Properties of the Number 40964

Forty Thousand Nine Hundred Sixty-Four

Basics

Value: 40963 → 40964 → 40965

Parity: even

Prime: No

Previous Prime: 40961

Next Prime: 40973

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 ² × 11 × 19

Divisors: 1, 2, 4, 7, 11, 14, 19, 22, 28, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000000000100

Octal: 120004

Duodecimal: 1B858

Hexadecimal: a004

Square: 1678049296

Square Root: 202.39565212721345

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

a(n) = ceiling(a(n-1)*3/2) with a(1) = 1. A61419

Numbers k such that σ(k) = ψ(k) + φ(k). A389478

Coefficients of Chebyshev polynomials. A5583

Fixed points of A065649, a permutation of nonnegative integers based on Champernowne's constant. A261279

a(n) = (n-1)(n-4)(n-9)...(n-k²) where k² < n <= (k+1)². A80500

Number of (w,x,y,z) with all terms in {1,...,n} and w·x>y·z+1. A212054

a(n) = (n⁴ + 5·n³ + 11·n² + 7·n)/6. A332697

G.f.: ∑_n=-oo..+oo x^n² * C(x)^4·n-4, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A356778

a(n) = (1/5) * ∑_k=0..n-1 binomial(5·n,5·k+2). A387744

Number of connected graphs with <= n edges. A46745