379,596

2² × 3 × 7 × 4519

379,596 factors as 2^2 × 3 × 7 × 4519. Its 24 positive divisors give a proper-divisor sum of 632,884, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 4519

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,012,480

Proper Divisor Sum 632,884

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #379579 ← → #379597

Radix Representation

Decimal	379596
Binary	1011100101011001100 (19 bits)
Octal	0o1345314
Hexadecimal	0x5CACC

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 4,519 9,038 13,557 18,076 27,114 31,633 54,228 63,266 94,899 126,532 189,798 379,596

Collatz Trajectory (179 steps to reach 1)

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

379,596 189,798 94,899 284,698 142,349 427,048 213,524 106,762 53,381 160,144 80,072 40,036 20,018 10,009 30,028 15,014 7,507 22,522 11,261 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458

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