Properties of the Number 5936

Five Thousand Nine Hundred Thirty-Six

Basics

Value: 5935 → 5936 → 5937

Parity: even

Prime: No

Previous Prime: 5927

Next Prime: 5939

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 7 × 53

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 53, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100110000

Octal: 13460

Duodecimal: 3528

Hexadecimal: 1730

Square: 35236096

Square Root: 77.0454411370329

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

Number of integer partitions of n with no difference -2. A350842

A partition product with biggest-part statistic of Stirling₁ type (with parameter k = -2) as well as of Stirling₂ type (with parameter k = -2), (triangle read by rows). A157400

Triangle read by rows: T(n,k) = number of edges in a "frame" of size n X k (see Comments in A331457 for definition). A332600

Numbers k such that φ(x) = k has exactly 11 solutions. A60674

Differences of two positive 4th powers. A147857

Numbers k such that the decimal expansion of k! begins with k. A33147

A partition product of Stirling₁ type [parameter k = 2] with biggest-part statistic (triangle read by rows). A157392

Array read by antidiagonals: T(n,k) = number of rooted n-dimensional polycubes with k cells, with no symmetries removed (n >= 1, k >= 1). A48790

A partition product of Stirling₂ type [parameter k = 2] with biggest-part statistic (triangle read by rows). A157402

T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock sum equal to some horizontal or vertical neighbor 2X2 subblock sum. A185497