Properties of the Number 34802

Thirty-Four Thousand Eight Hundred Two

Basics

Value: 34801 → 34802 → 34803

Parity: even

Prime: No

Previous Prime: 34781

Next Prime: 34807

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 17401

Divisors: 1, 2, 17401, 34802

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011111110010

Octal: 103762

Duodecimal: 18182

Hexadecimal: 87f2

Square: 1211179204

Square Root: 186.55294154743314

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

Number of ways of writing n as a sum of n squares. A66535

Number of ways of writing n as a sum of 9 squares. A8452

θ series of {D₉}* lattice. A8424

Compositions of n into parts 3, 5 and 7. A245367

Number of ways to write n² as an ordered sum of n² squares of integers. A361431

Expansion of (theta₃(z⁴)³ + theta₂(z⁴)³)³. A28696

T(n,k) = [xⁿ] JacobiTheta3(0,x)^k, for 0 <= k <= n, triangle read by rows. A319935

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, 0, 1), (0, 1, -1), (1, -1, 0), (1, 0, 1)}. A150489

Array: T(d,n) = number of ways of writing n as a sum of d squares, read by ascending antidiagonals. A122141

A(n, k) = [x^k] JacobiTheta3(x)ⁿ, square array read by descending antidiagonals, A(n, k) for n >= 0 and k >= 0. A319574