10,002,975

3 × 5² × 41 × 3253

10,002,975 factors as 3 × 5^2 × 41 × 3253. Its 24 positive divisors give a proper-divisor sum of 6,943,857, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 41 × 3253

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,946,832

Proper Divisor Sum 6,943,857

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #10002959 ← → #10002983

Radix Representation

Decimal	10002975
Binary	100110001010001000011111 (24 bits)
Octal	0o46121037
Hexadecimal	0x98A21F

Divisor Catalog (24)

Collatz Trajectory (282 steps to reach 1)

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

10,002,975 30,008,926 15,004,463 45,013,390 22,506,695 67,520,086 33,760,043 101,280,130 50,640,065 151,920,196 75,960,098 37,980,049 113,940,148 56,970,074 28,485,037 85,455,112 42,727,556 21,363,778 10,681,889 32,045,668 16,022,834 8,011,417 24,034,252 12,017,126 6,008,563 18,025,690 9,012,845 27,038,536 13,519,268 6,759,634 3,379,817 10,139,452 5,069,726 2,534,863 7,604,590 3,802,295 11,406,886 5,703,443 17,110,330 8,555,165 25,665,496 12,832,748 6,416,374 3,208,187 9,624,562 4,812,281 14,436,844 7,218,422 3,609,211 10,827,634 5,413,817 16,241,452 8,120,726 4,060,363 12,181,090 6,090,545 18,271,636 9,135,818 4,567,909 13,703,728

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