Properties of the Number 37871

Thirty-Seven Thousand Eight Hundred Seventy-One

Basics

Value: 37870 → 37871 → 37872

Parity: odd

Prime: Yes

Previous Prime: 37861

Next Prime: 37879

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 37871

Divisors: 1, 37871

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001111101111

Octal: 111757

Duodecimal: 19ABB

Hexadecimal: 93ef

Square: 1434212641

Square Root: 194.60472758902853

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

G.f. satisfies: A(x) = 1 + x·A(x)/(1 - x²*A(x)²). A101785

Number of partitions of [n] whose block minima sum to k, where k is chosen so as to maximize this number. A365903

Primes of the form (prime(prime(k)) + prime(prime(k+1)))/2. A98042

Triangle read by rows: T(n,k) is the number of Dyck n-paths containing k even-length ascents (0 <= k <= floor(n/2)). A143950

a(1)=1, a(2)=2, a(3)=3, a(n) = ceiling(sqrt(a(n-1)*a(n-2)*a(n-3))), n>3. A258967

Prime septets of form k, k+2100, k+4200, k+6300, k+8400, k+10500, k+12600. A123107

(1/2)*Sum{|d(i)-e(i)|}, where Sum{d(i)*3ⁱ} is base 3 representation of n and e(i) are digits d(i) in nonincreasing order, for i=0,1,...,m. A37871

Smallest integer that is a sum of 2·k consecutive primes for each k = 1..n. A222592

Number of nX3 0..2 arrays avoiding the pattern z z+1 z horizontally and z z-1 z vertically. A207984