73,596

2² × 3 × 6133

73,596 factors as 2^2 × 3 × 6133. Its 12 positive divisors give a proper-divisor sum of 98,156, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 6133

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 171,752

Proper Divisor Sum 98,156

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #73589 ← → #73597

Radix Representation

Decimal	73596
Binary	10001111101111100 (17 bits)
Octal	0o217574
Hexadecimal	0x11F7C

Divisor Catalog (12)

1 2 3 4 6 12 6,133 12,266 18,399 24,532 36,798 73,596

Collatz Trajectory (68 steps to reach 1)

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

73,596 36,798 18,399 55,198 27,599 82,798 41,399 124,198 62,099 186,298 93,149 279,448 139,724 69,862 34,931 104,794 52,397 157,192 78,596 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13

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