λ
Sequence Observatory

9,865,518

2 × 3 × 13 × 126481
Abundant Even Composite

Starting at 9,865,518, the Collatz iteration reaches 1 after 114 steps. The first transition is 4932759; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 126481
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 21,248,976
Proper Divisor Sum 11,383,458
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9865517 ← → #9865519

Radix Representation

Decimal 9865518
Binary 100101101000100100101110 (24 bits)
Octal 0o45504456
Hexadecimal 0x96892E

Divisor Catalog (16)

1 2 3 6 13 26 39 78 126,481 252,962 379,443 758,886 1,644,253 3,288,506 4,932,759 9,865,518

Collatz Trajectory (114 steps to reach 1)

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

9,865,518 4,932,759 14,798,278 7,399,139 22,197,418 11,098,709 33,296,128 16,648,064 8,324,032 4,162,016 2,081,008 1,040,504 520,252 260,126 130,063 390,190 195,095 585,286 292,643 877,930 438,965 1,316,896 658,448 329,224 164,612 82,306 41,153 123,460 61,730 30,865 92,596 46,298 23,149 69,448 34,724 17,362 8,681 26,044 13,022 6,511 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739

More profiles

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