Properties of the Number 21417

Twenty-One Thousand Four Hundred Seventeen

Basics

Value: 21416 → 21417 → 21418

Parity: odd

Prime: No

Previous Prime: 21407

Next Prime: 21419

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 ² × 59

Divisors: 1, 3, 11, 33, 59, 121, 177, 363, 649, 1947

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001110101001

Octal: 51651

Duodecimal: 10489

Hexadecimal: 53a9

Square: 458687889

Square Root: 146.34548165215077

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

Numbers k with property that average digit of k² is s=7. A164773

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252192

Number of (n+2) X (4+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0, 1, 3, 6, or 7. A252188

Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252190

If p(x) is the x-th prime, then the n-th set of 4 consecutive sexy prime pairs starts at p(a(n)). A95963

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (1, 0, -1), (1, 1, -1), (1, 1, 1)}. A149642

Triangle T(n,m) = coefficient of xⁿ in expansion of (1/2-1/2*(1-8·x)¹/4)^m = sum(n>=m, T(n,m) xⁿ), n>=1, m>=1. A202039

Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 1 and no column sum 1. A255144

Number of nX4 0..1 arrays with every element equal to 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A298135

Decimal expansion of 1/413. A21417