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Atlas › Integer Profiles › Node 9,715,568

9,715,568

24 × 17 × 23 × 1553
Abundant Even Composite

9,715,568 factors as 2^4 × 17 × 23 × 1553. Its 40 positive divisors give a proper-divisor sum of 11,095,600, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 23 × 1553
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,811,168
Proper Divisor Sum 11,095,600
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9715553 ← → #9715579

Radix Representation

Decimal 9715568
Binary 100101000011111101110000 (24 bits)
Octal 0o45037560
Hexadecimal 0x943F70

Divisor Catalog (40)

1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1,553 1,564 3,106 3,128 6,212 6,256 12,424 24,848 26,401 35,719 52,802 71,438 105,604 142,876 211,208 285,752 422,416 571,504 607,223 1,214,446 2,428,892 4,857,784 9,715,568

Collatz Trajectory (238 steps to reach 1)

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

9,715,568 4,857,784 2,428,892 1,214,446 607,223 1,821,670 910,835 2,732,506 1,366,253 4,098,760 2,049,380 1,024,690 512,345 1,537,036 768,518 384,259 1,152,778 576,389 1,729,168 864,584 432,292 216,146 108,073 324,220 162,110 81,055 243,166 121,583 364,750 182,375 547,126 273,563 820,690 410,345 1,231,036 615,518 307,759 923,278 461,639 1,384,918 692,459 2,077,378 1,038,689 3,116,068 1,558,034 779,017 2,337,052 1,168,526 584,263 1,752,790 876,395 2,629,186 1,314,593 3,943,780 1,971,890 985,945 2,957,836 1,478,918 739,459 2,218,378

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