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Properties of the Number 10826

Ten Thousand Eight Hundred Twenty-Six

Basics

Value: 10825 → 10826 → 10827

Parity: even

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 5413

Divisors: 1, 2, 5413, 10826

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101001001010

Octal: 25112

Duodecimal: 6322

Hexadecimal: 2a4a

Square: 117202276

Square Root: 104.04806581575652

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

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2p+1 and p is the unique integer such that 2p < n - 1 <= 2p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 4. A50052
a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2p+1 and 2p < n - 1 <= 2p+1, starting with a(1) = a(2) = 1 and a(3) = 4. A50036
a(n) = a(n-1) + a(m) for n >= 3, where m = 2·n - 3 - 2p+1 and p is the unique integer such that 2p < n - 1 <= 2p+1, starting with a(1) = 1 and a(2) = 3. A50068
Number of partitions of n such that 2*(greatest part) <= (number of parts). A237752
Numbers k such that the k-th composition in standard order has even length and alternately equal and unequal parts, i.e., all run-lengths equal to 2. A351011
a(n) = binary code (shown here in decimal) of the position of natural number n in the beanstalk-tree A218776. A218615
a(n) = binary code (shown here in decimal) of the position of the predecessor of the natural number pair (2n,2n+1) in the compact beanstalk-tree A218780. A218791
Numbers missing from A134419 despite satisfying the necessary congruence conditions (see comments). A274471
Matrix square of triangle A063967. A91700
a(n) is the smallest integer k such that the n-th (backward) difference of the partition sequence A000041 is positive from k onwards. A155861