9,102,964

2² × 13 × 31 × 5647

9,102,964 factors as 2^2 × 13 × 31 × 5647. Its 24 positive divisors give a proper-divisor sum of 8,609,164, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 31 × 5647

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,712,128

Proper Divisor Sum 8,609,164

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9102953 ← → #9102991

Radix Representation

Decimal	9102964
Binary	100010101110011001110100 (24 bits)
Octal	0o42563164
Hexadecimal	0x8AE674

Divisor Catalog (24)

Collatz Trajectory (132 steps to reach 1)

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

9,102,964 4,551,482 2,275,741 6,827,224 3,413,612 1,706,806 853,403 2,560,210 1,280,105 3,840,316 1,920,158 960,079 2,880,238 1,440,119 4,320,358 2,160,179 6,480,538 3,240,269 9,720,808 4,860,404 2,430,202 1,215,101 3,645,304 1,822,652 911,326 455,663 1,366,990 683,495 2,050,486 1,025,243 3,075,730 1,537,865 4,613,596 2,306,798 1,153,399 3,460,198 1,730,099 5,190,298 2,595,149 7,785,448 3,892,724 1,946,362 973,181 2,919,544 1,459,772 729,886 364,943 1,094,830 547,415 1,642,246 821,123 2,463,370 1,231,685 3,695,056 1,847,528 923,764 461,882 230,941 692,824 346,412

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