λ
Sequence Observatory

2,612,226

2 × 3 × 435371
Abundant Even Composite

Starting at 2,612,226, the Collatz iteration reaches 1 after 125 steps. The first transition is 1306113; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 435371
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,224,464
Proper Divisor Sum 2,612,238
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2612209 ← → #2612243

Radix Representation

Decimal 2612226
Binary 1001111101110000000010 (22 bits)
Octal 0o11756002
Hexadecimal 0x27DC02

Divisor Catalog (8)

1 2 3 6 435,371 870,742 1,306,113 2,612,226

Collatz Trajectory (125 steps to reach 1)

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

2,612,226 1,306,113 3,918,340 1,959,170 979,585 2,938,756 1,469,378 734,689 2,204,068 1,102,034 551,017 1,653,052 826,526 413,263 1,239,790 619,895 1,859,686 929,843 2,789,530 1,394,765 4,184,296 2,092,148 1,046,074 523,037 1,569,112 784,556 392,278 196,139 588,418 294,209 882,628 441,314 220,657 661,972 330,986 165,493 496,480 248,240 124,120 62,060 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418

More profiles

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