851,617

13 × 109 × 601

Starting at 851,617, the Collatz iteration reaches 1 after 250 steps. The first transition is 2554852; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 109 × 601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 927,080

Proper Divisor Sum 75,463

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #851603 ← → #851623

Radix Representation

Decimal	851617
Binary	11001111111010100001 (20 bits)
Octal	0o3177241
Hexadecimal	0xCFEA1

Divisor Catalog (8)

1 13 109 601 1,417 7,813 65,509 851,617

Collatz Trajectory (250 steps to reach 1)

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

851,617 2,554,852 1,277,426 638,713 1,916,140 958,070 479,035 1,437,106 718,553 2,155,660 1,077,830 538,915 1,616,746 808,373 2,425,120 1,212,560 606,280 303,140 151,570 75,785 227,356 113,678 56,839 170,518 85,259 255,778 127,889 383,668 191,834 95,917 287,752 143,876 71,938 35,969 107,908 53,954 26,977 80,932 40,466 20,233 60,700 30,350 15,175 45,526 22,763 68,290 34,145 102,436 51,218 25,609 76,828 38,414 19,207 57,622 28,811 86,434 43,217 129,652 64,826 32,413

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