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Properties of the Number 10384

Ten Thousand Three Hundred Eighty-Four

Basics

Value: 10383 → 10384 → 10385

Parity: even

Prime: No

Previous Prime: 10369

Next Prime: 10391

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 4 × 11 × 59

Divisors: 1, 2, 4, 8, 11, 16, 22, 44, 59, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10100010010000

Octal: 24220

Duodecimal: 6014

Hexadecimal: 2890

Square: 107827456

Square Root: 101.90191362285597

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

Number of partitions of n such that the number of parts is divisible by the greatest part. Also number of partitions of n such that the greatest part is divisible by the number of parts. A168659
Number of partitions of n with even minimal and maximal parts. A325346
T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303410
T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock singular. A184686
a(n) = (1/6)*(2·n - 3)*(n + 2)*(n + 1). A58373
Triangle of coefficients of polynomials P(n; x) = Permanent(M), where M=[m(i,j)] is n X n matrix defined by m(i,j)=x if -1<=i-j<=1 else m(i,j)=1. A80018
T(n,k)=Number of nXk 0..4 arrays of sums of 2X2 subblocks of some (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order. A226992
Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 3. A209986
a(n) is the number of edges formed by n-secting the angles of an octagon. A335771
a(n) = ∑i∣n, j∣n, k∣n i·j*k/lcm(i,j,k). A344135