776,679

3 × 17 × 97 × 157

776,679 factors as 3 × 17 × 97 × 157. Its 16 positive divisors give a proper-divisor sum of 338,169, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 17 × 97 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,114,848

Proper Divisor Sum 338,169

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #776651 ← → #776683

Radix Representation

Decimal	776679
Binary	10111101100111100111 (20 bits)
Octal	0o2754747
Hexadecimal	0xBD9E7

Divisor Catalog (16)

1 3 17 51 97 157 291 471 1,649 2,669 4,947 8,007 15,229 45,687 258,893 776,679

Collatz Trajectory (180 steps to reach 1)

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

776,679 2,330,038 1,165,019 3,495,058 1,747,529 5,242,588 2,621,294 1,310,647 3,931,942 1,965,971 5,897,914 2,948,957 8,846,872 4,423,436 2,211,718 1,105,859 3,317,578 1,658,789 4,976,368 2,488,184 1,244,092 622,046 311,023 933,070 466,535 1,399,606 699,803 2,099,410 1,049,705 3,149,116 1,574,558 787,279 2,361,838 1,180,919 3,542,758 1,771,379 5,314,138 2,657,069 7,971,208 3,985,604 1,992,802 996,401 2,989,204 1,494,602 747,301 2,241,904 1,120,952 560,476 280,238 140,119 420,358 210,179 630,538 315,269 945,808 472,904 236,452 118,226 59,113 177,340

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