Properties of the Number 6513

Six Thousand Five Hundred Thirteen

Basics

Value: 6512 → 6513 → 6514

Parity: odd

Prime: No

Previous Prime: 6491

Next Prime: 6521

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 167

Divisors: 1, 3, 13, 39, 167, 501, 2171, 6513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101110001

Octal: 14561

Duodecimal: 3929

Hexadecimal: 1971

Square: 42419169

Square Root: 80.7031597894407

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

a(n) = n·prime(n). A33286

Multiples of 13 containing a 13 in their decimal representation. A121033

a(n) is the number of nonnegative integers k less than 10ⁿ such that the decimal representation of k lacks the digit 1, at least one of digits 2,3,4,5 and at least one of digits 6,7,8,9. A125947

The determinant of an n X n Toeplitz matrix M(n) whose first row consists of successive prime numbers prime(1), ..., prime(n) and whose first column consists of prime(1), prime(n + 1), ..., prime(2·n - 1). A318173

a(n) = (n³ - 7·n + 12)/6. A105163

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 1 vertically. A207169

Matula-Goebel numbers of semi-lone-child-avoiding rooted identity trees. A331963

Total number of congruence subgroups of PSL(2,Z) of genus n. A258691

a(n) = (a(n-1)+a(n-2))/7^k, where 7^k is the highest power of 7 dividing a(n-1)+a(n-2). A78414

a(n) = 13·n² + 10·n + 1. A161587