14,928

2⁴ × 3 × 311

14,928 is even and not a perfect square. Its factorization is 2^4 × 3 × 311 and its 20 divisors sum to 38,688.

Prime Factor Structure

Factorization String 2^4 × 3 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 38,688

Proper Divisor Sum 23,760

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #14923 ← → #14929

Radix Representation

Decimal	14928
Binary	11101001010000 (14 bits)
Octal	0o35120
Hexadecimal	0x3A50

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 311 622 933 1,244 1,866 2,488 3,732 4,976 7,464 14,928

Collatz Trajectory (89 steps to reach 1)

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

14,928 7,464 3,732 1,866 933 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 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

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