379,908

2² × 3² × 61 × 173

379,908 factors as 2^2 × 3^2 × 61 × 173. Its 36 positive divisors give a proper-divisor sum of 601,800, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 61 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 981,708

Proper Divisor Sum 601,800

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #379903 ← → #379909

Radix Representation

Decimal	379908
Binary	1011100110000000100 (19 bits)
Octal	0o1346004
Hexadecimal	0x5CC04

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 61 122 173 183 244 346 366 519 549 692 732 1,038 1,098 1,557 2,076 2,196 3,114 6,228 10,553 21,106 31,659 42,212 63,318 94,977 126,636 189,954 379,908

Collatz Trajectory (104 steps to reach 1)

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

379,908 189,954 94,977 284,932 142,466 71,233 213,700 106,850 53,425 160,276 80,138 40,069 120,208 60,104 30,052 15,026 7,513 22,540 11,270 5,635 16,906 8,453 25,360 12,680 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429

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