λ
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17,539,536

24 × 3 × 7 × 52201
Abundant Even Composite

17,539,536 factors as 2^4 × 3 × 7 × 52201. Its 40 positive divisors give a proper-divisor sum of 34,244,848, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 52201
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 51,784,384
Proper Divisor Sum 34,244,848
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #17539499 ← → #17539537

Radix Representation

Decimal 17539536
Binary 1000010111010000111010000 (25 bits)
Octal 0o102720720
Hexadecimal 0x10BA1D0

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 52,201 104,402 156,603 208,804 313,206 365,407 417,608 626,412 730,814 835,216 1,096,221 1,252,824 1,461,628 2,192,442 2,505,648 2,923,256 4,384,884 5,846,512 8,769,768 17,539,536

Collatz Trajectory (94 steps to reach 1)

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

17,539,536 8,769,768 4,384,884 2,192,442 1,096,221 3,288,664 1,644,332 822,166 411,083 1,233,250 616,625 1,849,876 924,938 462,469 1,387,408 693,704 346,852 173,426 86,713 260,140 130,070 65,035 195,106 97,553 292,660 146,330 73,165 219,496 109,748 54,874 27,437 82,312 41,156 20,578 10,289 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094

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