317,516

2² × 79379

Starting at 317,516, the Collatz iteration reaches 1 after 78 steps. The first transition is 158758; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 79379

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 555,660

Proper Divisor Sum 238,144

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #317503 ← → #317539

Radix Representation

Decimal	317516
Binary	1001101100001001100 (19 bits)
Octal	0o1154114
Hexadecimal	0x4D84C

Divisor Catalog (6)

1 2 4 79,379 158,758 317,516

Collatz Trajectory (78 steps to reach 1)

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

317,516 158,758 79,379 238,138 119,069 357,208 178,604 89,302 44,651 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56

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