4,262,159

11 × 29 × 31 × 431

Starting at 4,262,159, the Collatz iteration reaches 1 after 97 steps. The first transition is 12786478; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 29 × 31 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,976,640

Proper Divisor Sum 714,481

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4262149 ← → #4262161

Radix Representation

Decimal	4262159
Binary	10000010000100100001111 (23 bits)
Octal	0o20204417
Hexadecimal	0x41090F

Divisor Catalog (16)

1 11 29 31 319 341 431 899 4,741 9,889 12,499 13,361 137,489 146,971 387,469 4,262,159

Collatz Trajectory (97 steps to reach 1)

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

4,262,159 12,786,478 6,393,239 19,179,718 9,589,859 28,769,578 14,384,789 43,154,368 21,577,184 10,788,592 5,394,296 2,697,148 1,348,574 674,287 2,022,862 1,011,431 3,034,294 1,517,147 4,551,442 2,275,721 6,827,164 3,413,582 1,706,791 5,120,374 2,560,187 7,680,562 3,840,281 11,520,844 5,760,422 2,880,211 8,640,634 4,320,317 12,960,952 6,480,476 3,240,238 1,620,119 4,860,358 2,430,179 7,290,538 3,645,269 10,935,808 5,467,904 2,733,952 1,366,976 683,488 341,744 170,872 85,436 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202

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