54,336

2⁶ × 3 × 283

For 54,336, the 28 positive divisors have a total of 144,272. Removing 54,336 leaves 89,936, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 3 × 283

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 144,272

Proper Divisor Sum 89,936

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #54331 ← → #54347

Radix Representation

Decimal	54336
Binary	1101010001000000 (16 bits)
Octal	0o152100
Hexadecimal	0xD440

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 283 566 849 1,132 1,698 2,264 3,396 4,528 6,792 9,056 13,584 18,112 27,168 54,336

Collatz Trajectory (65 steps to reach 1)

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

54,336 27,168 13,584 6,792 3,396 1,698 849 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 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 80 40 20 10

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