Properties of the Number 86550

Eighty-Six Thousand Five Hundred Fifty

Basics

Value: 86549 → 86550 → 86551

Parity: even

Prime: No

Previous Prime: 86539

Next Prime: 86561

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 ² × 577

Divisors: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10101001000010110

Octal: 251026

Duodecimal: 42106

Hexadecimal: 15216

Square: 7490902500

Square Root: 294.193813667113

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..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252105

Square array A(1,k) = A265905(k), A(n>1,k) = A(n-1, k+1) - A(n-1, k); successive differences of A265905 read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A275950

Numbers k such that k has nonincreasing digits and the k-th prime has nondecreasing digits. A116069

Transpose of array A275950. A275951

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252100

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252102

Smallest m >= 2·n such that binomial(m,n) is a multiple of m-i for all 0<=i<n, but one. A389360

Smallest k such that τ(k) - τ(k-1) = n, where τ(k) = number of divisors of k, or 0 if no such number exists. A86550