Properties of the Number 10356

Ten Thousand Three Hundred Fifty-Six

Basics

Value: 10355 → 10356 → 10357

Parity: even

Prime: No

Previous Prime: 10343

Next Prime: 10357

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 863

Divisors: 1, 2, 3, 4, 6, 12, 863, 1726, 2589, 3452

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001110100

Octal: 24164

Duodecimal: 5BB0

Hexadecimal: 2874

Square: 107246736

Square Root: 101.76443386566841

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

Triangle T(n,k) = number of minimal covers of an unlabeled n-set that cover k points of that set uniquely, k=0..n. A56885

Number of multigraphs with 4 nodes and n edges. A3082

T(n,k)=Number of (n+3)X(k+3) 0..1 arrays with each row divisible by 15 and column not divisible by 15, read as a binary number with top and left being the most significant bits. A263124

Number of 2 X 2 matrices having all elements in {-n,...,n} and determinant 1. A209982

a(n) = 164·2ⁿ - 140. A305166

a(n) = floor( n^e ), e = 2.718281828... A61293

Let n = Sum_i d_i*10ⁱ (0 <= d_i <= 9) be the decimal expansion of n. Then n is in the sequence if Sum_i d_i*bⁱ divides n for some base b >= 2 in the range max d_i < b < 10. A62010

Numbers n which are a proper multiple (>1) of A068505(n) (= n read in base m+1 where m = largest digit of n). A89584

Numbers k such that there are 9 digits in k² and for each factor f of 9 (1,3) the sum of digit groupings of size f is a square. A153747

a(n) = 10^prime(n-1) mod prime(n)². A265012