431,328

2⁵ × 3 × 4493

431,328 factors as 2^5 × 3 × 4493. Its 24 positive divisors give a proper-divisor sum of 701,160, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 4493

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,132,488

Proper Divisor Sum 701,160

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #431311 ← → #431329

Radix Representation

Decimal	431328
Binary	1101001010011100000 (19 bits)
Octal	0o1512340
Hexadecimal	0x694E0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 4,493 8,986 13,479 17,972 26,958 35,944 53,916 71,888 107,832 143,776 215,664 431,328

Collatz Trajectory (94 steps to reach 1)

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

431,328 215,664 107,832 53,916 26,958 13,479 40,438 20,219 60,658 30,329 90,988 45,494 22,747 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458

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