λ
Sequence Observatory

129,834

2 × 32 × 7213
Abundant Even Composite

Starting at 129,834, the Collatz iteration reaches 1 after 118 steps. The first transition is 64917; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7213
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 281,346
Proper Divisor Sum 151,512
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #129803 ← → #129841

Radix Representation

Decimal 129834
Binary 11111101100101010 (17 bits)
Octal 0o375452
Hexadecimal 0x1FB2A

Divisor Catalog (12)

1 2 3 6 9 18 7,213 14,426 21,639 43,278 64,917 129,834

Collatz Trajectory (118 steps to reach 1)

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

129,834 64,917 194,752 97,376 48,688 24,344 12,172 6,086 3,043 9,130 4,565 13,696 6,848 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850

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