379,746

2 × 3² × 17² × 73

379,746 factors as 2 × 3^2 × 17^2 × 73. Its 36 positive divisors give a proper-divisor sum of 506,256, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17^2 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 886,002

Proper Divisor Sum 506,256

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #379727 ← → #379751

Radix Representation

Decimal	379746
Binary	1011100101101100010 (19 bits)
Octal	0o1345542
Hexadecimal	0x5CB62

Divisor Catalog (36)

1 2 3 6 9 17 18 34 51 73 102 146 153 219 289 306 438 578 657 867 1,241 1,314 1,734 2,482 2,601 3,723 5,202 7,446 11,169 21,097 22,338 42,194 63,291 126,582 189,873 379,746

Collatz Trajectory (78 steps to reach 1)

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

379,746 189,873 569,620 284,810 142,405 427,216 213,608 106,804 53,402 26,701 80,104 40,052 20,026 10,013 30,040 15,020 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416

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