Properties of the Number 10839

Ten Thousand Eight Hundred Thirty-Nine

Basics

Value: 10838 → 10839 → 10840

Parity: odd

Prime: No

Previous Prime: 10837

Next Prime: 10847

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 3613

Divisors: 1, 3, 3613, 10839

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001010111

Octal: 25127

Duodecimal: 6333

Hexadecimal: 2a57

Square: 117483921

Square Root: 104.11051820061218

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

Euler transform of Euler totient function φ(n), cf. A000010. A61255

Positions of 3's in A264977; positions of 6's in A277330. A277713

Least positive integer k such that prime(k·n) - 1 = (prime(i·n)-1)*(prime(j·n)-1) for some integers 0 < i < j < k. A257938

Total number of edges in graph formed by the straight line segments connecting the edges of an equilateral triangle with the n-1 points resulting from a subdivision of the sides into n equal pieces. A332376

Triangle read by rows: T(n,k) is the number of ascent sequences of length n with maximal element k-1. A218577

Triangle read by rows: T(n,k) is the number of paths in the first quadrant from (0,0) to (n,k), consisting of steps U=(1,1), D=(1,-1), h=(1,0) and H=(2,0) (0<=k<=n). A132276

Numbers k such that k⁴ contains a pandigital substring. A115934

a(n) is the number of edges formed by n-secting the angles of an equilateral triangle. A335412

Layer counting sequence for hyperbolic tessellation by cuspidal triangles of angles (π/3, π/5, π/7). A54887

Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments. A208181