Properties of the Number 37890

Thirty-Seven Thousand Eight Hundred Ninety

Basics

Value: 37889 → 37890 → 37891

Parity: even

Prime: No

Previous Prime: 37889

Next Prime: 37897

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 421

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001010000000010

Octal: 112002

Duodecimal: 19B16

Hexadecimal: 9402

Square: 1435652100

Square Root: 194.65353837010002

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

Number of ternary Lyndon words of length n with trace 0 and subtrace 1 over GF(3). A53560

Number of ternary Lyndon words of length n with trace 1 and subtrace 2 over GF(3). Same as the number of ternary Lyndon words of length n with trace 2 and subtrace 2 over GF(3). A53564

Number of partitions p of n such that the number of distinct parts is not a part and max(p) - min(p) is not a part. A241390

a(n) = 1458·n - 18. A157508

Append three digits, each increasing by one modulo 10 from the last digit of the nonnegative integers. 0 -> 123, 1 -> 1234 2 -> 2345, ... , 9 -> 9012, 10 -> 10123, etc. A167231

Let (p,p+2) be the n-th twin prime pair. a(n) is the least integer r > 1 for which the interval (r·p, r*(p+2)) contains no primes, or a(n)=0, if no such r exists. A218769

a(n)=(1/2)*Sum{|d(i)-e(i)|} where Sum{d(i)*4ⁱ} is the base 4 representation of n and e(i) are the digits d(i) in reverse order. A37890