382,891

17 × 101 × 223

382,891 factors as 17 × 101 × 223. Its 8 positive divisors give a proper-divisor sum of 28,373, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 17 × 101 × 223

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 411,264

Proper Divisor Sum 28,373

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #382883 ← → #382919

Radix Representation

Decimal	382891
Binary	1011101011110101011 (19 bits)
Octal	0o1353653
Hexadecimal	0x5D7AB

Divisor Catalog (8)

1 17 101 223 1,717 3,791 22,523 382,891

Collatz Trajectory (117 steps to reach 1)

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

382,891 1,148,674 574,337 1,723,012 861,506 430,753 1,292,260 646,130 323,065 969,196 484,598 242,299 726,898 363,449 1,090,348 545,174 272,587 817,762 408,881 1,226,644 613,322 306,661 919,984 459,992 229,996 114,998 57,499 172,498 86,249 258,748 129,374 64,687 194,062 97,031 291,094 145,547 436,642 218,321 654,964 327,482 163,741 491,224 245,612 122,806 61,403 184,210 92,105 276,316 138,158 69,079 207,238 103,619 310,858 155,429 466,288 233,144 116,572 58,286 29,143 87,430

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