23,516

2² × 5879

23,516 is even and not a perfect square. Its factorization is 2^2 × 5879 and its 6 divisors sum to 41,160.

Prime Factor Structure

Factorization String 2^2 × 5879

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 41,160

Proper Divisor Sum 17,644

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #23509 ← → #23531

Radix Representation

Decimal	23516
Binary	101101111011100 (15 bits)
Octal	0o55734
Hexadecimal	0x5BDC

Divisor Catalog (6)

1 2 4 5,879 11,758 23,516

Collatz Trajectory (82 steps to reach 1)

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

23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152

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