Properties of the Number 2937

Two Thousand Nine Hundred Thirty-Seven

Basics

Value: 2936 → 2937 → 2938

Parity: odd

Prime: No

Previous Prime: 2927

Next Prime: 2939

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 89

Divisors: 1, 3, 11, 33, 89, 267, 979, 2937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101111001

Octal: 5571

Duodecimal: 1849

Hexadecimal: b79

Square: 8625969

Square Root: 54.194095619356915

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

First differences of A005579. A5347

G.f. A(x,y) satisfies: -y = f(-x,-A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354650

G.f. A(x,y) satisfies: y = f(x,A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354649

Numbers k such that k!!!!! + 1 is prime. A85148

Number of integer partitions of n having no permutation with all equal run-lengths. A382915

a(n) = A000217(A000217(n))-n². A86602

Number of integer partitions of n whose multiset of multiplicities has integer mean. A360069

a(1) = 3; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74339

a(n) = ∑_{1 <= i < j <= n} F(i)*F(j), where F(k) is the k-th Fibonacci number. A190173

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186472