Properties of the Number 23389

Twenty-Three Thousand Three Hundred Eighty-Nine

Basics

Value: 23388 → 23389 → 23390

Parity: odd

Prime: No

Previous Prime: 23371

Next Prime: 23399

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 19 × 1231

Divisors: 1, 19, 1231, 23389

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101101011101

Octal: 55535

Duodecimal: 11651

Hexadecimal: 5b5d

Square: 547045321

Square Root: 152.93462655657808

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

G.f. A(x) satisfies: A(x) = x * (1 + A(x))⁵ / (1 - 3·A(x)). A366035

How many more primes than irreducible GF(2)[X] polynomials there are in range [0,2ⁿ]. A91231

Consider a 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 σ(n) - n = ∑_i=1..k-1{φ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A240900

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 96 ones. A31864

Number of (n+2) X 7 0..2 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock. A186564

Number of (n+2) X 8 0..2 arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock. A186565

Numbers without a digit 1 with digits in nondecreasing order and the product of digits is a power of 6. A304392

Numbers having four 5's in base 8. A43444

a(n) = prime(n)³ - n³. A262186

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock. A186568