341,588

2² × 13 × 6569

Starting at 341,588, the Collatz iteration reaches 1 after 60 steps. The first transition is 170794; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 6569

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 643,860

Proper Divisor Sum 302,272

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #341587 ← → #341597

Radix Representation

Decimal	341588
Binary	1010011011001010100 (19 bits)
Octal	0o1233124
Hexadecimal	0x53654

Divisor Catalog (12)

1 2 4 13 26 52 6,569 13,138 26,276 85,397 170,794 341,588

Collatz Trajectory (60 steps to reach 1)

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

341,588 170,794 85,397 256,192 128,096 64,048 32,024 16,012 8,006 4,003 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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