Properties of the Number 10344

Ten Thousand Three Hundred Forty-Four

Basics

Value: 10343 → 10344 → 10345

Parity: even

Prime: No

Previous Prime: 10343

Next Prime: 10357

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 431

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 431, 862

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100001101000

Octal: 24150

Duodecimal: 5BA0

Hexadecimal: 2868

Square: 106998336

Square Root: 101.70545708072896

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

Record (maximal) gaps between prime triples (p, p+2, p+6). A201598

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234911

Number of permutations satisfying i-2<=p(i)<=i+5, i=1..n. A72852

a(n) is the 2-adic valuation of 1 + 3*{the n-th iterate of 27 with A371094}. A372448

Number of ways to choose three distinct points from a 4 X n grid so that they form an isosceles triangle. A271913

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A381601. A381594

a(n) = 1728·n - 24. A157287

Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UD, HU, HH and DH. A329691

Number of interval graphs on n unlabeled nodes. A5975

a(n) = A000203(n) * A024916(n). A143238