225,621

3² × 11 × 43 × 53

Starting at 225,621, the Collatz iteration reaches 1 after 124 steps. The first transition is 676864; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 43 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 370,656

Proper Divisor Sum 145,035

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #225619 ← → #225629

Radix Representation

Decimal	225621
Binary	110111000101010101 (18 bits)
Octal	0o670525
Hexadecimal	0x37155

Divisor Catalog (24)

1 3 9 11 33 43 53 99 129 159 387 473 477 583 1,419 1,749 2,279 4,257 5,247 6,837 20,511 25,069 75,207 225,621

Collatz Trajectory (124 steps to reach 1)

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

225,621 676,864 338,432 169,216 84,608 42,304 21,152 10,576 5,288 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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