177,834

2 × 3 × 107 × 277

Starting at 177,834, the Collatz iteration reaches 1 after 134 steps. The first transition is 88917; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 107 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 360,288

Proper Divisor Sum 182,454

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #177823 ← → #177839

Radix Representation

Decimal	177834
Binary	101011011010101010 (18 bits)
Octal	0o533252
Hexadecimal	0x2B6AA

Divisor Catalog (16)

1 2 3 6 107 214 277 321 554 642 831 1,662 29,639 59,278 88,917 177,834

Collatz Trajectory (134 steps to reach 1)

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

177,834 88,917 266,752 133,376 66,688 33,344 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 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

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