Properties of the Number 37243

Thirty-Seven Thousand Two Hundred Forty-Three

Basics

Value: 37242 → 37243 → 37244

Parity: odd

Prime: Yes

Previous Prime: 37223

Next Prime: 37253

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 37243

Divisors: 1, 37243

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000101111011

Octal: 110573

Duodecimal: 19677

Hexadecimal: 917b

Square: 1387041049

Square Root: 192.98445533254744

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) is the n-th prime whose decimal expansion begins with the decimal expansion of n. A77345

Primes of the form n² - 6. A28880

Number of primes in range [2ⁿ+1, 2ⁿ⁺¹] whose binary expansion begins '10' (A080165). A95765

Primes in A103373. A103383

a(1)=1; a(n) = ∑_{1<=k<n, gcd(k,n(n+1)/2)=1} a(k). A125597

Number of integer partitions of n whose product is greater than the product of their multiplicities. A353505

Lesser of consecutive primes whose average is of the form k*(k+2), for some integer k. A242385

Primes p such that 2·p + 43 is a square. A269787

Primes p such that p=prime(k), prime(k+1), and prime(k+2) end in the same digit. A328452

Emirps p such that, if q is the next emirp after p, p·q mod (p+q) and floor(p·q/(p+q)) are both emirps. A350884