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Atlas › Integer Profiles › Node 8,759,504

8,759,504

24 × 13 × 23 × 1831
Abundant Even Composite

8,759,504 factors as 2^4 × 13 × 23 × 1831. Its 40 positive divisors give a proper-divisor sum of 10,322,608, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 23 × 1831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,082,112
Proper Divisor Sum 10,322,608
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8759503 ← → #8759507

Radix Representation

Decimal 8759504
Binary 100001011010100011010000 (24 bits)
Octal 0o41324320
Hexadecimal 0x85A8D0

Divisor Catalog (40)

1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1,196 1,831 2,392 3,662 4,784 7,324 14,648 23,803 29,296 42,113 47,606 84,226 95,212 168,452 190,424 336,904 380,848 547,469 673,808 1,094,938 2,189,876 4,379,752 8,759,504

Collatz Trajectory (88 steps to reach 1)

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

8,759,504 4,379,752 2,189,876 1,094,938 547,469 1,642,408 821,204 410,602 205,301 615,904 307,952 153,976 76,988 38,494 19,247 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43

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