4,350,759

3 × 7² × 17 × 1741

Starting at 4,350,759, the Collatz iteration reaches 1 after 229 steps. The first transition is 13052278; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 1741

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,149,168

Proper Divisor Sum 2,798,409

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4350733 ← → #4350761

Radix Representation

Decimal	4350759
Binary	10000100110001100100111 (23 bits)
Octal	0o20461447
Hexadecimal	0x426327

Divisor Catalog (24)

1 3 7 17 21 49 51 119 147 357 833 1,741 2,499 5,223 12,187 29,597 36,561 85,309 88,791 207,179 255,927 621,537 1,450,253 4,350,759

Collatz Trajectory (229 steps to reach 1)

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

4,350,759 13,052,278 6,526,139 19,578,418 9,789,209 29,367,628 14,683,814 7,341,907 22,025,722 11,012,861 33,038,584 16,519,292 8,259,646 4,129,823 12,389,470 6,194,735 18,584,206 9,292,103 27,876,310 13,938,155 41,814,466 20,907,233 62,721,700 31,360,850 15,680,425 47,041,276 23,520,638 11,760,319 35,280,958 17,640,479 52,921,438 26,460,719 79,382,158 39,691,079 119,073,238 59,536,619 178,609,858 89,304,929 267,914,788 133,957,394 66,978,697 200,936,092 100,468,046 50,234,023 150,702,070 75,351,035 226,053,106 113,026,553 339,079,660 169,539,830 84,769,915 254,309,746 127,154,873 381,464,620 190,732,310 95,366,155 286,098,466 143,049,233 429,147,700 214,573,850

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