Properties of the Number 23421

Twenty-Three Thousand Four Hundred Twenty-One

Basics

Value: 23420 → 23421 → 23422

Parity: odd

Prime: No

Previous Prime: 23417

Next Prime: 23431

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 37 × 211

Divisors: 1, 3, 37, 111, 211, 633, 7807, 23421

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101101111101

Octal: 55575

Duodecimal: 11679

Hexadecimal: 5b7d

Square: 548543241

Square Root: 153.03921066184313

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

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k increasing even cycles (0<=k<=n). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1)<b(2)<b(3)<... . A cycle is said to be even if it has an even number of entries. For example, the permutation (18)(2347)(569) has 2 increasing even cycles. A186764

Number of permutations of {1,2,...,n} having no increasing even cycles. A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1)<b(2)<b(3)<... . A cycle is said to be even if it has an even number of entries. A186765

Numbers n such that Maple 9.5, Maple 10, Maple 11 and Maple 12 give the wrong answers for the number of partitions of n. A110375

Numbers m such that 20·m + 1, 80·m + 1, 100·m + 1, and 200·m + 1 are all primes. A372186

Convolution of odd numbers and primes. A23662

Number of (w,x,y,z) with all terms in {1,...,n} and |w-x| <= |x-y| + |y-z|. A212572

Numbers n such that the decimal equivalent of the binary reflected Gray code representation of n is a palindromic prime. A281382

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 737", based on the 5-celled von Neumann neighborhood. A273480

Numbers having four 5's in base 8. A43444

Generalized Catalan Numbers x²*A(x)² -(1-x+x²+x³+x⁴)*A(x) + 1 =0. A23421