Properties of the Number 45114

Forty-Five Thousand One Hundred Fourteen

Basics

Value: 45113 → 45114 → 45115

Parity: even

Prime: No

Previous Prime: 45083

Next Prime: 45119

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 73 × 103

Divisors: 1, 2, 3, 6, 73, 103, 146, 206, 219, 309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000000111010

Octal: 130072

Duodecimal: 22136

Hexadecimal: b03a

Square: 2035272996

Square Root: 212.40056497100002

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 (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001. A260248

Number of 4-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero with no three beads in a row equal. A209345

G.f.: A(x) = exp( ∑_n>=1 σ(n)*|A002129(n)|*xⁿ/n ). A162420

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 4 6 or 7. A252517

Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001. A260242

a(n) = Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; initial terms are 2,3,4. A49876

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), (-1, 0, 0), (0, -1, 1), (0, 0, 1), (1, 1, -1)}. A148465

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 4 6 or 7. A252523

Numbers whose base-4 representation contains exactly one 1 and no 3's. A45114