317,429

7 × 137 × 331

Starting at 317,429, the Collatz iteration reaches 1 after 153 steps. The first transition is 952288; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 137 × 331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 366,528

Proper Divisor Sum 49,099

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #317419 ← → #317431

Radix Representation

Decimal	317429
Binary	1001101011111110101 (19 bits)
Octal	0o1153765
Hexadecimal	0x4D7F5

Divisor Catalog (8)

1 7 137 331 959 2,317 45,347 317,429

Collatz Trajectory (153 steps to reach 1)

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

317,429 952,288 476,144 238,072 119,036 59,518 29,759 89,278 44,639 133,918 66,959 200,878 100,439 301,318 150,659 451,978 225,989 677,968 338,984 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015

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