Properties of the Number 45481

Forty-Five Thousand Four Hundred Eighty-One

Basics

Value: 45480 → 45481 → 45482

Parity: odd

Prime: Yes

Previous Prime: 45439

Next Prime: 45491

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 45481

Divisors: 1, 45481

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000110101001

Octal: 130651

Duodecimal: 223A1

Hexadecimal: b1a9

Square: 2068521361

Square Root: 213.26274873967088

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

Primes which can be partitioned into distinct factorials. 0! and 1! are not considered distinct. A89359

Row sums of the central coefficients triangle (A163771). A163774

Expansion of ∏_k>=1 (1 + x^k)^sigma₀(k²). A301746

Indices of tetrahedral numbers that are Fermat pseudoprimes to base 2. A321866

Irregular symmetric triangle of coefficients T(n,k) of the polynomials p(n,x) = ∑_k=0..n binomial(n+1,k)*(1+x)^2·k*(-x)^n-k for 0 <= k <= 2·n. A264766

a(n) is the smallest positive integer that when expressed in bases 2 to n, but read in base n, is always prime. A348226

Lexicographically earliest infinite sequence of distinct primes such that, for n > 0, 2n | (a(n+1) - a(n)) and, for n > 0, b(n+1) > b(n) where b(n) = (a(n+1) - a(n)) / 2n. A350392

McKay-Thompson series of class 3B for the Monster group with a(0) = -3. A45481

Initial members of prime triples p < q < r such that r-q = n*(q-p). A181994