56,328

2³ × 3 × 2347

56,328 has the prime decomposition 2^3 × 3 × 2347. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 2347

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 140,880

Proper Divisor Sum 84,552

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #56311 ← → #56333

Radix Representation

Decimal	56328
Binary	1101110000001000 (16 bits)
Octal	0o156010
Hexadecimal	0xDC08

Divisor Catalog (16)

1 2 3 4 6 8 12 24 2,347 4,694 7,041 9,388 14,082 18,776 28,164 56,328

Collatz Trajectory (60 steps to reach 1)

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

56,328 28,164 14,082 7,041 21,124 10,562 5,281 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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