Properties of the Number 45126

Forty-Five Thousand One Hundred Twenty-Six

Basics

Value: 45125 → 45126 → 45127

Parity: even

Prime: No

Previous Prime: 45121

Next Prime: 45127

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 23 × 109

Divisors: 1, 2, 3, 6, 9, 18, 23, 46, 69, 109

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000001000110

Octal: 130106

Duodecimal: 22146

Hexadecimal: b046

Square: 2036355876

Square Root: 212.42881160520577

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+1)X(k+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one. A231710

The discriminant of the characteristic polynomial of the O+ and O- submatrix for spin 3 of the nuclear electric quadrupole Hamiltonian is a perfect square for these values. A136331

Number of (n+1)X(2+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one. A231704

Number of (n+1)X(6+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical and antidiagonal neighbors equal to one. A231708

Number of 3Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240155

The discriminant of the characteristic polynomial of the O+ and O- submatrix for spin 3 of the nuclear electric quadrupole Hamiltonian is a perfect square for these values. A138976

Numbers whose base-4 representation contains exactly three 1's and two 3's. A45126