Properties of the Number 27921

Twenty-Seven Thousand Nine Hundred Twenty-One

Basics

Value: 27920 → 27921 → 27922

Parity: odd

Prime: No

Previous Prime: 27919

Next Prime: 27941

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 41 × 227

Divisors: 1, 3, 41, 123, 227, 681, 9307, 27921

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110100010001

Octal: 66421

Duodecimal: 141A9

Hexadecimal: 6d11

Square: 779582241

Square Root: 167.09578091621583

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 nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nXk array. A219773

Numerators of the fractional coefficients of the square-root of the prime power series: ∑_n=0..inf p_n xⁿ, where p_n is the n-th prime and p₀ is defined to be 1. A73749

G.f.: ∑_k>=0 x^k * ∏_j=1..5·k (1 + x^j)/(1 - x^j). A385091

Consecutive states of the linear congruential pseudo-random number generator 20403·s mod 2¹⁵ when started at s=1. A384196

Expansion of q^-2/5 * (r(q) - r(q¹¹))¹² in powers of q where r() is the Rogers-Ramanujan continued fraction. A285580

Number of nX6 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX6 array. A219771

Number of 6Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 6Xn array. A219777

Terminating decimals of length n of form p/5^q using at most one of each nonzero digit. A27905

Number of n X n arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 n X n array. A219767

E.g.f.: A(x) = exp(x·exp(x·exp(2·x*exp(3·x*exp(...exp(n·x*exp(...))...))))). A189897