Properties of the Number 89349

Eighty-Nine Thousand Three Hundred Forty-Nine

Basics

Value: 89348 → 89349 → 89350

Parity: odd

Prime: No

Previous Prime: 89329

Next Prime: 89363

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 29 × 79

Divisors: 1, 3, 13, 29, 39, 79, 87, 237, 377, 1027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110100000101

Octal: 256405

Duodecimal: 43859

Hexadecimal: 15d05

Square: 7983243801

Square Root: 298.91303083003925

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) = ∑_{1 <= i, j, k <= n} gcd(i,j,k). A344522

Stable Poincaré series [or Poincare series] for Lie algebra of type A (i.e., the variety of complex k X k matrices with distinct eigenvalues). A98787

a(n) is the number of regions into which three-dimensional Euclidean space is divided by n-1 planes parallel to each face of a regular tetrahedron with edge length n, dividing the edges into unit segments. A364401

Triangle read by rows: counts the permutations of partitions described in A083480. Both Arrays have shape sequence A083479. A89349