Properties of the Number 9748

Nine Thousand Seven Hundred Forty-Eight

Basics

Value: 9747 → 9748 → 9749

Parity: even

Prime: No

Previous Prime: 9743

Next Prime: 9749

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 2437

Divisors: 1, 2, 4, 2437, 4874, 9748

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000010100

Octal: 23024

Duodecimal: 5784

Hexadecimal: 2614

Square: 95023504

Square Root: 98.73196037757987

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

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3·floor(n/2), read by rows. A238555

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 8 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=4·floor(n/2), read by rows. A238557

a(n) is the solution to the postage stamp problem with 6 denominations and n stamps. A1211

Absolute discriminants of complex quadratic fields with 3-class group of elementary abelian type (3,3) of rank 2. A242863

Number A(n,k) of rooted identity trees with n nodes and k-colored non-root nodes; square array A(n,k), n>=0, k>=0, read by antidiagonals. A255517

Absolute discriminants of complex quadratic fields with 3-class rank 2. A242862

Number of endless self-avoiding walks of length n for the square lattice. A334322

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) and Hilbert 3-class field tower of exact length 3, except for the cases mentioned in the COMMENTS. A242878

a(n) = 13·n² + 10·n + 1. A161587

Minimal absolute discriminants a(n) of complex quadratic fields with 3-class group of type (3,3), 3-principalization type E.9 (2334), and second 3-class group G of odd nilpotency class cl(G)=2(n+2)+1. A247696