56,664

2³ × 3² × 787

56,664 factors as 2^3 × 3^2 × 787. Its 24 positive divisors give a proper-divisor sum of 96,996, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 787

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 153,660

Proper Divisor Sum 96,996

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #56663 ← → #56671

Radix Representation

Decimal	56664
Binary	1101110101011000 (16 bits)
Octal	0o156530
Hexadecimal	0xDD58

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 787 1,574 2,361 3,148 4,722 6,296 7,083 9,444 14,166 18,888 28,332 56,664

Collatz Trajectory (60 steps to reach 1)

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

56,664 28,332 14,166 7,083 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 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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