Properties of the Number 37914

Thirty-Seven Thousand Nine Hundred Fourteen

Basics

Value: 37913 → 37914 → 37915

Parity: even

Prime: No

Previous Prime: 37907

Next Prime: 37951

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 71 × 89

Divisors: 1, 2, 3, 6, 71, 89, 142, 178, 213, 267

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010000011010

Octal: 112032

Duodecimal: 19B36

Hexadecimal: 941a

Square: 1437471396

Square Root: 194.7151766041877

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

a(n) = ∑_k=1..n σ(k)*σ(2·k), where σ(n) = A000203(n) is the sum of the divisors of n. A347108

a(n) = a(n-1) + a(n-3) + a(n-5) - a(n-6), a(0) = a(1) = a(2) = 1, a(3) = 2, a(4) = 3, a(5) = 5. A278706

Numbers n such that 9·10ⁿ + 6·R_n - 5 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A103103

Sum over all partitions of n of the sum of the parts that are smaller than the largest part. A116688

Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only either as two by three or three by two blocks. A146157

a(n) is the least base b>=2 such that the number of distinct digits in the base b representation of n is maximized. A37914