813,741

3 × 37 × 7331

813,741 factors as 3 × 37 × 7331. Its 8 positive divisors give a proper-divisor sum of 300,723, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 3 × 37 × 7331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,114,464

Proper Divisor Sum 300,723

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #813721 ← → #813749

Radix Representation

Decimal	813741
Binary	11000110101010101101 (20 bits)
Octal	0o3065255
Hexadecimal	0xC6AAD

Divisor Catalog (8)

1 3 37 111 7,331 21,993 271,247 813,741

Collatz Trajectory (113 steps to reach 1)

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

813,741 2,441,224 1,220,612 610,306 305,153 915,460 457,730 228,865 686,596 343,298 171,649 514,948 257,474 128,737 386,212 193,106 96,553 289,660 144,830 72,415 217,246 108,623 325,870 162,935 488,806 244,403 733,210 366,605 1,099,816 549,908 274,954 137,477 412,432 206,216 103,108 51,554 25,777 77,332 38,666 19,333 58,000 29,000 14,500 7,250 3,625 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982

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