24,128

2⁶ × 13 × 29

24,128 factors as 2^6 × 13 × 29. Its 28 positive divisors give a proper-divisor sum of 29,212, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 53,340

Proper Divisor Sum 29,212

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #24121 ← → #24133

Radix Representation

Decimal	24128
Binary	101111001000000 (15 bits)
Octal	0o57100
Hexadecimal	0x5E40

Divisor Catalog (28)

1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 1,508 1,856 3,016 6,032 12,064 24,128

Collatz Trajectory (69 steps to reach 1)

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

24,128 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160

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