9,120,429

3² × 43 × 23567

Starting at 9,120,429, the Collatz iteration reaches 1 after 225 steps. The first transition is 27361288; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 43 × 23567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,480,896

Proper Divisor Sum 4,360,467

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9120427 ← → #9120473

Radix Representation

Decimal	9120429
Binary	100010110010101010101101 (24 bits)
Octal	0o42625255
Hexadecimal	0x8B2AAD

Divisor Catalog (12)

1 3 9 43 129 387 23,567 70,701 212,103 1,013,381 3,040,143 9,120,429

Collatz Trajectory (225 steps to reach 1)

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

9,120,429 27,361,288 13,680,644 6,840,322 3,420,161 10,260,484 5,130,242 2,565,121 7,695,364 3,847,682 1,923,841 5,771,524 2,885,762 1,442,881 4,328,644 2,164,322 1,082,161 3,246,484 1,623,242 811,621 2,434,864 1,217,432 608,716 304,358 152,179 456,538 228,269 684,808 342,404 171,202 85,601 256,804 128,402 64,201 192,604 96,302 48,151 144,454 72,227 216,682 108,341 325,024 162,512 81,256 40,628 20,314 10,157 30,472 15,236 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646

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