3,307,446

2 × 3³ × 23 × 2663

3,307,446 has the prime decomposition 2 × 3^3 × 23 × 2663. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 23 × 2663

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,672,320

Proper Divisor Sum 4,364,874

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3307439 ← → #3307457

Radix Representation

Decimal	3307446
Binary	1100100111011110110110 (22 bits)
Octal	0o14473666
Hexadecimal	0x3277B6

Divisor Catalog (32)

1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1,242 2,663 5,326 7,989 15,978 23,967 47,934 61,249 71,901 122,498 143,802 183,747 367,494 551,241 1,102,482 1,653,723 3,307,446

Collatz Trajectory (239 steps to reach 1)

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

3,307,446 1,653,723 4,961,170 2,480,585 7,441,756 3,720,878 1,860,439 5,581,318 2,790,659 8,371,978 4,185,989 12,557,968 6,278,984 3,139,492 1,569,746 784,873 2,354,620 1,177,310 588,655 1,765,966 882,983 2,648,950 1,324,475 3,973,426 1,986,713 5,960,140 2,980,070 1,490,035 4,470,106 2,235,053 6,705,160 3,352,580 1,676,290 838,145 2,514,436 1,257,218 628,609 1,885,828 942,914 471,457 1,414,372 707,186 353,593 1,060,780 530,390 265,195 795,586 397,793 1,193,380 596,690 298,345 895,036 447,518 223,759 671,278 335,639 1,006,918 503,459 1,510,378 755,189

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