Properties of the Number 8968

Eight Thousand Nine Hundred Sixty-Eight

Basics

Value: 8967 → 8968 → 8969

Parity: even

Prime: No

Previous Prime: 8963

Next Prime: 8969

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 19 × 59

Divisors: 1, 2, 4, 8, 19, 38, 59, 76, 118, 152

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10001100001000

Octal: 21410

Duodecimal: 5234

Hexadecimal: 2308

Square: 80425024

Square Root: 94.69952481401371

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

Strobogrammatic numbers: the same upside down. A787

Numbers n whose abundance is 64: σ(n) - 2n = 64. A275996

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302889

House numbers: a(n) = (n+1)³ + ∑_i=1..n i². A51662

Positive numbers that are not the sum of two squares and a positive Fibonacci number. A115176

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both. A234760

Non-balanced numbers in A015765. A74868

a(n) = ∑_{k=1..floor((n+1)/2)} T(n,2k-1), array T as in A049777. A49778

Expansion of q^-1 * f(-q², -q⁵)² * f(-q³, -q⁴) / f(-q¹, -q⁶)³ in powers of q where f() is Ramanujan's two-variable θ function. A108481

Consider a non-palindromic number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that ∑_i=1..k-1{φ(∑_j=1..i{d_j*10^j-1})} = ∑_i=1..k-1{φ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A241503