2,556,606

2 × 3 × 13 × 73 × 449

Starting at 2,556,606, the Collatz iteration reaches 1 after 112 steps. The first transition is 1278303; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 73 × 449

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,594,400

Proper Divisor Sum 3,037,794

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2556577 ← → #2556607

Radix Representation

Decimal	2556606
Binary	1001110000001010111110 (22 bits)
Octal	0o11601276
Hexadecimal	0x2702BE

Divisor Catalog (32)

1 2 3 6 13 26 39 73 78 146 219 438 449 898 949 1,347 1,898 2,694 2,847 5,694 5,837 11,674 17,511 32,777 35,022 65,554 98,331 196,662 426,101 852,202 1,278,303 2,556,606

Collatz Trajectory (112 steps to reach 1)

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

2,556,606 1,278,303 3,834,910 1,917,455 5,752,366 2,876,183 8,628,550 4,314,275 12,942,826 6,471,413 19,414,240 9,707,120 4,853,560 2,426,780 1,213,390 606,695 1,820,086 910,043 2,730,130 1,365,065 4,095,196 2,047,598 1,023,799 3,071,398 1,535,699 4,607,098 2,303,549 6,910,648 3,455,324 1,727,662 863,831 2,591,494 1,295,747 3,887,242 1,943,621 5,830,864 2,915,432 1,457,716 728,858 364,429 1,093,288 546,644 273,322 136,661 409,984 204,992 102,496 51,248 25,624 12,812 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704

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