3,353,009

11 × 23 × 29 × 457

3,353,009 factors as 11 × 23 × 29 × 457. Its 16 positive divisors give a proper-divisor sum of 604,111, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 11 × 23 × 29 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,957,120

Proper Divisor Sum 604,111

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3353003 ← → #3353023

Radix Representation

Decimal	3353009
Binary	1100110010100110110001 (22 bits)
Octal	0o14624661
Hexadecimal	0x3329B1

Divisor Catalog (16)

1 11 23 29 253 319 457 667 5,027 7,337 10,511 13,253 115,621 145,783 304,819 3,353,009

Collatz Trajectory (133 steps to reach 1)

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

3,353,009 10,059,028 5,029,514 2,514,757 7,544,272 3,772,136 1,886,068 943,034 471,517 1,414,552 707,276 353,638 176,819 530,458 265,229 795,688 397,844 198,922 99,461 298,384 149,192 74,596 37,298 18,649 55,948 27,974 13,987 41,962 20,981 62,944 31,472 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593

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