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Atlas › Integer Profiles › Node 76,809,490

76,809,490

2 × 5 × 101 × 113 × 673
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 101 × 113 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 141,070,896
Proper Divisor Sum 64,261,406
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #76809463 ← → #76809493

Radix Representation

Decimal 76809490
Binary 100100101000000010100010010 (27 bits)
Octal 0o445002422
Hexadecimal 0x4940512

Divisor Catalog (32)

1 2 5 10 101 113 202 226 505 565 673 1,010 1,130 1,346 3,365 6,730 11,413 22,826 57,065 67,973 76,049 114,130 135,946 152,098 339,865 380,245 679,730 760,490 7,680,949 15,361,898 38,404,745 76,809,490

Collatz Trajectory (259 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

76,809,490 38,404,745 115,214,236 57,607,118 28,803,559 86,410,678 43,205,339 129,616,018 64,808,009 194,424,028 97,212,014 48,606,007 145,818,022 72,909,011 218,727,034 109,363,517 328,090,552 164,045,276 82,022,638 41,011,319 123,033,958 61,516,979 184,550,938 92,275,469 276,826,408 138,413,204 69,206,602 34,603,301 103,809,904 51,904,952 25,952,476 12,976,238 6,488,119 19,464,358 9,732,179 29,196,538 14,598,269 43,794,808 21,897,404 10,948,702 5,474,351 16,423,054 8,211,527 24,634,582 12,317,291 36,951,874 18,475,937 55,427,812 27,713,906 13,856,953 41,570,860 20,785,430 10,392,715 31,178,146 15,589,073 46,767,220 23,383,610 11,691,805 35,075,416 17,537,708

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