3,307,257

3³ × 347 × 353

Starting at 3,307,257, the Collatz iteration reaches 1 after 115 steps. The first transition is 9921772; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 347 × 353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,927,680

Proper Divisor Sum 1,620,423

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3307229 ← → #3307267

Radix Representation

Decimal	3307257
Binary	1100100111011011111001 (22 bits)
Octal	0o14473371
Hexadecimal	0x3276F9

Divisor Catalog (16)

1 3 9 27 347 353 1,041 1,059 3,123 3,177 9,369 9,531 122,491 367,473 1,102,419 3,307,257

Collatz Trajectory (115 steps to reach 1)

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

3,307,257 9,921,772 4,960,886 2,480,443 7,441,330 3,720,665 11,161,996 5,580,998 2,790,499 8,371,498 4,185,749 12,557,248 6,278,624 3,139,312 1,569,656 784,828 392,414 196,207 588,622 294,311 882,934 441,467 1,324,402 662,201 1,986,604 993,302 496,651 1,489,954 744,977 2,234,932 1,117,466 558,733 1,676,200 838,100 419,050 209,525 628,576 314,288 157,144 78,572 39,286 19,643 58,930 29,465 88,396 44,198 22,099 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872

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