Properties of the Number 37181

Thirty-Seven Thousand One Hundred Eighty-One

Basics

Value: 37180 → 37181 → 37182

Parity: odd

Prime: Yes

Previous Prime: 37171

Next Prime: 37189

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 37181

Divisors: 1, 37181

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100111101

Octal: 110475

Duodecimal: 19625

Hexadecimal: 913d

Square: 1382426761

Square Root: 192.8237537234456

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

Primes of the form (4·n²-8·n-9)/3. A154616

a(n) = 5ⁿ mod 2ⁿ. A29757

a(n) is the first prime p such that the sum of 2·n consecutive primes starting at p is q*(q+1) where q is prime, or 0 if there is no such p. A338989

Square root of A030693. A30694

Largest prime·such that x/(n^k), rounded up, is 1 or a prime for all positive integer values of k. A128110

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

Smallest number k such that k² begins with n³. A197722

Decimal expansion of constant z = ∑_n>=1 {(5/2)ⁿ} * (2/5)ⁿ, where {x} is the fractional part of x. A264920

Incorrect version of A107357. A37181

Number of (n+1)X4 binary arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace. A185744