Properties of the Number 27721

Twenty-Seven Thousand Seven Hundred Twenty-One

Basics

Value: 27720 → 27721 → 27722

Parity: odd

Prime: No

Previous Prime: 27701

Next Prime: 27733

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 19 × 1459

Divisors: 1, 19, 1459, 27721

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110001001001

Octal: 66111

Duodecimal: 14061

Hexadecimal: 6c49

Square: 768453841

Square Root: 166.49624620393098

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) = (3 + 2·n + 6·n² + 4·n³)/3. A166464

a(n) = 1 + lcm(1, 2, ..., n) = 1 + A003418(n). A75059

Centered 44-gonal numbers. A195318

Numbers k such that A(k+1) = A(k) + 1, where A() = A005101() are the abundant numbers. A169822

a(n) = ∑_i=0..n digsum₉(i)³, where digsum₉(i) = A053830(i). A231686

Numbers n of the form p²-p-1 = A165900(p), for prime p, such that n²-n-1 = A165900(n) is also prime. A237527

Expansion of e.g.f. 1 / (1 + x - sinh(x)). A332258

a(n) = 1 + lcm(1..k) where k is the n-th prime power A000961(n). A51452

Numbers k for which d(k-1) + d(k+1) is a record, where d(k) is the number of divisors of k. A189828

Number of (w,x,y,z) with all terms in {0,...,n} and w=max{w,x,y,z}-min{w,x,y,z}; i.e., the range of (w,x,y,z) is its first term. A212744