26,456

2³ × 3307

26,456 is even and not a perfect square. Its factorization is 2^3 × 3307 and its 8 divisors sum to 49,620.

Prime Factor Structure

Factorization String 2^3 × 3307

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 49,620

Proper Divisor Sum 23,164

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #26449 ← → #26459

Radix Representation

Decimal	26456
Binary	110011101011000 (15 bits)
Octal	0o63530
Hexadecimal	0x6758

Divisor Catalog (8)

1 2 4 8 3,307 6,614 13,228 26,456

Collatz Trajectory (77 steps to reach 1)

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

26,456 13,228 6,614 3,307 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 76 38 19 58 29

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