10,674

2 × 3² × 593

Starting at 10,674, the Collatz iteration reaches 1 after 55 steps. The first transition is 5337; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 593

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,166

Proper Divisor Sum 12,492

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #10667 ← → #10687

Radix Representation

Decimal	10674
Binary	10100110110010 (14 bits)
Octal	0o24662
Hexadecimal	0x29B2

Divisor Catalog (12)

1 2 3 6 9 18 593 1,186 1,779 3,558 5,337 10,674

Collatz Trajectory (55 steps to reach 1)

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

10,674 5,337 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 1

← Previous Integer #10,673 Browse Full Index Next Integer #10,675 →