Properties of the Number 3736

Three Thousand Seven Hundred Thirty-Six

Basics

Value: 3735 → 3736 → 3737

Parity: even

Prime: No

Previous Prime: 3733

Next Prime: 3739

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 467

Divisors: 1, 2, 4, 8, 467, 934, 1868, 3736

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010011000

Octal: 7230

Duodecimal: 21B4

Hexadecimal: e98

Square: 13957696

Square Root: 61.1228271597445

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 of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

a(n) = ∑_k=0..n T(k) where T(n) are the tribonacci numbers A000073. A8937

Fibonacci-Pascal triangle read by rows. A36355

Numbers k such that the largest prime factor of k²-1 is 101. A181568

Triangle G(n,k) read by rows, for 0 <= k <= n, where G(n, 0) = G(n+1, n+1) = 1, G(n+2, n+1) = 2, G(n+3, n+1) = 4, and G(n+4, m) = G(n+1, m-1) + G(n+1, m) + G(n+2, m) + G(n+3, m) for n >= 0 and m = 1..n+1. A140997

Coefficients in expansion of ∑_{n >= 1} xⁿ/(1-xⁿ)⁴. A59358

List of different composites in Pascal-like triangles with index of asymmetry y = 2 and index of obliquity z = 0 or z = 1. A141066

Discriminants of imaginary quadratic fields with class number 26 (negated). A351664

a(n) = 2·n² + n - 5. A100040

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281400