9,745,892

2² × 13³ × 1109

9,745,892 factors as 2^2 × 13^3 × 1109. Its 24 positive divisors give a proper-divisor sum of 8,746,708, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 13^3 × 1109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,492,600

Proper Divisor Sum 8,746,708

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9745891 ← → #9745949

Radix Representation

Decimal	9745892
Binary	100101001011010111100100 (24 bits)
Octal	0o45132744
Hexadecimal	0x94B5E4

Divisor Catalog (24)

Collatz Trajectory (150 steps to reach 1)

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

9,745,892 4,872,946 2,436,473 7,309,420 3,654,710 1,827,355 5,482,066 2,741,033 8,223,100 4,111,550 2,055,775 6,167,326 3,083,663 9,250,990 4,625,495 13,876,486 6,938,243 20,814,730 10,407,365 31,222,096 15,611,048 7,805,524 3,902,762 1,951,381 5,854,144 2,927,072 1,463,536 731,768 365,884 182,942 91,471 274,414 137,207 411,622 205,811 617,434 308,717 926,152 463,076 231,538 115,769 347,308 173,654 86,827 260,482 130,241 390,724 195,362 97,681 293,044 146,522 73,261 219,784 109,892 54,946 27,473 82,420 41,210 20,605 61,816

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