9,711,732

2² × 3 × 467 × 1733

9,711,732 factors as 2^2 × 3 × 467 × 1733. Its 24 positive divisors give a proper-divisor sum of 13,010,604, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 467 × 1733

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 22,722,336

Proper Divisor Sum 13,010,604

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9711659 ← → #9711733

Radix Representation

Decimal	9711732
Binary	100101000011000001110100 (24 bits)
Octal	0o45030164
Hexadecimal	0x943074

Divisor Catalog (24)

Collatz Trajectory (114 steps to reach 1)

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

9,711,732 4,855,866 2,427,933 7,283,800 3,641,900 1,820,950 910,475 2,731,426 1,365,713 4,097,140 2,048,570 1,024,285 3,072,856 1,536,428 768,214 384,107 1,152,322 576,161 1,728,484 864,242 432,121 1,296,364 648,182 324,091 972,274 486,137 1,458,412 729,206 364,603 1,093,810 546,905 1,640,716 820,358 410,179 1,230,538 615,269 1,845,808 922,904 461,452 230,726 115,363 346,090 173,045 519,136 259,568 129,784 64,892 32,446 16,223 48,670 24,335 73,006 36,503 109,510 54,755 164,266 82,133 246,400 123,200 61,600

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