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Atlas › Integer Profiles › Node 8,976,006

8,976,006

2 × 32 × 13 × 89 × 431
Abundant Even Composite

8,976,006 factors as 2 × 3^2 × 13 × 89 × 431. Its 48 positive divisors give a proper-divisor sum of 12,252,474, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 89 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,228,480
Proper Divisor Sum 12,252,474
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8976001 ← → #8976029

Radix Representation

Decimal 8976006
Binary 100010001111011010000110 (24 bits)
Octal 0o42173206
Hexadecimal 0x88F686

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 431 534 801 862 1,157 1,293 1,602 2,314 2,586 3,471 3,879 5,603 6,942 7,758 10,413 11,206 16,809 20,826 33,618 38,359 50,427 76,718 100,854 115,077 230,154 345,231 498,667 690,462 997,334 1,496,001 2,992,002 4,488,003 8,976,006

Collatz Trajectory (75 steps to reach 1)

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

8,976,006 4,488,003 13,464,010 6,732,005 20,196,016 10,098,008 5,049,004 2,524,502 1,262,251 3,786,754 1,893,377 5,680,132 2,840,066 1,420,033 4,260,100 2,130,050 1,065,025 3,195,076 1,597,538 798,769 2,396,308 1,198,154 599,077 1,797,232 898,616 449,308 224,654 112,327 336,982 168,491 505,474 252,737 758,212 379,106 189,553 568,660 284,330 142,165 426,496 213,248 106,624 53,312 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44

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