λ
Sequence Observatory

2,446,578

2 × 33 × 45307
Abundant Even Composite

Starting at 2,446,578, the Collatz iteration reaches 1 after 236 steps. The first transition is 1223289; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 45307
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,436,960
Proper Divisor Sum 2,990,382
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2446567 ← → #2446583

Radix Representation

Decimal 2446578
Binary 1001010101010011110010 (22 bits)
Octal 0o11252362
Hexadecimal 0x2554F2

Divisor Catalog (16)

1 2 3 6 9 18 27 54 45,307 90,614 135,921 271,842 407,763 815,526 1,223,289 2,446,578

Collatz Trajectory (236 steps to reach 1)

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

2,446,578 1,223,289 3,669,868 1,834,934 917,467 2,752,402 1,376,201 4,128,604 2,064,302 1,032,151 3,096,454 1,548,227 4,644,682 2,322,341 6,967,024 3,483,512 1,741,756 870,878 435,439 1,306,318 653,159 1,959,478 979,739 2,939,218 1,469,609 4,408,828 2,204,414 1,102,207 3,306,622 1,653,311 4,959,934 2,479,967 7,439,902 3,719,951 11,159,854 5,579,927 16,739,782 8,369,891 25,109,674 12,554,837 37,664,512 18,832,256 9,416,128 4,708,064 2,354,032 1,177,016 588,508 294,254 147,127 441,382 220,691 662,074 331,037 993,112 496,556 248,278 124,139 372,418 186,209 558,628

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