λ
Sequence Observatory

128,404

22 × 47 × 683
Deficient Even Composite

Starting at 128,404, the Collatz iteration reaches 1 after 48 steps. The first transition is 64202; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 47 × 683
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 229,824
Proper Divisor Sum 101,420
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #128399 ← → #128411

Radix Representation

Decimal 128404
Binary 11111010110010100 (17 bits)
Octal 0o372624
Hexadecimal 0x1F594

Divisor Catalog (12)

1 2 4 47 94 188 683 1,366 2,732 32,101 64,202 128,404

Collatz Trajectory (48 steps to reach 1)

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

128,404 64,202 32,101 96,304 48,152 24,076 12,038 6,019 18,058 9,029 27,088 13,544 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

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