Properties of the Number 39117

Thirty-Nine Thousand One Hundred Seventeen

Basics

Value: 39116 → 39117 → 39118

Parity: odd

Prime: No

Previous Prime: 39113

Next Prime: 39119

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 17 × 59

Divisors: 1, 3, 13, 17, 39, 51, 59, 177, 221, 663

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001100011001101

Octal: 114315

Duodecimal: 1A779

Hexadecimal: 98cd

Square: 1530139689

Square Root: 197.7801810091193

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

Total number of vertices formed by intersections among sides and straight "chords" in a right triangle when each side is divided by vertices into n equal segments. A274585

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) < number of distinct parts of p. A241818

4·a(n) is the maximum possible determinant of a 3 X 3 matrix whose entries are 9 consecutive primes starting with prime(n). A340923

a(n) = greatest residue of S(n,m) mod C(n-1,m-1), for m = 1,2,...,n; S(n,m) are Stirling numbers of second kind. A24424

Number of compositions (ordered partitions) of n into parts > 1 such that no two adjacent parts are equal (Carlitz compositions). A298732

Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 4 (mod 5). A35565

Number of n X n binary arrays with all ones connected only in a 1000-1001-1111 pattern in any orientation. A147131

Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 1000-1001-1111 pattern in any orientation. A147133

Numbers n such that n·A007954(n) contains the same distinct digits as n. A248039

Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of the n*(k+1) boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of vertices in the resulting planar graph. A367322