Properties of the Number 26783

Twenty-Six Thousand Seven Hundred Eighty-Three

Basics

Value: 26782 → 26783 → 26784

Parity: odd

Prime: Yes

Previous Prime: 26777

Next Prime: 26801

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 26783

Divisors: 1, 26783

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100010011111

Octal: 64237

Duodecimal: 135BB

Hexadecimal: 689f

Square: 717329089

Square Root: 163.6551251870836

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254422

Primes p = p_n+1 such that p_n + p_n+2 = 2·p_n+1 + 12. A95673

Primes p such that A001175(p) = 2*(p+1)/9. A308786

Number of powerful uniform rooted trees with n nodes. A318689

Irregular triangle read by rows: T(n,k) is the number of polysticks of size k, i.e., connected subsets of k edges, of the n X n flat torus, up to cyclic shifts and reflections of rows and columns, as well as interchange of rows and columns; 1 <= k <= 2·n². A385390

Least prime p such that σ(x)=σ(p) has exactly n solutions. A115374

Primes p such that both π(p) and the concatenation of π(p) and p are prime, where π is the prime counting function. A155032

Primes with the property that the sum of the cubes of their digits plus the prime equals another prime squared. A228195

Primes arising in A085042: a(n) = the n-th partial sum of A085042. A85043

Primes p such that (p-1)*p*(p+1)-p-2 and (p-1)*p*(p+1)+p+2 are primes. A154942