11,736,332

2² × 41 × 71563

11,736,332 factors as 2^2 × 41 × 71563. Its 12 positive divisors give a proper-divisor sum of 9,303,484, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^2 × 41 × 71563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 21,039,816

Proper Divisor Sum 9,303,484

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #11736331 ← → #11736337

Radix Representation

Decimal	11736332
Binary	101100110001010100001100 (24 bits)
Octal	0o54612414
Hexadecimal	0xB3150C

Divisor Catalog (12)

1 2 4 41 82 164 71,563 143,126 286,252 2,934,083 5,868,166 11,736,332

Collatz Trajectory (184 steps to reach 1)

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

11,736,332 5,868,166 2,934,083 8,802,250 4,401,125 13,203,376 6,601,688 3,300,844 1,650,422 825,211 2,475,634 1,237,817 3,713,452 1,856,726 928,363 2,785,090 1,392,545 4,177,636 2,088,818 1,044,409 3,133,228 1,566,614 783,307 2,349,922 1,174,961 3,524,884 1,762,442 881,221 2,643,664 1,321,832 660,916 330,458 165,229 495,688 247,844 123,922 61,961 185,884 92,942 46,471 139,414 69,707 209,122 104,561 313,684 156,842 78,421 235,264 117,632 58,816 29,408 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069

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