Displaying 101-110 of 113 results found.
Sum of squares of digits of prime factors of n, with multiplicity.
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0
0, 4, 9, 8, 25, 13, 49, 12, 18, 29, 2, 17, 10, 53, 34, 16, 50, 22, 82, 33, 58, 6, 13, 21, 50, 14, 27, 57, 85, 38, 10, 20, 11, 54, 74, 26, 58, 86, 19, 37, 17, 62, 25, 10, 43, 17, 65, 25, 98, 54, 59, 18, 34, 31, 27, 61, 91, 89, 106, 42
Numbers n such that the sum of the squares of the digits of n^n is a square.
+10
0
0, 1, 2, 8, 10, 100, 123, 209, 312, 1000, 1668, 2191, 2268, 4767, 9338, 10000, 11004, 12248, 12322, 15926, 17951, 18202, 19764, 21807, 29509, 42647, 43072, 44750, 54237, 56634, 70383, 74032, 85325, 90906, 95261, 100000
Smallest prime p such that the sum of the squares of the digits of p equals n (or 0 if no such prime exists).
+10
0
0, 11, 0, 2, 101111, 211, 2111, 101111111, 3, 13, 113, 112121, 23, 21221, 1123, 11213, 41, 1223, 313, 10133, 241, 233, 112223, 21313, 5, 431, 151, 1151, 13313, 251, 2333, 11251, 2243, 53, 1433, 1153, 61, 523, 1523, 11161, 443, 541, 353, 33413, 2621, 163, 1163, 13523, 7, 17
Primes prime(k) such that the sum of the squares of digits of prime(k) equals the sum of the squares of digits of k.
+10
0
449, 2141, 2213, 3137, 4339, 4349, 4421, 5701, 9623, 13093, 14653, 16447, 16567, 22901, 27091, 36061, 41491, 45403, 45413, 45433, 50417, 52691, 54631, 54941, 55049, 56963, 57089, 58943, 60601, 61043, 61051, 63607, 65831, 66301, 67843, 68543, 72019, 73421
Primes such that the sum of the squares of their digits equals the number of their digits.
+10
0
11, 102001, 1000121, 1000211, 1002101, 1010201, 1020011, 1020101, 1021001, 1102001, 1120001, 1201001, 2001101, 2100011, 2110001, 100012111, 100101121, 100110121, 100112101, 100121011, 100211101, 101020111, 101100211, 101102101, 101110201, 101210101, 102100111
Sum of the 16th powers of the decimal digits of n.
+10
0
0, 1, 65536, 43046721, 4294967296, 152587890625, 2821109907456, 33232930569601, 281474976710656, 1853020188851841, 1, 2, 65537, 43046722, 4294967297, 152587890626, 2821109907457, 33232930569602, 281474976710657, 1853020188851842, 65536, 65537, 131072, 43112257
Numbers n such that sum of digits of n equals the least prime dividing n and sum of squares of digits of n equals the greatest prime dividing n.
+10
0
133, 803, 2023, 106811, 383177, 1071949, 1342027, 2025343, 2569757, 2911123, 3341831, 3993883, 6285901, 10860071, 11194319, 13270013, 21736109, 21871477, 22159451, 22421587, 26011229, 27600257, 31174391, 32656681, 34880611, 40435193, 41755573, 53738911
Numbers n whose sum of digits, sum of square of digits and sum of cube of digits all have the same digital root.
+10
0
1, 9, 10, 11, 19, 36, 47, 63, 74, 90, 91, 99, 100, 101, 109, 110, 111, 119, 136, 147, 163, 174, 190, 191, 199, 306, 316, 333, 360, 361, 369, 396, 407, 417, 444, 470, 471, 479, 497, 603, 613, 630, 631, 639, 666, 693, 704, 714, 740, 741, 749, 777, 794, 900, 901, 909, 910, 911, 919, 936, 947, 963, 974, 990, 991, 999, 1000, 1001
Numbers n such that A290223(n) = 0.
+10
0
1, 19, 81, 162, 181, 199, 243, 262, 324, 343, 405, 424, 486, 505, 567, 648, 685, 729, 766, 810, 847, 891, 910, 928, 972, 1053, 1072, 1134, 1153, 1215, 1234, 1296, 1315, 1377, 1458, 1495, 1539, 1576, 1620, 1657, 1701, 1720, 1738, 1782, 1801, 1819, 1863, 1944, 1981, 1999, 2025, 2044, 2106, 2125, 2187, 2206, 2268
Numbers n such that A290223(n) = 2.
+10
0
2, 23, 62, 77, 119, 194, 287, 398
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