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Atlas › Integer Profiles › Node 10,242,864

10,242,864

24 × 32 × 83 × 857
Abundant Even Composite

10,242,864 factors as 2^4 × 3^2 × 83 × 857. Its 60 positive divisors give a proper-divisor sum of 18,802,152, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 83 × 857
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 29,045,016
Proper Divisor Sum 18,802,152
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10242863 ← → #10242871

Radix Representation

Decimal 10242864
Binary 100111000100101100110000 (24 bits)
Octal 0o47045460
Hexadecimal 0x9C4B30

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 857 996 1,328 1,494 1,714 1,992 2,571 2,988 3,428 3,984 5,142 5,976 6,856 7,713 10,284 11,952 13,712 15,426 20,568 30,852 41,136 61,704 71,131 123,408 142,262 213,393 284,524 426,786 569,048 640,179 853,572 1,138,096 1,280,358 1,707,144 2,560,716 3,414,288 5,121,432 10,242,864

Collatz Trajectory (101 steps to reach 1)

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

10,242,864 5,121,432 2,560,716 1,280,358 640,179 1,920,538 960,269 2,880,808 1,440,404 720,202 360,101 1,080,304 540,152 270,076 135,038 67,519 202,558 101,279 303,838 151,919 455,758 227,879 683,638 341,819 1,025,458 512,729 1,538,188 769,094 384,547 1,153,642 576,821 1,730,464 865,232 432,616 216,308 108,154 54,077 162,232 81,116 40,558 20,279 60,838 30,419 91,258 45,629 136,888 68,444 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829

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