6,217,107

3 × 13 × 23 × 29 × 239

Starting at 6,217,107, the Collatz iteration reaches 1 after 134 steps. The first transition is 18651322; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 23 × 29 × 239

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,676,800

Proper Divisor Sum 3,459,693

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6217103 ← → #6217151

Radix Representation

Decimal	6217107
Binary	10111101101110110010011 (23 bits)
Octal	0o27556623
Hexadecimal	0x5EDD93

Divisor Catalog (32)

1 3 13 23 29 39 69 87 239 299 377 667 717 897 1,131 2,001 3,107 5,497 6,931 8,671 9,321 16,491 20,793 26,013 71,461 90,103 159,413 214,383 270,309 478,239 2,072,369 6,217,107

Collatz Trajectory (134 steps to reach 1)

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

6,217,107 18,651,322 9,325,661 27,976,984 13,988,492 6,994,246 3,497,123 10,491,370 5,245,685 15,737,056 7,868,528 3,934,264 1,967,132 983,566 491,783 1,475,350 737,675 2,213,026 1,106,513 3,319,540 1,659,770 829,885 2,489,656 1,244,828 622,414 311,207 933,622 466,811 1,400,434 700,217 2,100,652 1,050,326 525,163 1,575,490 787,745 2,363,236 1,181,618 590,809 1,772,428 886,214 443,107 1,329,322 664,661 1,993,984 996,992 498,496 249,248 124,624 62,312 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574

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