626,171

7² × 13 × 983

Starting at 626,171, the Collatz iteration reaches 1 after 53 steps. The first transition is 1878514; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 13 × 983

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 785,232

Proper Divisor Sum 159,061

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #626159 ← → #626173

Radix Representation

Decimal	626171
Binary	10011000110111111011 (20 bits)
Octal	0o2306773
Hexadecimal	0x98DFB

Divisor Catalog (12)

1 7 13 49 91 637 983 6,881 12,779 48,167 89,453 626,171

Collatz Trajectory (53 steps to reach 1)

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

626,171 1,878,514 939,257 2,817,772 1,408,886 704,443 2,113,330 1,056,665 3,169,996 1,584,998 792,499 2,377,498 1,188,749 3,566,248 1,783,124 891,562 445,781 1,337,344 668,672 334,336 167,168 83,584 41,792 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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