252,845

5 × 61 × 829

Starting at 252,845, the Collatz iteration reaches 1 after 181 steps. The first transition is 758536; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 61 × 829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 308,760

Proper Divisor Sum 55,915

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #252829 ← → #252869

Radix Representation

Decimal	252845
Binary	111101101110101101 (18 bits)
Octal	0o755655
Hexadecimal	0x3DBAD

Divisor Catalog (8)

1 5 61 305 829 4,145 50,569 252,845

Collatz Trajectory (181 steps to reach 1)

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

252,845 758,536 379,268 189,634 94,817 284,452 142,226 71,113 213,340 106,670 53,335 160,006 80,003 240,010 120,005 360,016 180,008 90,004 45,002 22,501 67,504 33,752 16,876 8,438 4,219 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638

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