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Atlas › Integer Profiles › Node 8,976,604

8,976,604

22 × 72 × 132 × 271
Abundant Even Composite

8,976,604 factors as 2^2 × 7^2 × 13^2 × 271. Its 54 positive divisors give a proper-divisor sum of 10,884,020, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13^2 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 19,860,624
Proper Divisor Sum 10,884,020
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8976589 ← → #8976619

Radix Representation

Decimal 8976604
Binary 100010001111100011011100 (24 bits)
Octal 0o42174334
Hexadecimal 0x88F8DC

Divisor Catalog (54)

1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 271 338 364 542 637 676 1,084 1,183 1,274 1,897 2,366 2,548 3,523 3,794 4,732 7,046 7,588 8,281 13,279 14,092 16,562 24,661 26,558 33,124 45,799 49,322 53,116 91,598 98,644 172,627 183,196 320,593 345,254 641,186 690,508 1,282,372 2,244,151 4,488,302 8,976,604

Collatz Trajectory (111 steps to reach 1)

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

8,976,604 4,488,302 2,244,151 6,732,454 3,366,227 10,098,682 5,049,341 15,148,024 7,574,012 3,787,006 1,893,503 5,680,510 2,840,255 8,520,766 4,260,383 12,781,150 6,390,575 19,171,726 9,585,863 28,757,590 14,378,795 43,136,386 21,568,193 64,704,580 32,352,290 16,176,145 48,528,436 24,264,218 12,132,109 36,396,328 18,198,164 9,099,082 4,549,541 13,648,624 6,824,312 3,412,156 1,706,078 853,039 2,559,118 1,279,559 3,838,678 1,919,339 5,758,018 2,879,009 8,637,028 4,318,514 2,159,257 6,477,772 3,238,886 1,619,443 4,858,330 2,429,165 7,287,496 3,643,748 1,821,874 910,937 2,732,812 1,366,406 683,203 2,049,610

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