680,381

13 × 199 × 263

680,381 factors as 13 × 199 × 263. Its 8 positive divisors give a proper-divisor sum of 58,819, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 13 × 199 × 263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 739,200

Proper Divisor Sum 58,819

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #680377 ← → #680387

Radix Representation

Decimal	680381
Binary	10100110000110111101 (20 bits)
Octal	0o2460675
Hexadecimal	0xA61BD

Divisor Catalog (8)

1 13 199 263 2,587 3,419 52,337 680,381

Collatz Trajectory (123 steps to reach 1)

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

680,381 2,041,144 1,020,572 510,286 255,143 765,430 382,715 1,148,146 574,073 1,722,220 861,110 430,555 1,291,666 645,833 1,937,500 968,750 484,375 1,453,126 726,563 2,179,690 1,089,845 3,269,536 1,634,768 817,384 408,692 204,346 102,173 306,520 153,260 76,630 38,315 114,946 57,473 172,420 86,210 43,105 129,316 64,658 32,329 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895

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