6,135,816

2³ × 3 × 255659

Starting at 6,135,816, the Collatz iteration reaches 1 after 103 steps. The first transition is 3067908; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 255659

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,339,600

Proper Divisor Sum 9,203,784

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6135797 ← → #6135839

Radix Representation

Decimal	6135816
Binary	10111011010000000001000 (23 bits)
Octal	0o27320010
Hexadecimal	0x5DA008

Divisor Catalog (16)

1 2 3 4 6 8 12 24 255,659 511,318 766,977 1,022,636 1,533,954 2,045,272 3,067,908 6,135,816

Collatz Trajectory (103 steps to reach 1)

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

6,135,816 3,067,908 1,533,954 766,977 2,300,932 1,150,466 575,233 1,725,700 862,850 431,425 1,294,276 647,138 323,569 970,708 485,354 242,677 728,032 364,016 182,008 91,004 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082

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