Properties of the Number 30212

Thirty Thousand Two Hundred Twelve

Basics

Value: 30211 → 30212 → 30213

Parity: even

Prime: No

Previous Prime: 30211

Next Prime: 30223

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 × 13 × 83

Divisors: 1, 2, 4, 7, 13, 14, 26, 28, 52, 83

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011000000100

Octal: 73004

Duodecimal: 15598

Hexadecimal: 7604

Square: 912764944

Square Root: 173.81599466102077

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 there is 1 prime between 100·k and 100·k + 99. A186393

a(n) = ∑_{k=0..floor(n/3)} binomial(n,k) * binomial(2·k,n-3·k). A389125

G.f. satisfies A(x) = 1 + x³*A(x)²*(1 + x·A(x)). A365723

Numbers whose k digits can be permuted into a new k-digit number according to rules explained in the Comments section. A330418

a(n) = n * [1 + sum(k=1 to n) prime(k)]. A83725

Number of binary strings of length n that avoid the pattern·x^R x (x^R is the reversal of x). A261204

Number of separable partitions of n in which the number of distinct (repeatable) parts <= 5. A325714

Number of partitions satisfying (cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5) and cn(4,5) <= cn(2,5) and cn(4,5) <= cn(3,5)). A36803

Sum of binomial numbers A000332(k+3), with k in the reduced residue system modulo n. A192000

Glaisher's chi₄(n). A30212