Properties of the Number 45307

Forty-Five Thousand Three Hundred Seven

Basics

Value: 45306 → 45307 → 45308

Parity: odd

Prime: Yes

Previous Prime: 45293

Next Prime: 45317

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 45307

Divisors: 1, 45307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000011111011

Octal: 130373

Duodecimal: 22277

Hexadecimal: b0fb

Square: 2052724249

Square Root: 212.8544103372068

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) is the number of (n+1) X (k+1) 0..2 arrays with column and row pair sums b(i,j) = a(i,j) + a(i,j-1) and c(i,j) = a(i,j) + a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203965

Primes followed by a [10,2,10] prime difference pattern of A001223. A52376

Primes p such that p⁴-p³+1 and p⁴-p³-1 are also primes. A238136

Primes that are values of A215240. A320041

Number of (n+1)X3 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203959

Number of (n+1)X5 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing. A203961

Least prime factor of A098129(n). A358275

Numbers whose base-5 representation contains exactly three 3's and three 4's. A45307