λ
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750,992

24 × 11 × 17 × 251
Abundant Even Composite

750,992 factors as 2^4 × 11 × 17 × 251. Its 40 positive divisors give a proper-divisor sum of 936,400, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 17 × 251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,687,392
Proper Divisor Sum 936,400
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #750983 ← → #751001

Radix Representation

Decimal 750992
Binary 10110111010110010000 (20 bits)
Octal 0o2672620
Hexadecimal 0xB7590

Divisor Catalog (40)

1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 251 272 374 502 748 1,004 1,496 2,008 2,761 2,992 4,016 4,267 5,522 8,534 11,044 17,068 22,088 34,136 44,176 46,937 68,272 93,874 187,748 375,496 750,992

Collatz Trajectory (87 steps to reach 1)

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

750,992 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805 158,416 79,208 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134

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