23,823

3² × 2647

23,823 factors as 3^2 × 2647. Its 6 positive divisors give a proper-divisor sum of 10,601, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 3^2 × 2647

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 34,424

Proper Divisor Sum 10,601

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #23819 ← → #23827

Radix Representation

Decimal	23823
Binary	101110100001111 (15 bits)
Octal	0o56417
Hexadecimal	0x5D0F

Divisor Catalog (6)

1 3 9 2,647 7,941 23,823

Collatz Trajectory (126 steps to reach 1)

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

23,823 71,470 35,735 107,206 53,603 160,810 80,405 241,216 120,608 60,304 30,152 15,076 7,538 3,769 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453

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