Properties of the Number 26884

Twenty-Six Thousand Eight Hundred Eighty-Four

Basics

Value: 26883 → 26884 → 26885

Parity: even

Prime: No

Previous Prime: 26881

Next Prime: 26891

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 11 × 13 × 47

Divisors: 1, 2, 4, 11, 13, 22, 26, 44, 47, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 110100100000100

Octal: 64404

Duodecimal: 13684

Hexadecimal: 6904

Square: 722749456

Square Root: 163.9634105524766

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) = ∑_k=1..n lcm(n,k). A51193

Smallest number m such that m²+1 is divisible by A002144(n)² (= squares of primes congruent to 1 mod 4). A59321

Triangle T(n,k) read by rows of the smallest n-gonal number greater than 1 that is also k-gonal, or 0 if none exists, for 3 <= k <= n. A189216

Number of bipartite partitions. A2763

9-gonal heptagonal numbers (A000566). A48921

Numbers n such that n² + 1 has two distinct prime divisors less than n. A263876

Heptagonal numbers with only even digits. A117994

a(n) = ∑_k=0..n-1 {[x^k] A(x)^n-k} * {[x^n-k-1] A(x)^k+1} for n>0, with a(0)=1, where g.f. A(x) = ∑_n>=0 a(n)*xⁿ. A161881

a(n) = the smallest k such that k²+1 = p·A002144(n)², p prime of A002144 . A174492

a(n) = p(n+1)² + 2·p(n) + 1; p(n) is the n-th prime number and n >= 1. A155819