Properties of the Number 37818

Thirty-Seven Thousand Eight Hundred Eighteen

Basics

Value: 37817 → 37818 → 37819

Parity: even

Prime: No

Previous Prime: 37813

Next Prime: 37831

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 11 × 191

Divisors: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001001110111010

Octal: 111672

Duodecimal: 19A76

Hexadecimal: 93ba

Square: 1430201124

Square Root: 194.46850644770223

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

Row sums of the power tree A114622. A114624

Number of Dyck paths of semilength n having exactly ten (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1). A243779

Number of binary strings of length n with no substrings equal to 0011 or 0101. A164406

Number of n X 2 0..2 arrays with rows and columns in nondecreasing order. A184130

To find the next term, multiply the number obtained by reading the even digits in order by the number obtained by reading the odd digits in order. A122474

Poincaré series [or Poincare series] P(T_5,2; x). A124617

Number of i such that d(i) > d(i-1), where ∑_i=0..m d(i)*3ⁱ is the base-3 representation of n. A37818

T(n,k)=Number of nXk 0..2 arrays with rows and columns in nondecreasing order. A184137

Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 0 vertically. A207663