λ
Integer Codex

8,559,616

210 × 13 × 643
Abundant Even Composite

For 8,559,616, the 44 positive divisors have a total of 18,455,752. Removing 8,559,616 leaves 9,896,136, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^10 × 13 × 643
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 18,455,752
Proper Divisor Sum 9,896,136
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8559613 ← → #8559631

Radix Representation

Decimal 8559616
Binary 100000101001110000000000 (24 bits)
Octal 0o40516000
Hexadecimal 0x829C00

Divisor Catalog (44)

1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 643 832 1,024 1,286 1,664 2,572 3,328 5,144 6,656 8,359 10,288 13,312 16,718 20,576 33,436 41,152 66,872 82,304 133,744 164,608 267,488 329,216 534,976 658,432 1,069,952 2,139,904 4,279,808 8,559,616

Collatz Trajectory (150 steps to reach 1)

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

8,559,616 4,279,808 2,139,904 1,069,952 534,976 267,488 133,744 66,872 33,436 16,718 8,359 25,078 12,539 37,618 18,809 56,428 28,214 14,107 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393 1,303,180 651,590 325,795

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