Properties of the Number 84769

Eighty-Four Thousand Seven Hundred Sixty-Nine

Basics

Value: 84768 → 84769 → 84770

Parity: odd

Prime: No

Previous Prime: 84761

Next Prime: 84787

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 103 × 823

Divisors: 1, 103, 823, 84769

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101100100001

Octal: 245441

Duodecimal: 41081

Hexadecimal: 14b21

Square: 7185783361

Square Root: 291.15116348728543

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

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals: A(n,k) = [x^n²] theta₃(x)^k/(1 - x), where theta₃() is the Jacobi θ function. A302997

Partial sums of A000141. A175361

Number of points in Z⁶ of norm <= n. A55412

Number of polygons formed by infinite lines when connecting all vertices and all points that divide the sides of an equilateral triangle into n equal parts. A344279

Number of compositions of n into powers of 3 and doubled powers of 3. A235684

Number of points in Zⁿ of norm <= 5. A55429

Number of (6+1) X (n+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258559

Concatenation of prime factors of n is a cube. A38841

a(n) = P_n(9), where P_n is n-th Legendre polynomial; also, a(n) = central coefficient of (1 + 9·x + 20·x²)ⁿ. A84769