Properties of the Number 6000

Six Thousand

Basics

Value: 5999 → 6000 → 6001

Parity: even

Prime: No

Previous Prime: 5987

Next Prime: 6007

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ³

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101110000

Octal: 13560

Duodecimal: 3580

Hexadecimal: 1770

Square: 36000000

Square Root: 77.45966692414834

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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 whose unsorted prime signature is not unimodal. A332282

Hypotenuses for which there exist exactly 3 distinct integer triangles. A84647

Numbers k such that the decimal expansion of k² contains k as a substring. A18834

Scaled Chebyshev U-polynomials evaluated at i·sqrt(5)/2. Generalized Fibonacci sequence. A57088

Numbers that contain only one nonzero digit. A37124

'Eban' numbers (the letter 'e' is banned!). A6933

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 6 as largest digit. A256633

Composite numbers such that the square root of the sum of squares of their prime factors (with multiplicity) is an integer. A134605

Number T(n,k) of equivalence classes of ways of placing k 3 X 3 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=3, 0<=k<=2·floor(n/3), read by rows. A238556

Numbers in which 0 outnumbers all other digits together. A292730