9,040,329

3⁶ × 12401

9,040,329 factors as 3^6 × 12401. Its 14 positive divisors give a proper-divisor sum of 4,515,057, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 3^6 × 12401

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 13,555,386

Proper Divisor Sum 4,515,057

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9040307 ← → #9040331

Radix Representation

Decimal	9040329
Binary	100010011111000111001001 (24 bits)
Octal	0o42370711
Hexadecimal	0x89F1C9

Divisor Catalog (14)

1 3 9 27 81 243 729 12,401 37,203 111,609 334,827 1,004,481 3,013,443 9,040,329

Collatz Trajectory (256 steps to reach 1)

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

9,040,329 27,120,988 13,560,494 6,780,247 20,340,742 10,170,371 30,511,114 15,255,557 45,766,672 22,883,336 11,441,668 5,720,834 2,860,417 8,581,252 4,290,626 2,145,313 6,435,940 3,217,970 1,608,985 4,826,956 2,413,478 1,206,739 3,620,218 1,810,109 5,430,328 2,715,164 1,357,582 678,791 2,036,374 1,018,187 3,054,562 1,527,281 4,581,844 2,290,922 1,145,461 3,436,384 1,718,192 859,096 429,548 214,774 107,387 322,162 161,081 483,244 241,622 120,811 362,434 181,217 543,652 271,826 135,913 407,740 203,870 101,935 305,806 152,903 458,710 229,355 688,066 344,033

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