Properties of the Number 6003

Six Thousand Three

Basics

Value: 6002 → 6003 → 6004

Parity: odd

Prime: No

Previous Prime: 5987

Next Prime: 6007

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 23 × 29

Divisors: 1, 3, 9, 23, 29, 69, 87, 207, 261, 667

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1011101110011

Octal: 13563

Duodecimal: 3583

Hexadecimal: 1773

Square: 36036009

Square Root: 77.47902942086975

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 planted planar trees (n+1 nodes) where any 2 subtrees extending from the same node are different. A32027

a(1) = 2; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A33679

Sum of the n-th maximal run of adjacent (increasing by one at a time) non-perfect-powers. A375705

Let p = n-th prime == 3 mod 8; a(n) = (sum of quadratic residues mod p that are < p/2) + (sum of all quadratic residues mod p). A282727

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north, west or northwest neighbors modulo n and the upper left element equal to 0. A267401

Triangle T(n,k) read by rows: T(n,k) = the number of ways of seating n people around a table for the second time so that k pairs are maintained. Reflected and rotated sequences are counted as one. A326411

Sum of terms in n-th group in A075352. A75356

G.f. A(x) satisfies: 2 = ∑_n>=0 (1/2ⁿ) * (1+x)^n² / A(x)ⁿ. A303290

a(n) = (1/24)*n*(n + 5)*(n² + n + 6). A51743

a(n) = n*(2·n² + n + 1)/2. A85786