Properties of the Number 35064

Thirty-Five Thousand Sixty-Four

Basics

Value: 35063 → 35064 → 35065

Parity: even

Prime: No

Previous Prime: 35059

Next Prime: 35069

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 487

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000100011111000

Octal: 104370

Duodecimal: 18360

Hexadecimal: 88f8

Square: 1229484096

Square Root: 187.2538384119268

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01. A251065

Expansion of η(q⁶) * η(q¹⁰) / (η(q) * η(q¹⁵)) in powers of q. A94023

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction. A250527

T(n,k)=Number of nXk 0..2 arrays with row sums nondecreasing and column sums unimodal. A223815

Irregular triangular array, read by rows: row n shows the coefficients of the polynomial p(n,x) defined in Comments. A329431

Coefficients of polynomials (in descending powers of x) P(n,x) := 2 + P(n-1,x)², where P(1,x) = x + 2. A158983

Number of n X 2 0..2 arrays with successive rows and columns fitting to straight lines with nondecreasing slope, with a single point array taken as having zero slope. A222993

Expansion of q * (χ(-q³) * χ(-q⁵)) / (χ(-q) * χ(-q¹⁵))² in powers of q where χ() is a Ramanujan θ function. A123630

Square array A(n,k), n >= 0, k >= 1, read by antidiagonals upwards, where A(n,k) = sum of unimodal products of length n and bound k. A287532

Expansion of f(-q⁶) * f(-q¹⁰) / (f(q) * f(q¹⁵)) in powers of q where f() is a Ramanujan θ function. A145728