426,305

5 × 11 × 23 × 337

Starting at 426,305, the Collatz iteration reaches 1 after 174 steps. The first transition is 1278916; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 23 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 584,064

Proper Divisor Sum 157,759

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #426301 ← → #426311

Radix Representation

Decimal	426305
Binary	1101000000101000001 (19 bits)
Octal	0o1500501
Hexadecimal	0x68141

Divisor Catalog (16)

1 5 11 23 55 115 253 337 1,265 1,685 3,707 7,751 18,535 38,755 85,261 426,305

Collatz Trajectory (174 steps to reach 1)

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

426,305 1,278,916 639,458 319,729 959,188 479,594 239,797 719,392 359,696 179,848 89,924 44,962 22,481 67,444 33,722 16,861 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 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 4,819 14,458 7,229 21,688 10,844 5,422 2,711

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