2,291,427

3² × 31 × 43 × 191

Starting at 2,291,427, the Collatz iteration reaches 1 after 104 steps. The first transition is 6874282; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 31 × 43 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,514,368

Proper Divisor Sum 1,222,941

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2291417 ← → #2291437

Radix Representation

Decimal	2291427
Binary	1000101111011011100011 (22 bits)
Octal	0o10573343
Hexadecimal	0x22F6E3

Divisor Catalog (24)

1 3 9 31 43 93 129 191 279 387 573 1,333 1,719 3,999 5,921 8,213 11,997 17,763 24,639 53,289 73,917 254,603 763,809 2,291,427

Collatz Trajectory (104 steps to reach 1)

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

2,291,427 6,874,282 3,437,141 10,311,424 5,155,712 2,577,856 1,288,928 644,464 322,232 161,116 80,558 40,279 120,838 60,419 181,258 90,629 271,888 135,944 67,972 33,986 16,993 50,980 25,490 12,745 38,236 19,118 9,559 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429

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