772,109

13 × 59393

772,109 factors as 13 × 59393. Its 4 positive divisors give a proper-divisor sum of 59,407, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 13 × 59393

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 831,516

Proper Divisor Sum 59,407

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #772097 ← → #772127

Radix Representation

Decimal	772109
Binary	10111100100000001101 (20 bits)
Octal	0o2744015
Hexadecimal	0xBC80D

Divisor Catalog (4)

1 13 59,393 772,109

Collatz Trajectory (100 steps to reach 1)

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

772,109 2,316,328 1,158,164 579,082 289,541 868,624 434,312 217,156 108,578 54,289 162,868 81,434 40,717 122,152 61,076 30,538 15,269 45,808 22,904 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818

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