Properties of the Number 9506

Nine Thousand Five Hundred Six

Basics

Value: 9505 → 9506 → 9507

Parity: even

Prime: No

Previous Prime: 9497

Next Prime: 9511

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 7 ² × 97

Divisors: 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100100010

Octal: 22442

Duodecimal: 5602

Hexadecimal: 2522

Square: 90364036

Square Root: 97.49871794028884

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 6 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3·floor(n/2), read by rows. A238550

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

Number of ways of writing n as the sum of 7 triangular numbers. A226252

Product of a prime and the following number. A36690

Number of integer partitions of n with a unique composite part. A379302

a(n) = (3·n+1)*(3·n+2). A1504

a(n) = 25·n² + 25·n + 6. A177059

G.f.: (1 + x³ + x⁴ + ... + x¹² + x¹⁵)/∏_i=1..10 (1 - xⁱ). A3403

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A282230

Indices k such that A377091(k) is immediately followed by A377091(k+1) = -A377091(k). A379802