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Properties of the Number 10827

Ten Thousand Eight Hundred Twenty-Seven

Basics

Value: 10826 → 10827 → 10828

Parity: odd

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 3 × 401

Divisors: 1, 3, 9, 27, 401, 1203, 3609, 10827

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101001001011

Octal: 25113

Duodecimal: 6323

Hexadecimal: 2a4b

Square: 117223929

Square Root: 104.05287117614775

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

Smallest of 4 consecutive numbers each divisible by a square. A70284
Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k). A96926
Place n points in general position on each side of an equilateral triangle, and join every pair of the 3·n+3 boundary points by a chord; sequence gives number of vertices in the resulting planar graph. A367117
T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 0,2,1,1,1 for x=0,1,2,3,4. A197889
Number of odd-length integer partitions of n with a unique mode. A363726
Number of partitions of n such that m(1) > m(2), where m = multiplicity. A240056
Expansion of ∏k>=1 1/(1 - xk)d(k-1), where d(k) = number of divisors of k (A000005). A318783
Table read by antidiagonals: Place k points in general position on each side of a regular n-gon and join every pair of the n*(k+1) boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives number of vertices in the resulting planar graph. A367183
Indices where the cumulative sum of cos(2k+1)2k+1 reaches a record low value. A389560
E.g.f. log(sech(x) + tan(x)). A13204