9,505,340

2² × 5 × 13 × 36559

9,505,340 factors as 2^2 × 5 × 13 × 36559. Its 24 positive divisors give a proper-divisor sum of 11,991,940, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 36559

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,497,280

Proper Divisor Sum 11,991,940

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #9505333 ← → #9505361

Radix Representation

Decimal	9505340
Binary	100100010000101000111100 (24 bits)
Octal	0o44205074
Hexadecimal	0x910A3C

Divisor Catalog (24)

Collatz Trajectory (238 steps to reach 1)

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

9,505,340 4,752,670 2,376,335 7,129,006 3,564,503 10,693,510 5,346,755 16,040,266 8,020,133 24,060,400 12,030,200 6,015,100 3,007,550 1,503,775 4,511,326 2,255,663 6,766,990 3,383,495 10,150,486 5,075,243 15,225,730 7,612,865 22,838,596 11,419,298 5,709,649 17,128,948 8,564,474 4,282,237 12,846,712 6,423,356 3,211,678 1,605,839 4,817,518 2,408,759 7,226,278 3,613,139 10,839,418 5,419,709 16,259,128 8,129,564 4,064,782 2,032,391 6,097,174 3,048,587 9,145,762 4,572,881 13,718,644 6,859,322 3,429,661 10,288,984 5,144,492 2,572,246 1,286,123 3,858,370 1,929,185 5,787,556 2,893,778 1,446,889 4,340,668 2,170,334

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