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Properties of the Number 4008

Four Thousand Eight

Basics

Value: 4007 → 4008 → 4009

Parity: even

Prime: No

Previous Prime: 4007

Next Prime: 4013

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 3 × 3 × 167

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 167, 334

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 111110101000

Octal: 7650

Duodecimal: 23A0

Hexadecimal: fa8

Square: 16064064

Square Root: 63.30876716537765

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

Numbers k such that Bernoulli number Bk has denominator 2730. A249134
Number of nonempty subsets of {1..n} whose geometric mean is an integer. A326027
Numbers that can be expressed as the difference of the squares of primes in just two distinct ways. A90788
Positions of occurrences of the natural numbers as a second subsequence in A100035. A100037
3 times 13-gonal (or tridecagonal) numbers: a(n) = 3·n*(11·n - 9)/2. A153875
Numbers that have exactly five prime factors counted with multiplicity (A014614) whose digit reversal is different and also has 5 prime factors (with multiplicity). A109025
T(n,k)=Number of n-step self-avoiding walks on a kXk square summed over all starting positions. A188147
T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge. A251258
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9. A251652
Least nontrivial multiple of the n-th prime beginning with 4. A78288