8,906,409

3³ × 329867

8,906,409 factors as 3^3 × 329867. Its 8 positive divisors give a proper-divisor sum of 4,288,311, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3^3 × 329867

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,194,720

Proper Divisor Sum 4,288,311

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8906407 ← → #8906411

Radix Representation

Decimal	8906409
Binary	100001111110011010101001 (24 bits)
Octal	0o41763251
Hexadecimal	0x87E6A9

Divisor Catalog (8)

1 3 9 27 329,867 989,601 2,968,803 8,906,409

Collatz Trajectory (142 steps to reach 1)

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

8,906,409 26,719,228 13,359,614 6,679,807 20,039,422 10,019,711 30,059,134 15,029,567 45,088,702 22,544,351 67,633,054 33,816,527 101,449,582 50,724,791 152,174,374 76,087,187 228,261,562 114,130,781 342,392,344 171,196,172 85,598,086 42,799,043 128,397,130 64,198,565 192,595,696 96,297,848 48,148,924 24,074,462 12,037,231 36,111,694 18,055,847 54,167,542 27,083,771 81,251,314 40,625,657 121,876,972 60,938,486 30,469,243 91,407,730 45,703,865 137,111,596 68,555,798 34,277,899 102,833,698 51,416,849 154,250,548 77,125,274 38,562,637 115,687,912 57,843,956 28,921,978 14,460,989 43,382,968 21,691,484 10,845,742 5,422,871 16,268,614 8,134,307 24,402,922 12,201,461

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