λ
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Atlas › Integer Profiles › Node 80,929,524

80,929,524

22 × 3 × 13 × 518779
Abundant Even Composite

80,929,524 factors as 2^2 × 3 × 13 × 518779. Its 24 positive divisors give a proper-divisor sum of 122,432,236, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 518779
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 203,361,760
Proper Divisor Sum 122,432,236
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #80929523 ← → #80929529

Radix Representation

Decimal 80929524
Binary 100110100101110001011110100 (27 bits)
Octal 0o464561364
Hexadecimal 0x4D2E2F4

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 518,779 1,037,558 1,556,337 2,075,116 3,112,674 6,225,348 6,744,127 13,488,254 20,232,381 26,976,508 40,464,762 80,929,524

Collatz Trajectory (166 steps to reach 1)

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

80,929,524 40,464,762 20,232,381 60,697,144 30,348,572 15,174,286 7,587,143 22,761,430 11,380,715 34,142,146 17,071,073 51,213,220 25,606,610 12,803,305 38,409,916 19,204,958 9,602,479 28,807,438 14,403,719 43,211,158 21,605,579 64,816,738 32,408,369 97,225,108 48,612,554 24,306,277 72,918,832 36,459,416 18,229,708 9,114,854 4,557,427 13,672,282 6,836,141 20,508,424 10,254,212 5,127,106 2,563,553 7,690,660 3,845,330 1,922,665 5,767,996 2,883,998 1,441,999 4,325,998 2,162,999 6,488,998 3,244,499 9,733,498 4,866,749 14,600,248 7,300,124 3,650,062 1,825,031 5,475,094 2,737,547 8,212,642 4,106,321 12,318,964 6,159,482 3,079,741

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