Properties of the Number 4189

Four Thousand One Hundred Eighty-Nine

Basics

Value: 4188 → 4189 → 4190

Parity: odd

Prime: No

Previous Prime: 4177

Next Prime: 4201

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 59 × 71

Divisors: 1, 59, 71, 4189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001011101

Octal: 10135

Duodecimal: 2511

Hexadecimal: 105d

Square: 17547721

Square Root: 64.72248450113763

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 gap-free compositions of n. A107428

Positions of occurrences of the natural numbers as a second subsequence in A100035. A100037

Numbers k such that 3^k - 20 is prime. A219041

Consider all permutations p_i of the first n primes; a(n) is the minimum over p_i of the maximal product of two adjacent primes in the permutation. A332765

Number T(n,k) of permutations p of [n] such that the up-down signature of p has nonnegative partial sums with a maximal value of k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A262125

Greatest semiprime whose prime indices sum to n. A339115

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 0,1 1,0 or -1,-2. A264285

Number of strict compositions of n with all adjacent parts (x, y) satisfying x <= 2y and y <= 2x. A342342

Numerator of 1/36 - 1/n². A61045

Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 451". A246318