24,375

3 × 5⁴ × 13

For 24,375, the 20 positive divisors have a total of 43,736. Removing 24,375 leaves 19,361, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^4 × 13

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 43,736

Proper Divisor Sum 19,361

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #24373 ← → #24379

Radix Representation

Decimal	24375
Binary	101111100110111 (15 bits)
Octal	0o57467
Hexadecimal	0x5F37

Divisor Catalog (20)

1 3 5 13 15 25 39 65 75 125 195 325 375 625 975 1,625 1,875 4,875 8,125 24,375

Collatz Trajectory (95 steps to reach 1)

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

24,375 73,126 36,563 109,690 54,845 164,536 82,268 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 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

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