Properties of the Number 4213

Four Thousand Two Hundred Thirteen

Basics

Value: 4212 → 4213 → 4214

Parity: odd

Prime: No

Previous Prime: 4211

Next Prime: 4217

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 11 × 383

Divisors: 1, 11, 383, 4213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000001110101

Octal: 10165

Duodecimal: 2531

Hexadecimal: 1075

Square: 17749369

Square Root: 64.90762667052309

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

Riordan numbers: a(n) = (n-1)*(2·a(n-1) + 3·a(n-2))/(n+1). A5043

Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6·k*(k-1) + 1. A3154

Numbers that are the sum of 4 positive 5th powers. A3349

Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically. A30299

Inverse binomial matrix applied to A039599. A89942

Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year. A14088

Expansion of (sqrt(1+3·x) + sqrt(1-x))/(2·sqrt(1-x)). A99323

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250898

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250942

Square array A(n,k) = A276156((2^n-1) * (2k-1)) / A002110(n-1), read by descending antidiagonals. A328464