λ
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8,928,656

24 × 11 × 97 × 523
Abundant Even Composite

8,928,656 factors as 2^4 × 11 × 97 × 523. Its 40 positive divisors give a proper-divisor sum of 10,174,288, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 97 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 19,102,944
Proper Divisor Sum 10,174,288
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8928653 ← → #8928671

Radix Representation

Decimal 8928656
Binary 100010000011110110010000 (24 bits)
Octal 0o42036620
Hexadecimal 0x883D90

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 97 176 194 388 523 776 1,046 1,067 1,552 2,092 2,134 4,184 4,268 5,753 8,368 8,536 11,506 17,072 23,012 46,024 50,731 92,048 101,462 202,924 405,848 558,041 811,696 1,116,082 2,232,164 4,464,328 8,928,656

Collatz Trajectory (181 steps to reach 1)

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

8,928,656 4,464,328 2,232,164 1,116,082 558,041 1,674,124 837,062 418,531 1,255,594 627,797 1,883,392 941,696 470,848 235,424 117,712 58,856 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579

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