Properties of the Number 37927

Thirty-Seven Thousand Nine Hundred Twenty-Seven

Basics

Value: 37926 → 37927 → 37928

Parity: odd

Prime: No

Previous Prime: 37907

Next Prime: 37951

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 17 × 23 × 97

Divisors: 1, 17, 23, 97, 391, 1649, 2231, 37927

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010000100111

Octal: 112047

Duodecimal: 19B47

Hexadecimal: 9427

Square: 1438457329

Square Root: 194.748555835467

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

Sum T(n,k) of the k-th last entries in all blocks of all set partitions of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A286897

Composite numbers k such that k-1 divides 2^k-2. A330382

Number of (w,x,y) with all terms in {0,...,n} and w ≠ min(|w-x|, |x-y|). A213499

Total sum of the block maxima minus the block minima over all partitions of [n]. A367850

a(n) = (1/2)*Li_-n-1(1/2) - Li_-n(1/2), where Li_n(x) is the polylogarithm function. A343583

Smallest number m such that (2n-1)*m has only odd digits. A296009

Number of strong fixed blocks in all the permutations of [n] (see first comment for definition). A186374

Trajectory of 24 under prime factor concatenation procedure. A37927