5,731,765

5 × 13 × 109 × 809

Starting at 5,731,765, the Collatz iteration reaches 1 after 126 steps. The first transition is 17195296; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 109 × 809

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,484,400

Proper Divisor Sum 1,752,635

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5731757 ← → #5731777

Radix Representation

Decimal	5731765
Binary	10101110111010110110101 (23 bits)
Octal	0o25672665
Hexadecimal	0x5775B5

Divisor Catalog (16)

1 5 13 65 109 545 809 1,417 4,045 7,085 10,517 52,585 88,181 440,905 1,146,353 5,731,765

Collatz Trajectory (126 steps to reach 1)

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

5,731,765 17,195,296 8,597,648 4,298,824 2,149,412 1,074,706 537,353 1,612,060 806,030 403,015 1,209,046 604,523 1,813,570 906,785 2,720,356 1,360,178 680,089 2,040,268 1,020,134 510,067 1,530,202 765,101 2,295,304 1,147,652 573,826 286,913 860,740 430,370 215,185 645,556 322,778 161,389 484,168 242,084 121,042 60,521 181,564 90,782 45,391 136,174 68,087 204,262 102,131 306,394 153,197 459,592 229,796 114,898 57,449 172,348 86,174 43,087 129,262 64,631 193,894 96,947 290,842 145,421 436,264 218,132

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