56,768

2⁶ × 887

56,768 has the prime decomposition 2^6 × 887. Its 2 distinct prime factors produce 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 887

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 112,776

Proper Divisor Sum 56,008

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #56767 ← → #56773

Radix Representation

Decimal	56768
Binary	1101110111000000 (16 bits)
Octal	0o156700
Hexadecimal	0xDDC0

Divisor Catalog (14)

1 2 4 8 16 32 64 887 1,774 3,548 7,096 14,192 28,384 56,768

Collatz Trajectory (60 steps to reach 1)

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

56,768 28,384 14,192 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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