2,591,772

2² × 3 × 215981

Starting at 2,591,772, the Collatz iteration reaches 1 after 99 steps. The first transition is 1295886; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 215981

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,047,496

Proper Divisor Sum 3,455,724

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2591767 ← → #2591773

Radix Representation

Decimal	2591772
Binary	1001111000110000011100 (22 bits)
Octal	0o11706034
Hexadecimal	0x278C1C

Divisor Catalog (12)

1 2 3 4 6 12 215,981 431,962 647,943 863,924 1,295,886 2,591,772

Collatz Trajectory (99 steps to reach 1)

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

2,591,772 1,295,886 647,943 1,943,830 971,915 2,915,746 1,457,873 4,373,620 2,186,810 1,093,405 3,280,216 1,640,108 820,054 410,027 1,230,082 615,041 1,845,124 922,562 461,281 1,383,844 691,922 345,961 1,037,884 518,942 259,471 778,414 389,207 1,167,622 583,811 1,751,434 875,717 2,627,152 1,313,576 656,788 328,394 164,197 492,592 246,296 123,148 61,574 30,787 92,362 46,181 138,544 69,272 34,636 17,318 8,659 25,978 12,989 38,968 19,484 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442

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