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Properties of the Number 30351

Thirty Thousand Three Hundred Fifty-One

Basics

Value: 30350 → 30351 → 30352

Parity: odd

Prime: No

Previous Prime: 30347

Next Prime: 30367

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 67 × 151

Divisors: 1, 3, 67, 151, 201, 453, 10117, 30351

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111011010001111

Octal: 73217

Duodecimal: 15693

Hexadecimal: 768f

Square: 921183201

Square Root: 174.21538393609217

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101. A259952
a(n) = a(n-2) + a(n-3) + a(n-4), with initial values a(0) = 0, a(1) = 2, a(2) = 3, a(3) = 6. A1634
Expansion of e.g.f. 1/(1 - x*(1 + x/2)*exp(x)). A308946
a(0)=a(1)=1, a(n) = a(n-1) + a(a(n-2) mod n). A215525
Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101. A259947
Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101. A259949
Number of n X n binary arrays with all ones connected only in a 3X3 plus 2,1 2,2 2,3 1,2 3,2. A145997
Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 3 X 3 plus 2,1 2,2 2,3 1,2 3,2. A145999
Numbers k such that (2·10k - 71)/3 is prime. A280449
Write n in base 3, then complement each digit (d -> 2-d) and juxtapose. A30351