Properties of the Number 9515

Nine Thousand Five Hundred Fifteen

Basics

Value: 9514 → 9515 → 9516

Parity: odd

Prime: No

Previous Prime: 9511

Next Prime: 9521

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 11 × 173

Divisors: 1, 5, 11, 55, 173, 865, 1903, 9515

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100101011

Octal: 22453

Duodecimal: 560B

Hexadecimal: 252b

Square: 90535225

Square Root: 97.54486147409304

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)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 0 vertically. A207442

T(n,k)=Number of nXk 0..2 arrays with rows and antidiagonals unimodal. A223975

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 010 in rows and columns. A202616

L.g.f.: ∑_n=-oo..+oo (x - x^2·n-1)^2·n-1 / (2·n-1). A293129

a(0)=0, a(1)=1, a(2)=2, a(3)=3, a(4)=12; for n > 4, a(n) = 8·a(n-2) - a(n-4) - 3. A105045

Numbers whose consecutive digits differ by 4. A48406

a(-1)=a(0)=1 and recursively a(n) = prime(n)*(a(n-1)+a(n-2)). A109365

Numbers k that divide the (right) concatenation of all numbers <= k written in base 11 (most significant digit on left). A29456

Zero followed by partial sums of A059100, starting at n=1. A145068

Number of nondecreasing integer sequences of length 16 with sum zero and sum of absolute values 2n. A158150