6,021,314

2 × 13 × 231589

Starting at 6,021,314, the Collatz iteration reaches 1 after 258 steps. The first transition is 3010657; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 231589

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,726,780

Proper Divisor Sum 3,705,466

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #6021289 ← → #6021319

Radix Representation

Decimal	6021314
Binary	10110111110000011000010 (23 bits)
Octal	0o26760302
Hexadecimal	0x5BE0C2

Divisor Catalog (8)

1 2 13 26 231,589 463,178 3,010,657 6,021,314

Collatz Trajectory (258 steps to reach 1)

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

6,021,314 3,010,657 9,031,972 4,515,986 2,257,993 6,773,980 3,386,990 1,693,495 5,080,486 2,540,243 7,620,730 3,810,365 11,431,096 5,715,548 2,857,774 1,428,887 4,286,662 2,143,331 6,429,994 3,214,997 9,644,992 4,822,496 2,411,248 1,205,624 602,812 301,406 150,703 452,110 226,055 678,166 339,083 1,017,250 508,625 1,525,876 762,938 381,469 1,144,408 572,204 286,102 143,051 429,154 214,577 643,732 321,866 160,933 482,800 241,400 120,700 60,350 30,175 90,526 45,263 135,790 67,895 203,686 101,843 305,530 152,765 458,296 229,148

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