Properties of the Number 45713

Forty-Five Thousand Seven Hundred Thirteen

Basics

Value: 45712 → 45713 → 45714

Parity: odd

Prime: No

Previous Prime: 45707

Next Prime: 45737

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 17 × 2689

Divisors: 1, 17, 2689, 45713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001010010001

Octal: 131221

Duodecimal: 22555

Hexadecimal: b291

Square: 2089678369

Square Root: 213.80598681982693

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

Number of Dyck n-paths with ascents and descents of length equal to 1 (mod 4). A23427

Structured pentagonal icositetrahedral numbers (vertex structure 13). A100167

a(n) = the number of ways that at least two distinct primes <= prime(n) sum to a prime. A262765

Quotient of the decimal representation of concatenated twin primes divided by 3. A129908

G.f. satisfies: A(x) = (1 + x·A(x)) * (1 + x⁴*A(x)). A216116

The growth series for the affine Weyl group F₄. A266784

Primes with first digit 7. A45713

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258554

Number of n X 3 0..3 arrays with rows and antidiagonals unimodal and columns nondecreasing. A223859

The least k such that the decimal expansion of 3^k contains 9 consecutive n's. A215783