631,609

11 × 67 × 857

631,609 factors as 11 × 67 × 857. Its 8 positive divisors give a proper-divisor sum of 68,519, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 11 × 67 × 857

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 700,128

Proper Divisor Sum 68,519

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #631597 ← → #631613

Radix Representation

Decimal	631609
Binary	10011010001100111001 (20 bits)
Octal	0o2321471
Hexadecimal	0x9A339

Divisor Catalog (8)

1 11 67 737 857 9,427 57,419 631,609

Collatz Trajectory (66 steps to reach 1)

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

631,609 1,894,828 947,414 473,707 1,421,122 710,561 2,131,684 1,065,842 532,921 1,598,764 799,382 399,691 1,199,074 599,537 1,798,612 899,306 449,653 1,348,960 674,480 337,240 168,620 84,310 42,155 126,466 63,233 189,700 94,850 47,425 142,276 71,138 35,569 106,708 53,354 26,677 80,032 40,016 20,008 10,004 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20

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