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Atlas › Integer Profiles › Node 8,976,012

8,976,012

22 × 3 × 499 × 1499
Abundant Even Composite

8,976,012 factors as 2^2 × 3 × 499 × 1499. Its 24 positive divisors give a proper-divisor sum of 12,023,988, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 499 × 1499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,000,000
Proper Divisor Sum 12,023,988
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8976001 ← → #8976029

Radix Representation

Decimal 8976012
Binary 100010001111011010001100 (24 bits)
Octal 0o42173214
Hexadecimal 0x88F68C

Divisor Catalog (24)

1 2 3 4 6 12 499 998 1,497 1,499 1,996 2,994 2,998 4,497 5,988 5,996 8,994 17,988 748,001 1,496,002 2,244,003 2,992,004 4,488,006 8,976,012

Collatz Trajectory (75 steps to reach 1)

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

8,976,012 4,488,006 2,244,003 6,732,010 3,366,005 10,098,016 5,049,008 2,524,504 1,262,252 631,126 315,563 946,690 473,345 1,420,036 710,018 355,009 1,065,028 532,514 266,257 798,772 399,386 199,693 599,080 299,540 149,770 74,885 224,656 112,328 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44

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