317,500

2² × 5⁴ × 127

Starting at 317,500, the Collatz iteration reaches 1 after 78 steps. The first transition is 158750; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^4 × 127

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 699,776

Proper Divisor Sum 382,276

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #317491 ← → #317503

Radix Representation

Decimal	317500
Binary	1001101100000111100 (19 bits)
Octal	0o1154074
Hexadecimal	0x4D83C

Divisor Catalog (30)

1 2 4 5 10 20 25 50 100 125 127 250 254 500 508 625 635 1,250 1,270 2,500 2,540 3,175 6,350 12,700 15,875 31,750 63,500 79,375 158,750 317,500

Collatz Trajectory (78 steps to reach 1)

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

317,500 158,750 79,375 238,126 119,063 357,190 178,595 535,786 267,893 803,680 401,840 200,920 100,460 50,230 25,115 75,346 37,673 113,020 56,510 28,255 84,766 42,383 127,150 63,575 190,726 95,363 286,090 143,045 429,136 214,568 107,284 53,642 26,821 80,464 40,232 20,116 10,058 5,029 15,088 7,544 3,772 1,886 943 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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