Properties of the Number 21259

Twenty-One Thousand Two Hundred Fifty-Nine

Basics

Value: 21258 → 21259 → 21260

Parity: odd

Prime: No

Previous Prime: 21247

Next Prime: 21269

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 3037

Divisors: 1, 7, 3037, 21259

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001100001011

Octal: 51413

Duodecimal: 10377

Hexadecimal: 530b

Square: 451945081

Square Root: 145.8046638485889

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

T(n,k)=Number of nXk binary arrays with each 1 adjacent to exactly two other 1s. A183328

a(n) = (1/3ⁿ) * ∑_k=0..n³ ( (binomial(n³, k) * 2^k) (mod 3ⁿ) ). A376536

Consecutive states of the linear congruential pseudo-random number generator (25173·s+13849) mod 2¹⁶ when started at s=1. A383940

Expansion of ∏_m>=1 (1+q^m)^-28. A22623

a(n) = a(n-1) + a(n-2) + n + 3 with n>1, a(0)=1, a(1)=2. A210729

Number of n X 6 binary arrays with each 1 adjacent to exactly two other 1's. A183327

Triangle T(n, k) = ∑_i=1..n Stirling2(n,i) * abs(Stirling1(i-1,k-1)), n >= 1, 1 <= k <= n. A320280

Numbers k such that all of k, k+1 and k+2 are the sums of consecutive squares. A368590

The number of permutations p of {1,...,n} such that |p(i)-p(i+1)| is in {1,2,3,4} for all i from 1 to n-1. A174701

Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254261