Properties of the Number 37878

Thirty-Seven Thousand Eight Hundred Seventy-Eight

Basics

Value: 37877 → 37878 → 37879

Parity: even

Prime: No

Previous Prime: 37871

Next Prime: 37879

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 59 × 107

Divisors: 1, 2, 3, 6, 59, 107, 118, 177, 214, 321

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001111110110

Octal: 111766

Duodecimal: 19B06

Hexadecimal: 93f6

Square: 1434742884

Square Root: 194.6227119326005

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

The total element sum of the n-fold f transform applied to the length n sequence of 1's. And f returns a sorted result after multiplying the elements in its input sequence with 1, 2, 3,... in descending size order. A261490

Number of partitions of 3ⁿ into n-th powers. A259796

Solution of the complementary equation a(n) = 2·a(n-1) + b(n-1), where a(0) = 2, a(1) = 5, b(0) = 1, and (a(n)) and (b(n)) are increasing complementary sequences. A295057

p(11p-7) where p is prime. A98998

(1/2)*Sum{|d(i)-e(i)|}, where Sum{d(i)*10ⁱ} is base 10 representation of n and e(i) are digits d(i) in nonincreasing order, for i=0,1,...,m. A37878

Number of 5 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s. A297435