59,629,432

2³ × 23 × 324073

59,629,432 factors as 2^3 × 23 × 324073. Its 16 positive divisors give a proper-divisor sum of 57,037,208, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 324073

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 116,666,640

Proper Divisor Sum 57,037,208

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #59629411 ← → #59629477

Radix Representation

Decimal	59629432
Binary	11100011011101111101111000 (26 bits)
Octal	0o343357570
Hexadecimal	0x38DDF78

Divisor Catalog (16)

1 2 4 8 23 46 92 184 324,073 648,146 1,296,292 2,592,584 7,453,679 14,907,358 29,814,716 59,629,432

Collatz Trajectory (88 steps to reach 1)

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

59,629,432 29,814,716 14,907,358 7,453,679 22,361,038 11,180,519 33,541,558 16,770,779 50,312,338 25,156,169 75,468,508 37,734,254 18,867,127 56,601,382 28,300,691 84,902,074 42,451,037 127,353,112 63,676,556 31,838,278 15,919,139 47,757,418 23,878,709 71,636,128 35,818,064 17,909,032 8,954,516 4,477,258 2,238,629 6,715,888 3,357,944 1,678,972 839,486 419,743 1,259,230 629,615 1,888,846 944,423 2,833,270 1,416,635 4,249,906 2,124,953 6,374,860 3,187,430 1,593,715 4,781,146 2,390,573 7,171,720 3,585,860 1,792,930 896,465 2,689,396 1,344,698 672,349 2,017,048 1,008,524 504,262 252,131 756,394 378,197

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