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Properties of the Number 26168

Twenty-Six Thousand One Hundred Sixty-Eight

Basics

Value: 26167 → 26168 → 26169

Parity: even

Prime: No

Previous Prime: 26161

Next Prime: 26171

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 3 × 3271

Divisors: 1, 2, 4, 8, 3271, 6542, 13084, 26168

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110011000111000

Octal: 63070

Duodecimal: 13188

Hexadecimal: 6638

Square: 684764224

Square Root: 161.76526203112954

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Coefficients of the generalized continued fraction expansion π = a(1) +a(1)/(a(2) +a(2)/(a(3) +a(3)/(a(4) +a(4)/....))). A233582
Number of partitions p of n such that 2*(number of even numbers in p) > (number of odd numbers in p). A241655
Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums. A258830
Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 8. A262170
Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 9. A262171
Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 10. A262172
Number of nX3 0..4 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A200985
Number of 3Xn 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303315
T(n,k)=Number of nXk 0..4 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A200990
Numbers k such that A026166(j) < A026166(k) for all j < k. A26168