134,439

3 × 41 × 1093

Starting at 134,439, the Collatz iteration reaches 1 after 206 steps. The first transition is 403318; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 41 × 1093

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 183,792

Proper Divisor Sum 49,353

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #134437 ← → #134443

Radix Representation

Decimal	134439
Binary	100000110100100111 (18 bits)
Octal	0o406447
Hexadecimal	0x20D27

Divisor Catalog (8)

1 3 41 123 1,093 3,279 44,813 134,439

Collatz Trajectory (206 steps to reach 1)

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

134,439 403,318 201,659 604,978 302,489 907,468 453,734 226,867 680,602 340,301 1,020,904 510,452 255,226 127,613 382,840 191,420 95,710 47,855 143,566 71,783 215,350 107,675 323,026 161,513 484,540 242,270 121,135 363,406 181,703 545,110 272,555 817,666 408,833 1,226,500 613,250 306,625 919,876 459,938 229,969 689,908 344,954 172,477 517,432 258,716 129,358 64,679 194,038 97,019 291,058 145,529 436,588 218,294 109,147 327,442 163,721 491,164 245,582 122,791 368,374 184,187

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