Properties of the Number 37080

Thirty-Seven Thousand Eighty

Basics

Value: 37079 → 37080 → 37081

Parity: even

Prime: No

Previous Prime: 37061

Next Prime: 37087

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 103

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011011000

Octal: 110330

Duodecimal: 19560

Hexadecimal: 90d8

Square: 1374926400

Square Root: 192.56167843057455

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

Triangle T(n,k) of k-block T₀-tricoverings of an n-set, n >= 3, k = 0..2·n. A59530

Number of multiset partitions of integer partitions of n such that all blocks are gapless. A356941

E.g.f. C(x,y) = 1 + Integral S(x,y)*C(y,x) dx such that C(x,y)² - S(x,y)² = 1 and C(y,x) = Integral S(y,x)*C(x,y) dy, where C(x,y) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n-2·k*y^2·k/(2·n)!, as a triangle of coefficients T(n,k) read by rows. A322731

Sums of members of groups in A076063. A76066

E.g.f. C(y,x) = 1 + Integral S(y,x)*C(x,y) dy such that C(x,y)² - S(x,y)² = 1 and C(x,y) = Integral S(x,y)*C(y,x) dx, where C(y,x) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n-2·k*y^2·k/(2·n)!, as a triangle of coefficients T(n,k) read by rows. A322732

Antidiagonal sums of the convolution array A213778. A213780

Coefficient of x²ⁿ⁺¹ in the expansion of (1+x+x²+x³+x⁴)ⁿ. A104631

Irregular triangle read by rows: T(n,k) = number of k-irredundant sets in the n X n rook graph. A290823

Numbers n such that n² + 1, (n+1)² + 1 and (n+2)² + 1 are divisible by a square. A218048

a(n) = smallest k such that prime(n) is the n-th largest divisor of k. A226326