Properties of the Number 37989

Thirty-Seven Thousand Nine Hundred Eighty-Nine

Basics

Value: 37988 → 37989 → 37990

Parity: odd

Prime: No

Previous Prime: 37987

Next Prime: 37991

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 7 × 67

Divisors: 1, 3, 7, 9, 21, 27, 63, 67, 81, 189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010001100101

Octal: 112145

Duodecimal: 19B99

Hexadecimal: 9465

Square: 1443164121

Square Root: 194.90767044936945

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 maximal sum-free subsets of {1,2,...,n}. A121269

a(n) = least natural number k such that f(k) begins a maximal zigzag of length n in the prime gaps function f(x) = p(x+1)-p(x), where p(x) denotes the x-th prime. (Cf. A066485.) A66918

Positive integers m with 2^m-1*φ(m) - 1 prime, where φ(.) is Euler's totient function. A236375

Starting positions of strings of three 4's in the decimal expansion of π. A83615

a(n) is the smallest number such that a(n)*n is an anagram of a(n)*3. A175692

The Wiener index of Wang's helicene-based dendrimer defined pictorially as DNS₂[n] in the Shabani et al. reference. A224461

Diagonal of the rational function 1/(1 - x - y - x y - x z - y z + x y z). A274667

Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero. A298723

Numbers whose maximal base-7 run length is 2. A37989