Properties of the Number 65445

Sixty-Five Thousand Four Hundred Forty-Five

Basics

Value: 65444 → 65445 → 65446

Parity: odd

Prime: No

Previous Prime: 65437

Next Prime: 65447

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 4363

Divisors: 1, 3, 5, 15, 4363, 13089, 21815, 65445

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111111110100101

Octal: 177645

Duodecimal: 31A59

Hexadecimal: ffa5

Square: 4283048025

Square Root: 255.82220388386932

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

Number of different lattice paths running from (0,0) to (n,0) using steps from S = {(k,k) or (k,-k): k positive integer} that never go below the x-axis. A59231

Number A(n,k) of lattice paths from {n}^k to {0}^k using steps that decrement one component such that for each point (p₁,p₂,...,p_k) we have p₁<=p₂<=...<=p_k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A227578

Triangle read by rows: T(n,k) = ∑_j=0..k-1 T(n,j) + ∑_j=1..n-k T(n-j,k), with T(0,0)=1 and T(n,k) = 0 for k > n. A59450

a(n) = N(7,n), where N(7,x) is the 7th Narayana polynomial. A90200

Series reversion of x/(1+5x+4x²). A127846

Triangle derived from an array of f(x), Narayana polynomials. A204057

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={-1,1,2}. A80000

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) = ∑_j=0..n k^j * binomial(n,j) * Catalan(j+1). A386408

Number of lattice paths from {7}ⁿ to {0}ⁿ using steps that decrement one component such that for each point (p₁,p₂,...,p_n) we have p₁<=p₂<=...<=p_n. A227604

Number of binary matrices with 3 distinct columns and any number of nonzero rows with n ones in every column and rows in nonincreasing lexicographic order. A331390