Properties of the Number 63499

Sixty-Three Thousand Four Hundred Ninety-Nine

Basics

Value: 63498 → 63499 → 63500

Parity: odd

Prime: Yes

Previous Prime: 63493

Next Prime: 63521

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 63499

Divisors: 1, 63499

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100000001011

Octal: 174013

Duodecimal: 308B7

Hexadecimal: f80b

Square: 4032123001

Square Root: 251.99007916979588

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)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 nXk array. A218810

G.f. A(x) satisfies A(x) = 1/( 1 + x*(1 - 9·x*A(x))^1/3 ). A372013

Absolute discriminants of imaginary quadratic number fields with elementary bicyclic 7-class group (7,7). A359872

a(n) = ∑_{k=0..floor(n/2)} binomial(k+3,3) * binomial(n,k) * binomial(n-k,k). A392033

Primes of the form 9n² - 5. A201960

Hilltop maps: number of n X 4 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 n X 4 array. A218806

Hilltop maps: number of 4Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 4Xn array. A218813

Hilltop maps: number of n X n binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 n X n array. A218803

Primes of the form prime(n) + n!. A63499

Number of (n+2) X (7+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101. A260926