2,277,325

5² × 71 × 1283

Starting at 2,277,325, the Collatz iteration reaches 1 after 130 steps. The first transition is 6831976; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 71 × 1283

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,865,888

Proper Divisor Sum 588,563

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2277311 ← → #2277329

Radix Representation

Decimal	2277325
Binary	1000101011111111001101 (22 bits)
Octal	0o10537715
Hexadecimal	0x22BFCD

Divisor Catalog (12)

1 5 25 71 355 1,283 1,775 6,415 32,075 91,093 455,465 2,277,325

Collatz Trajectory (130 steps to reach 1)

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

2,277,325 6,831,976 3,415,988 1,707,994 853,997 2,561,992 1,280,996 640,498 320,249 960,748 480,374 240,187 720,562 360,281 1,080,844 540,422 270,211 810,634 405,317 1,215,952 607,976 303,988 151,994 75,997 227,992 113,996 56,998 28,499 85,498 42,749 128,248 64,124 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672

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