31,824

2⁴ × 3² × 13 × 17

The decimal integer 31,824 is 111110001010000 in binary (15 bits), 76120 in octal and 7C50 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 101,556

Proper Divisor Sum 69,732

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #31817 ← → #31847

Radix Representation

Decimal	31824
Binary	111110001010000 (15 bits)
Octal	0o76120
Hexadecimal	0x7C50

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1,224 1,326 1,768 1,872 1,989 2,448 2,652 3,536 3,978 5,304 7,956 10,608 15,912 31,824

Collatz Trajectory (28 steps to reach 1)

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

31,824 15,912 7,956 3,978 1,989 5,968 2,984 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

← Previous Integer #31,823 Browse Full Index Next Integer #31,825 →