Properties of the Number 4067

Four Thousand Sixty-Seven

Basics

Value: 4066 → 4067 → 4068

Parity: odd

Prime: No

Previous Prime: 4057

Next Prime: 4073

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 ² × 83

Divisors: 1, 7, 49, 83, 581, 4067

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 111111100011

Octal: 7743

Duodecimal: 242B

Hexadecimal: fe3

Square: 16540489

Square Root: 63.773035054010094

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

Euler transform of A000389. A417

Number of n-step self-avoiding walks on the square lattice with first step specified. A46661

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..3 nXk array. A218196

Number of integer partitions of n whose differences of all degrees > 1 are nonzero. A325874

Matrix log of triangle A111830, which shifts columns left and up under matrix 7th power; these terms are the result of multiplying each element in row n and column k by (n-k)!. A111833

Numbers that are the sum of six cubes in exactly ten ways. A345772

Antidiagonal sums of square array A082025. A82190

Number of integer partitions of n whose run-sums are not weakly decreasing. A357878

Numbers k such that k²+k+5 is a palindrome. A27718

Numbers which need 12 'Reverse and Add' steps to reach a palindrome. A65217