Properties of the Number 7997

Seven Thousand Nine Hundred Ninety-Seven

Basics

Value: 7996 → 7997 → 7998

Parity: odd

Prime: No

Previous Prime: 7993

Next Prime: 8009

Digit Sum: 32

Digital Root: 5

Palindrome: Yes

Factorization: 11 × 727

Divisors: 1, 11, 727, 7997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100111101

Octal: 17475

Duodecimal: 4765

Hexadecimal: 1f3d

Square: 63952009

Square Root: 89.42594701763018

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

Palindromic in bases 4 and 10. A29961

Coordination sequence for (3,5,5) tiling of hyperbolic plane. A265076

Sum of digits = 8 times number of digits. A61425

Palindromes with exactly 2 prime factors (counted with multiplicity). A46328

Number of strict compositions of n with all adjacent parts (x, y) satisfying x <= 2y and y <= 2x. A342342

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 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252148

Triangle read by rows: T(n, k) = (6·n-6·k+1)*T(n-1, k-1) + (6·k-5)*T(n-1, k) + 6·T(n-2, k-1) with T(n, 1) = T(n, n) = 1. A144443

a(n) = C(n+6, 6) - n - 1. A62989

Concatenation of n-th prime and its reverse. A67087

Palindromes with exactly 2 palindromic prime factors (counted with multiplicity), and no other prime factors. A46376