9,053,406

2 × 3² × 241 × 2087

Starting at 9,053,406, the Collatz iteration reaches 1 after 132 steps. The first transition is 4526703; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 241 × 2087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,706,544

Proper Divisor Sum 10,653,138

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9053381 ← → #9053411

Radix Representation

Decimal	9053406
Binary	100010100010010011011110 (24 bits)
Octal	0o42422336
Hexadecimal	0x8A24DE

Divisor Catalog (24)

1 2 3 6 9 18 241 482 723 1,446 2,087 2,169 4,174 4,338 6,261 12,522 18,783 37,566 502,967 1,005,934 1,508,901 3,017,802 4,526,703 9,053,406

Collatz Trajectory (132 steps to reach 1)

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

9,053,406 4,526,703 13,580,110 6,790,055 20,370,166 10,185,083 30,555,250 15,277,625 45,832,876 22,916,438 11,458,219 34,374,658 17,187,329 51,561,988 25,780,994 12,890,497 38,671,492 19,335,746 9,667,873 29,003,620 14,501,810 7,250,905 21,752,716 10,876,358 5,438,179 16,314,538 8,157,269 24,471,808 12,235,904 6,117,952 3,058,976 1,529,488 764,744 382,372 191,186 95,593 286,780 143,390 71,695 215,086 107,543 322,630 161,315 483,946 241,973 725,920 362,960 181,480 90,740 45,370 22,685 68,056 34,028 17,014 8,507 25,522 12,761 38,284 19,142 9,571

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