717,008

2⁴ × 41 × 1093

717,008 factors as 2^4 × 41 × 1093. Its 20 positive divisors give a proper-divisor sum of 707,380, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 1093

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,424,388

Proper Divisor Sum 707,380

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #717001 ← → #717011

Radix Representation

Decimal	717008
Binary	10101111000011010000 (20 bits)
Octal	0o2570320
Hexadecimal	0xAF0D0

Divisor Catalog (20)

1 2 4 8 16 41 82 164 328 656 1,093 2,186 4,372 8,744 17,488 44,813 89,626 179,252 358,504 717,008

Collatz Trajectory (74 steps to reach 1)

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

717,008 358,504 179,252 89,626 44,813 134,440 67,220 33,610 16,805 50,416 25,208 12,604 6,302 3,151 9,454 4,727 14,182 7,091 21,274 10,637 31,912 15,956 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22

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