Properties of the Number 4037

Four Thousand Thirty-Seven

Basics

Value: 4036 → 4037 → 4038

Parity: odd

Prime: No

Previous Prime: 4027

Next Prime: 4049

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 11 × 367

Divisors: 1, 11, 367, 4037

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111000101

Octal: 7705

Duodecimal: 2405

Hexadecimal: fc5

Square: 16297369

Square Root: 63.53739056650029

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

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 4.6.12 2D tiling (cf. A072154). A299258

Fibonacci sequence beginning 1, 6. A22096

a(n) = T(n, n-4), T given by A026552. Also a(n) = number of integer strings s(0),...,s(n) counted by T, such that s(n)=4. A26557

Numbers k such that s(k) = s(k+1) where s(k) is the sum of divisors of k that are smaller than sqrt(k) (A070039). A324295

Numbers k such that k·2^m+1 is prime for exactly one exponent m in the range 0<=m<=k. A61155

An Ulam-type sequence: a(n) = n if n<=9; for n>9, a(n) = least number > a(n-1) which is a unique sum of 9 distinct earlier terms. A183532

Vertex number of a square spiral in which the length of the first two edges are the legs of the primitive Pythagorean triple [5, 12, 13]. The edges of the spiral have length A195031. A195032

Column of Motzkin triangle. A5325

Molien series for full 8 X 8 Siegel modular group H₃ of order 371589120. A27633

Expansion of Molien series for 8-dimensional complex Clifford group of genus 3 and order 743178240. A39946