3,958,437

3 × 7 × 233 × 809

Starting at 3,958,437, the Collatz iteration reaches 1 after 97 steps. The first transition is 11875312; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 233 × 809

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,065,280

Proper Divisor Sum 2,106,843

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3958397 ← → #3958439

Radix Representation

Decimal	3958437
Binary	1111000110011010100101 (22 bits)
Octal	0o17063245
Hexadecimal	0x3C66A5

Divisor Catalog (16)

1 3 7 21 233 699 809 1,631 2,427 4,893 5,663 16,989 188,497 565,491 1,319,479 3,958,437

Collatz Trajectory (97 steps to reach 1)

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

3,958,437 11,875,312 5,937,656 2,968,828 1,484,414 742,207 2,226,622 1,113,311 3,339,934 1,669,967 5,009,902 2,504,951 7,514,854 3,757,427 11,272,282 5,636,141 16,908,424 8,454,212 4,227,106 2,113,553 6,340,660 3,170,330 1,585,165 4,755,496 2,377,748 1,188,874 594,437 1,783,312 891,656 445,828 222,914 111,457 334,372 167,186 83,593 250,780 125,390 62,695 188,086 94,043 282,130 141,065 423,196 211,598 105,799 317,398 158,699 476,098 238,049 714,148 357,074 178,537 535,612 267,806 133,903 401,710 200,855 602,566 301,283 903,850

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