23,148

2² × 3² × 643

Starting at 23,148, the Collatz iteration reaches 1 after 82 steps. The first transition is 11574; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 643

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 58,604

Proper Divisor Sum 35,456

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #23143 ← → #23159

Radix Representation

Decimal	23148
Binary	101101001101100 (15 bits)
Octal	0o55154
Hexadecimal	0x5A6C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 643 1,286 1,929 2,572 3,858 5,787 7,716 11,574 23,148

Collatz Trajectory (82 steps to reach 1)

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

23,148 11,574 5,787 17,362 8,681 26,044 13,022 6,511 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148

← Previous Integer #23,147 Browse Full Index Next Integer #23,149 →