Properties of the Number 26426

Twenty-Six Thousand Four Hundred Twenty-Six

Basics

Value: 26425 → 26426 → 26427

Parity: even

Prime: No

Previous Prime: 26423

Next Prime: 26431

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 73 × 181

Divisors: 1, 2, 73, 146, 181, 362, 13213, 26426

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110011100111010

Octal: 63472

Duodecimal: 13362

Hexadecimal: 673a

Square: 698333476

Square Root: 162.5607578722491

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 compositions of n into divisors of n. A100346

Number of compositions (ordered partitions) of n into powers of 3. A78932

Decimal concatenations of the 38 quintuples (d1,d2,d3,d4,d5) with elements in {2,4,6} for which there exists a prime p >= 7 such that the differences between the 6 consecutive primes starting with p are (d1,d2,d3,d4,d5). A78870

Triangle formed by coefficients of the expansion of p(x, n), where p(x,n) = (1+x-x²)ⁿ⁺¹*∑_{j >= 0} (j+1)ⁿ*(-x + x²)^j. A156890

a(n+1) = A154771(a(n)) = sum of all distinct "valid substrings" of a(n); a(1)=10 (least nontrivial choice). A154770

Square roots of highly composite numbers, floored down: a(n) = A000196(A002182(n)). A263096

Satisfies A(x) = f(x) + x·A(x)*f(x)², where f(x) = ∑_k>=0 x^(3ⁿ-1/2) and f(x)² = 2 - f(x²) + 2*∑_n>0 x^A023745(n). Also, A(x) = f(x)*B(x), where B(x) = ∑_k>=0 A087218(k)*x^k. A87219

Number of compositions (ordered partitions) of n into odd divisors of n. A284466

Number of compositions (ordered partitions) of nⁿ into powers of n. A337990

a(n) = integer nearest a(n-1)/(sqrt(6) - 2), where a(0) = 1. A24562