430,674

2 × 3 × 179 × 401

430,674 factors as 2 × 3 × 179 × 401. Its 16 positive divisors give a proper-divisor sum of 437,646, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2 × 3 × 179 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 868,320

Proper Divisor Sum 437,646

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #430663 ← → #430691

Radix Representation

Decimal	430674
Binary	1101001001001010010 (19 bits)
Octal	0o1511122
Hexadecimal	0x69252

Divisor Catalog (16)

1 2 3 6 179 358 401 537 802 1,074 1,203 2,406 71,779 143,558 215,337 430,674

Collatz Trajectory (174 steps to reach 1)

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

430,674 215,337 646,012 323,006 161,503 484,510 242,255 726,766 363,383 1,090,150 545,075 1,635,226 817,613 2,452,840 1,226,420 613,210 306,605 919,816 459,908 229,954 114,977 344,932 172,466 86,233 258,700 129,350 64,675 194,026 97,013 291,040 145,520 72,760 36,380 18,190 9,095 27,286 13,643 40,930 20,465 61,396 30,698 15,349 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402

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