Properties of the Number 65500

Sixty-Five Thousand Five Hundred

Basics

Value: 65499 → 65500 → 65501

Parity: even

Prime: No

Previous Prime: 65497

Next Prime: 65519

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 ³ × 131

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111111111011100

Octal: 177734

Duodecimal: 31AA4

Hexadecimal: ffdc

Square: 4290250000

Square Root: 255.92967784139455

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 length n+4 0..k arrays with no disjoint pairs in any consecutive five terms having the same sum. A247404

For a number k of length L, let f(k) be the sum of the products of the first i digits of k multiplied by the last L-i digits, for i from 1 to L-1, e.g., f(1234) = 1·234 + 12·34 + 123·4 = 1134. Sequence gives k such that f(k) = k. A65759

Smallest k > 1 such that (sum of digits of kⁿ)*(sum of digits of kⁿ⁺¹) = k, or 0 if no such k exists. A126783

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 97", based on the 5-celled von Neumann neighborhood. A278866

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 353", based on the 5-celled von Neumann neighborhood. A281287

Monotonic ordering of nonnegative differences 4ⁱ-6^j, for 40>= i>=0, j>=0. A192163

Partition the j digits of n into blocks of k, with 1 <= k <= j-1, starting at right and multiply. Sum of these numbers equals n. A275170

Number of length n+4 0..6 arrays with no disjoint pairs in any consecutive five terms having the same sum. A247402

Number of length 3+4 0..n arrays with no disjoint pairs in any consecutive five terms having the same sum. A247407

Maximum number of simple graphs with no isolated vertices on n nodes with identical degree sequences. A308522