2,277,981

3² × 253109

Starting at 2,277,981, the Collatz iteration reaches 1 after 42 steps. The first transition is 6833944; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 253109

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,290,430

Proper Divisor Sum 1,012,449

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2277941 ← → #2278007

Radix Representation

Decimal	2277981
Binary	1000101100001001011101 (22 bits)
Octal	0o10541135
Hexadecimal	0x22C25D

Divisor Catalog (6)

1 3 9 253,109 759,327 2,277,981

Collatz Trajectory (42 steps to reach 1)

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

2,277,981 6,833,944 3,416,972 1,708,486 854,243 2,562,730 1,281,365 3,844,096 1,922,048 961,024 480,512 240,256 120,128 60,064 30,032 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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