2,258,541

3² × 250949

Starting at 2,258,541, the Collatz iteration reaches 1 after 117 steps. The first transition is 6775624; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 250949

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,262,350

Proper Divisor Sum 1,003,809

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2258539 ← → #2258561

Radix Representation

Decimal	2258541
Binary	1000100111011001101101 (22 bits)
Octal	0o10473155
Hexadecimal	0x22766D

Divisor Catalog (6)

1 3 9 250,949 752,847 2,258,541

Collatz Trajectory (117 steps to reach 1)

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

2,258,541 6,775,624 3,387,812 1,693,906 846,953 2,540,860 1,270,430 635,215 1,905,646 952,823 2,858,470 1,429,235 4,287,706 2,143,853 6,431,560 3,215,780 1,607,890 803,945 2,411,836 1,205,918 602,959 1,808,878 904,439 2,713,318 1,356,659 4,069,978 2,034,989 6,104,968 3,052,484 1,526,242 763,121 2,289,364 1,144,682 572,341 1,717,024 858,512 429,256 214,628 107,314 53,657 160,972 80,486 40,243 120,730 60,365 181,096 90,548 45,274 22,637 67,912 33,956 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327

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