λ
Sigma Notebook

8,774,976

26 × 3 × 7 × 6529
Abundant Even Composite

8,774,976 is even and not a perfect square. Its factorization is 2^6 × 3 × 7 × 6529 and its 56 divisors sum to 26,537,920.

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 6529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 26,537,920
Proper Divisor Sum 17,762,944
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8774959 ← → #8774989

Radix Representation

Decimal 8774976
Binary 100001011110010101000000 (24 bits)
Octal 0o41362500
Hexadecimal 0x85E540

Divisor Catalog (56)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1,344 6,529 13,058 19,587 26,116 39,174 45,703 52,232 78,348 91,406 104,464 137,109 156,696 182,812 208,928 274,218 313,392 365,624 417,856 548,436 626,784 731,248 1,096,872 1,253,568 1,462,496 2,193,744 2,924,992 4,387,488 8,774,976

Collatz Trajectory (88 steps to reach 1)

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

8,774,976 4,387,488 2,193,744 1,096,872 548,436 274,218 137,109 411,328 205,664 102,832 51,416 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43

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