Properties of the Number 45046

Forty-Five Thousand Forty-Six

Basics

Value: 45045 → 45046 → 45047

Parity: even

Prime: No

Previous Prime: 45013

Next Prime: 45053

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 101 × 223

Divisors: 1, 2, 101, 202, 223, 446, 22523, 45046

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111111110110

Octal: 127766

Duodecimal: 2209A

Hexadecimal: aff6

Square: 2029142116

Square Root: 212.2404297017889

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

Binomial transform of [1, 11, 11, 11, ...]. A139635

T(n,k)=Number of (n+3)X(k+3) 0..1 arrays with each row divisible by 13 and column not divisible by 13, read as a binary number with top and left being the most significant bits. A263303

a(n) = n + (n-1)*(2ⁿ-2). A188716

E.g.f. satisfies A(x) = exp(x·A(x⁸/8!)). A143572

Nonsquare values of m in the discriminant D = 4·m leading to a new maximum of the L-function of the Dirichlet series L(1) = ∑_k>0 Kronecker(D,k)/k. A3421

Numbers n for which A222085(n)=A222085(n+1). A222088

Number of (n+3)X(2+3) 0..1 arrays with each row divisible by 13 and column not divisible by 13, read as a binary number with top and left being the most significant bits. A263300

Multiplicity of highest weight (or singular) vectors associated with character chi₁₂ of Monster module. A34400

Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 6. A233629

Number of (n+1) X (2+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2 X 2 subblock equal. A237061