632,286

2 × 3⁵ × 1301

632,286 factors as 2 × 3^5 × 1301. Its 24 positive divisors give a proper-divisor sum of 789,498, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 1301

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,421,784

Proper Divisor Sum 789,498

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #632273 ← → #632297

Radix Representation

Decimal	632286
Binary	10011010010111011110 (20 bits)
Octal	0o2322736
Hexadecimal	0x9A5DE

Divisor Catalog (24)

Collatz Trajectory (159 steps to reach 1)

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

632,286 316,143 948,430 474,215 1,422,646 711,323 2,133,970 1,066,985 3,200,956 1,600,478 800,239 2,400,718 1,200,359 3,601,078 1,800,539 5,401,618 2,700,809 8,102,428 4,051,214 2,025,607 6,076,822 3,038,411 9,115,234 4,557,617 13,672,852 6,836,426 3,418,213 10,254,640 5,127,320 2,563,660 1,281,830 640,915 1,922,746 961,373 2,884,120 1,442,060 721,030 360,515 1,081,546 540,773 1,622,320 811,160 405,580 202,790 101,395 304,186 152,093 456,280 228,140 114,070 57,035 171,106 85,553 256,660 128,330 64,165 192,496 96,248 48,124 24,062

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