λ
Sequence Observatory

6,134,622

2 × 3 × 13 × 78649
Abundant Even Composite

Starting at 6,134,622, the Collatz iteration reaches 1 after 302 steps. The first transition is 3067311; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 78649
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,213,200
Proper Divisor Sum 7,078,578
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6134617 ← → #6134641

Radix Representation

Decimal 6134622
Binary 10111011001101101011110 (23 bits)
Octal 0o27315536
Hexadecimal 0x5D9B5E

Divisor Catalog (16)

1 2 3 6 13 26 39 78 78,649 157,298 235,947 471,894 1,022,437 2,044,874 3,067,311 6,134,622

Collatz Trajectory (302 steps to reach 1)

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

6,134,622 3,067,311 9,201,934 4,600,967 13,802,902 6,901,451 20,704,354 10,352,177 31,056,532 15,528,266 7,764,133 23,292,400 11,646,200 5,823,100 2,911,550 1,455,775 4,367,326 2,183,663 6,550,990 3,275,495 9,826,486 4,913,243 14,739,730 7,369,865 22,109,596 11,054,798 5,527,399 16,582,198 8,291,099 24,873,298 12,436,649 37,309,948 18,654,974 9,327,487 27,982,462 13,991,231 41,973,694 20,986,847 62,960,542 31,480,271 94,440,814 47,220,407 141,661,222 70,830,611 212,491,834 106,245,917 318,737,752 159,368,876 79,684,438 39,842,219 119,526,658 59,763,329 179,289,988 89,644,994 44,822,497 134,467,492 67,233,746 33,616,873 100,850,620 50,425,310

More profiles

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