56,164

2² × 19 × 739

56,164 factors as 2^2 × 19 × 739. Its 12 positive divisors give a proper-divisor sum of 47,436, so this integer is deficient. The Collatz stopping time is 47 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 103,600

Proper Divisor Sum 47,436

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #56149 ← → #56167

Radix Representation

Decimal	56164
Binary	1101101101100100 (16 bits)
Octal	0o155544
Hexadecimal	0xDB64

Divisor Catalog (12)

1 2 4 19 38 76 739 1,478 2,956 14,041 28,082 56,164

Collatz Trajectory (47 steps to reach 1)

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

56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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