Properties of the Number 6001

Six Thousand One

Basics

Value: 6000 → 6001 → 6002

Parity: odd

Prime: No

Previous Prime: 5987

Next Prime: 6007

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 17 × 353

Divisors: 1, 17, 353, 6001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1011101110001

Octal: 13561

Duodecimal: 3581

Hexadecimal: 1771

Square: 36012001

Square Root: 77.46612162745726

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 the concatenation of k with k+8 gives a square. A115429

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

Centered 20-gonal (or icosagonal) numbers. A69133

Number of partitions of n where the difference between consecutive parts is at most 9. A238869

a(n) is the conjectured highest power of n which has no four identical digits in succession. A216065

a(n) = ∑_k=0..n C(n, k)*C(n+k, k)/(2k-1), where C(n, k) denotes the binomial coefficient n!/(k!*(n-k)!). A245769

Expansion of g.f. (1-2·x+51·x²)/(1-x)³. A257352

Numbers k such that (k!)² + k! + 1 is prime. A51856

Sum of n-th row of triangle of primes: 2; 2 3 2; 2 3 5 3 2; 2 3 5 7 5 3 2; ...; where n-th row contains 2n+1 terms. A61802

Width of the bit-masks A068221 & A068222 (number of digits in A068223 & A068224). A68739