11,117,008

2⁴ × 7 × 99259

11,117,008 factors as 2^4 × 7 × 99259. Its 20 positive divisors give a proper-divisor sum of 13,499,472, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 99259

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 24,616,480

Proper Divisor Sum 13,499,472

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #11116999 ← → #11117011

Radix Representation

Decimal	11117008
Binary	101010011010000111010000 (24 bits)
Octal	0o52320720
Hexadecimal	0xA9A1D0

Divisor Catalog (20)

Collatz Trajectory (171 steps to reach 1)

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

11,117,008 5,558,504 2,779,252 1,389,626 694,813 2,084,440 1,042,220 521,110 260,555 781,666 390,833 1,172,500 586,250 293,125 879,376 439,688 219,844 109,922 54,961 164,884 82,442 41,221 123,664 61,832 30,916 15,458 7,729 23,188 11,594 5,797 17,392 8,696 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328

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