9,502,252

2² × 17 × 139739

9,502,252 factors as 2^2 × 17 × 139739. Its 12 positive divisors give a proper-divisor sum of 8,104,988, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 139739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,607,240

Proper Divisor Sum 8,104,988

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #9502249 ← → #9502271

Radix Representation

Decimal	9502252
Binary	100100001111111000101100 (24 bits)
Octal	0o44177054
Hexadecimal	0x90FE2C

Divisor Catalog (12)

1 2 4 17 34 68 139,739 279,478 558,956 2,375,563 4,751,126 9,502,252

Collatz Trajectory (101 steps to reach 1)

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

9,502,252 4,751,126 2,375,563 7,126,690 3,563,345 10,690,036 5,345,018 2,672,509 8,017,528 4,008,764 2,004,382 1,002,191 3,006,574 1,503,287 4,509,862 2,254,931 6,764,794 3,382,397 10,147,192 5,073,596 2,536,798 1,268,399 3,805,198 1,902,599 5,707,798 2,853,899 8,561,698 4,280,849 12,842,548 6,421,274 3,210,637 9,631,912 4,815,956 2,407,978 1,203,989 3,611,968 1,805,984 902,992 451,496 225,748 112,874 56,437 169,312 84,656 42,328 21,164 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048

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