6,482,684

2² × 13 × 59 × 2113

Starting at 6,482,684, the Collatz iteration reaches 1 after 116 steps. The first transition is 3241342; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 59 × 2113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,430,320

Proper Divisor Sum 5,947,636

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6482669 ← → #6482699

Radix Representation

Decimal	6482684
Binary	11000101110101011111100 (23 bits)
Octal	0o30565374
Hexadecimal	0x62EAFC

Divisor Catalog (24)

1 2 4 13 26 52 59 118 236 767 1,534 2,113 3,068 4,226 8,452 27,469 54,938 109,876 124,667 249,334 498,668 1,620,671 3,241,342 6,482,684

Collatz Trajectory (116 steps to reach 1)

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

6,482,684 3,241,342 1,620,671 4,862,014 2,431,007 7,293,022 3,646,511 10,939,534 5,469,767 16,409,302 8,204,651 24,613,954 12,306,977 36,920,932 18,460,466 9,230,233 27,690,700 13,845,350 6,922,675 20,768,026 10,384,013 31,152,040 15,576,020 7,788,010 3,894,005 11,682,016 5,841,008 2,920,504 1,460,252 730,126 365,063 1,095,190 547,595 1,642,786 821,393 2,464,180 1,232,090 616,045 1,848,136 924,068 462,034 231,017 693,052 346,526 173,263 519,790 259,895 779,686 389,843 1,169,530 584,765 1,754,296 877,148 438,574 219,287 657,862 328,931 986,794 493,397 1,480,192

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