Properties of the Number 36821

Thirty-Six Thousand Eight Hundred Twenty-One

Basics

Value: 36820 → 36821 → 36822

Parity: odd

Prime: Yes

Previous Prime: 36809

Next Prime: 36833

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 36821

Divisors: 1, 36821

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000111111010101

Octal: 107725

Duodecimal: 19385

Hexadecimal: 8fd5

Square: 1355786041

Square Root: 191.8879881597595

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

Numbers n such that n¹+n+1, n²+n+1, n³+n+1 and n⁴+n+1 are all prime. A219117

Primes p such that ∑_{k=PreviousPrime(p)..p} d(k) = ∑_{k=p..NextPrime(p)} d(k), where d(k) is the number of divisors function A000005. A353552

Balanced primes of order one ending in 1. A303092

Primes of the form 47·n² - 1701·n + 10181. A128878

Convolution square of A003114. A145467

a(n) = ∑_k=0..n Stirling2(n,k) * A000041(k) * k^k. A316145

Triangle T(n, k) read by rows; given by [1, 1, 1, 1, 1, 1, 1, 1, ...] δ [1, 0, 2, 0, 2, 0, 3, 0, 2, 0, 4, 0, 2, 0, ...] (A000005 interspersed with 0's) where δ is Deléham's operator defined in A084938. A85853

Primes p such that p¹+p+1, p²+p+1, p³+p+1, and p⁴+p+1 are all prime. A236045

a(n) equals the smallest Sophie Germain prime q such that pi_p,2p+1(q,10,(1,3)) - pi_p,2p+1(q,10,(3,1)) = n, where pi_p,2p+1(q,10,(b,c)) equals the number of Sophie Germain primes A005384(i) such A005384(i) <= q and (A005384(i),A005384(i+1)) == (b,c) (mod 10). A333084

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