Properties of the Number 6005

Six Thousand Five

Basics

Value: 6004 → 6005 → 6006

Parity: odd

Prime: No

Previous Prime: 5987

Next Prime: 6007

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 1201

Divisors: 1, 5, 1201, 6005

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101110101

Octal: 13565

Duodecimal: 3585

Hexadecimal: 1775

Square: 36060025

Square Root: 77.4919350642375

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 having a unique part of least multiplicity. A362610

Strictly superdiagonal compositions: compositions (p1, p2, p3, ...) of n such that π > i. A238874

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

a(n) = A019565(n) - 1. A339809

a(n) = 4·n² + 6·n + 1. A82108

Integer part of γ(n+1/9)/γ(1/9). A20069

Numbers n such that the sum of digits of 2n equals 4. A279772

Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + ((n+1)²*(n+2)²*(2·n² +6·n +3)/12)*T(n-2, k-1), read by rows. A154231

Expansion of (1 - x + 2·x²) / (1 - x³ + x⁴). A110062

Composite numbers k such that k+d+1 is prime for all divisors d of k greater than 1. A120776