632,331

3² × 7 × 10037

Starting at 632,331, the Collatz iteration reaches 1 after 172 steps. The first transition is 1896994; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 10037

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,043,952

Proper Divisor Sum 411,621

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #632329 ← → #632347

Radix Representation

Decimal	632331
Binary	10011010011000001011 (20 bits)
Octal	0o2323013
Hexadecimal	0x9A60B

Divisor Catalog (12)

1 3 7 9 21 63 10,037 30,111 70,259 90,333 210,777 632,331

Collatz Trajectory (172 steps to reach 1)

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

632,331 1,896,994 948,497 2,845,492 1,422,746 711,373 2,134,120 1,067,060 533,530 266,765 800,296 400,148 200,074 100,037 300,112 150,056 75,028 37,514 18,757 56,272 28,136 14,068 7,034 3,517 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674

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