λ
Sigma Notebook

8,876,736

26 × 33 × 11 × 467
Abundant Even Composite

8,876,736 is even and not a perfect square. Its factorization is 2^6 × 3^3 × 11 × 467 and its 112 divisors sum to 28,529,280.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 11 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 28,529,280
Proper Divisor Sum 19,652,544
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8876729 ← → #8876759

Radix Representation

Decimal 8876736
Binary 100001110111001011000000 (24 bits)
Octal 0o41671300
Hexadecimal 0x8772C0

Divisor Catalog (60 of 112)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 467 528 576 594 704 792 864 934 1,056 1,188 1,401 1,584 1,728 1,868 2,112 2,376 2,802 3,168 3,736 4,203 4,752

Collatz Trajectory (287 steps to reach 1)

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

8,876,736 4,438,368 2,219,184 1,109,592 554,796 277,398 138,699 416,098 208,049 624,148 312,074 156,037 468,112 234,056 117,028 58,514 29,257 87,772 43,886 21,943 65,830 32,915 98,746 49,373 148,120 74,060 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315

More profiles

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