251,337

3 × 199 × 421

Starting at 251,337, the Collatz iteration reaches 1 after 88 steps. The first transition is 754012; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 199 × 421

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 337,600

Proper Divisor Sum 86,263

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #251323 ← → #251347

Radix Representation

Decimal	251337
Binary	111101010111001001 (18 bits)
Octal	0o752711
Hexadecimal	0x3D5C9

Divisor Catalog (8)

1 3 199 421 597 1,263 83,779 251,337

Collatz Trajectory (88 steps to reach 1)

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

251,337 754,012 377,006 188,503 565,510 282,755 848,266 424,133 1,272,400 636,200 318,100 159,050 79,525 238,576 119,288 59,644 29,822 14,911 44,734 22,367 67,102 33,551 100,654 50,327 150,982 75,491 226,474 113,237 339,712 169,856 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266

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