Properties of the Number 5988

Five Thousand Nine Hundred Eighty-Eight

Basics

Value: 5987 → 5988 → 5989

Parity: even

Prime: No

Previous Prime: 5987

Next Prime: 6007

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 499

Divisors: 1, 2, 3, 4, 6, 12, 499, 998, 1497, 1996

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011101100100

Octal: 13544

Duodecimal: 3570

Hexadecimal: 1764

Square: 35856144

Square Root: 77.38216848861241

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

Inverse Moebius transform of the shifted tetrahedral numbers. A116963

Total length of longest runs of 1's in all bitstrings of length n. A119706

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements. A283522

G.f. A(x) satisfies: A(x) = A( x³ + 6·x*A(x)³ )^1/3, with A(0)=0, A'(0)=1. A271934

Number of solutions to +-1+-2⁴+-3⁴+-4⁴...+-n⁴=0. A158465

Positive integers m with p(m)² + q(m)² prime, where p(.) is the partition function (A000041) and q(.) is the strict partition function (A000009). A236413

Number of distinct products ijk with 0 <= i < j < k <= n. A27429

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 405", based on the 5-celled von Neumann neighborhood. A271812

Numbers z such that x² + y⁷ = z² for positive integers·and y. A293692

Expansion of ∑_k>0 (1/(1+x^k)⁴ - 1). A363631