82,346

2 × 11 × 19 × 197

Starting at 82,346, the Collatz iteration reaches 1 after 32 steps. The first transition is 41173; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 19 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 142,560

Proper Divisor Sum 60,214

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #82339 ← → #82349

Radix Representation

Decimal	82346
Binary	10100000110101010 (17 bits)
Octal	0o240652
Hexadecimal	0x141AA

Divisor Catalog (16)

1 2 11 19 22 38 197 209 394 418 2,167 3,743 4,334 7,486 41,173 82,346

Collatz Trajectory (32 steps to reach 1)

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

82,346 41,173 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

← Previous Integer #82,345 Browse Full Index Next Integer #82,347 →