Properties of the Number 21955

Twenty-One Thousand Nine Hundred Fifty-Five

Basics

Value: 21954 → 21955 → 21956

Parity: odd

Prime: No

Previous Prime: 21943

Next Prime: 21961

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 4391

Divisors: 1, 5, 4391, 21955

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101010111000011

Octal: 52703

Duodecimal: 10857

Hexadecimal: 55c3

Square: 482022025

Square Root: 148.1721971221322

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 nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250994

Number of inversion sequences of length n avoiding the consecutive patterns 000 and 100. A328440

Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n. A114169

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction. A250527

a(n) = n³ + 3. A84378

Number of (unlabeled) rooted trees with n leaf nodes and without unary nodes or outdegrees larger than nine. A292215

Number of partitions of n containing a prime number of distinct primes and an arbitrary number of nonprimes. A344715

Number of (n+1)X(3+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction. A250522

Number of (n+1)X(3+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250989

Number of (3+1)X(n+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250997