36,926,872

2³ × 557 × 8287

36,926,872 factors as 2^3 × 557 × 8287. Its 16 positive divisors give a proper-divisor sum of 32,443,688, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^3 × 557 × 8287

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 69,370,560

Proper Divisor Sum 32,443,688

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #36926867 ← → #36926893

Radix Representation

Decimal	36926872
Binary	10001100110111010110011000 (26 bits)
Octal	0o214672630
Hexadecimal	0x2337598

Divisor Catalog (16)

1 2 4 8 557 1,114 2,228 4,456 8,287 16,574 33,148 66,296 4,615,859 9,231,718 18,463,436 36,926,872

Collatz Trajectory (77 steps to reach 1)

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

36,926,872 18,463,436 9,231,718 4,615,859 13,847,578 6,923,789 20,771,368 10,385,684 5,192,842 2,596,421 7,789,264 3,894,632 1,947,316 973,658 486,829 1,460,488 730,244 365,122 182,561 547,684 273,842 136,921 410,764 205,382 102,691 308,074 154,037 462,112 231,056 115,528 57,764 28,882 14,441 43,324 21,662 10,831 32,494 16,247 48,742 24,371 73,114 36,557 109,672 54,836 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181

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