Properties of the Number 89712

Eighty-Nine Thousand Seven Hundred Twelve

Basics

Value: 89711 → 89712 → 89713

Parity: even

Prime: No

Previous Prime: 89689

Next Prime: 89753

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 7 × 89

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111001110000

Octal: 257160

Duodecimal: 43B00

Hexadecimal: 15e70

Square: 8048242944

Square Root: 299.5196153843684

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

Numbers k such that 6^k+5^k-1 is prime. A93765

Self-convolution of the central Stirling numbers of the second kind. A187655

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0ⁿ and T(n,k) = k * ∑_r=0..n binomial(n,r) * binomial(3·r+k,n)/(3·r+k) for k > 0. A378318

Expansion of x*(4-x)/( (2x-1)*(x²-x-1)). A120461

Number of sequences of n integers p(i) i=0..n-1 with 0<=p(i)<=6·i and -6<p(i)-p(i-1)<=6. A180911

Consider all 3 X 3 matrices M whose entries are the n-th to (n+8)-th primes prime(n), ..., prime(n+8), in any order. a(n) is the sum of the number of M such that det(M) is divisible by prime(n+i), for i from 0 to 8. A339105

T(n,k)=number of sequences of n integers p(i) i=0..n-1 0<=p(i)<=k·i and -k<p(i+1)-p(i)<=k. A180915

Smallest prime as a concatenation k and k-n. A89712