2,558,946

2 × 3 × 13 × 53 × 619

Starting at 2,558,946, the Collatz iteration reaches 1 after 81 steps. The first transition is 1279473; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 53 × 619

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,624,640

Proper Divisor Sum 3,065,694

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2558929 ← → #2558951

Radix Representation

Decimal	2558946
Binary	1001110000101111100010 (22 bits)
Octal	0o11605742
Hexadecimal	0x270BE2

Divisor Catalog (32)

1 2 3 6 13 26 39 53 78 106 159 318 619 689 1,238 1,378 1,857 2,067 3,714 4,134 8,047 16,094 24,141 32,807 48,282 65,614 98,421 196,842 426,491 852,982 1,279,473 2,558,946

Collatz Trajectory (81 steps to reach 1)

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

2,558,946 1,279,473 3,838,420 1,919,210 959,605 2,878,816 1,439,408 719,704 359,852 179,926 89,963 269,890 134,945 404,836 202,418 101,209 303,628 151,814 75,907 227,722 113,861 341,584 170,792 85,396 42,698 21,349 64,048 32,024 16,012 8,006 4,003 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76

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