382,995

3³ × 5 × 2837

382,995 factors as 3^3 × 5 × 2837. Its 16 positive divisors give a proper-divisor sum of 298,125, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 2837

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 681,120

Proper Divisor Sum 298,125

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #382979 ← → #382999

Radix Representation

Decimal	382995
Binary	1011101100000010011 (19 bits)
Octal	0o1354023
Hexadecimal	0x5D813

Divisor Catalog (16)

1 3 5 9 15 27 45 135 2,837 8,511 14,185 25,533 42,555 76,599 127,665 382,995

Collatz Trajectory (161 steps to reach 1)

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

382,995 1,148,986 574,493 1,723,480 861,740 430,870 215,435 646,306 323,153 969,460 484,730 242,365 727,096 363,548 181,774 90,887 272,662 136,331 408,994 204,497 613,492 306,746 153,373 460,120 230,060 115,030 57,515 172,546 86,273 258,820 129,410 64,705 194,116 97,058 48,529 145,588 72,794 36,397 109,192 54,596 27,298 13,649 40,948 20,474 10,237 30,712 15,356 7,678 3,839 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478

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