6,167,805

3 × 5 × 7 × 58741

Starting at 6,167,805, the Collatz iteration reaches 1 after 139 steps. The first transition is 18503416; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 58741

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,278,464

Proper Divisor Sum 5,110,659

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6167783 ← → #6167809

Radix Representation

Decimal	6167805
Binary	10111100001110011111101 (23 bits)
Octal	0o27416375
Hexadecimal	0x5E1CFD

Divisor Catalog (16)

1 3 5 7 15 21 35 105 58,741 176,223 293,705 411,187 881,115 1,233,561 2,055,935 6,167,805

Collatz Trajectory (139 steps to reach 1)

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

6,167,805 18,503,416 9,251,708 4,625,854 2,312,927 6,938,782 3,469,391 10,408,174 5,204,087 15,612,262 7,806,131 23,418,394 11,709,197 35,127,592 17,563,796 8,781,898 4,390,949 13,172,848 6,586,424 3,293,212 1,646,606 823,303 2,469,910 1,234,955 3,704,866 1,852,433 5,557,300 2,778,650 1,389,325 4,167,976 2,083,988 1,041,994 520,997 1,562,992 781,496 390,748 195,374 97,687 293,062 146,531 439,594 219,797 659,392 329,696 164,848 82,424 41,212 20,606 10,303 30,910 15,455 46,366 23,183 69,550 34,775 104,326 52,163 156,490 78,245 234,736

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