Properties of the Number 35042

Thirty-Five Thousand Forty-Two

Basics

Value: 35041 → 35042 → 35043

Parity: even

Prime: No

Previous Prime: 35027

Next Prime: 35051

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 2503

Divisors: 1, 2, 7, 14, 2503, 5006, 17521, 35042

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100011100010

Octal: 104342

Duodecimal: 18342

Hexadecimal: 88e2

Square: 1227941764

Square Root: 187.19508540557362

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

Numbers k such that k³ is a cube whose digits occur with an equal minimum frequency of 2. A52051

T(n,k)=Number of nXk 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4. A240321

Numerators of continued fraction convergents to sqrt(631). A42210

a(n) is least k such that k and 7k are anagrams in base n (written in base 10). A23099

Lexicographical-support sequence T(n,k), n,k nonnegative: total number of checks required by a "lexicographical" algorithm to find out which rows and columns of each of the n by k zero-one matrices are nonzero. A58547

Number of nX3 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4. A240317

Number of nX6 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4. A240320

θ series of 9-dimensional odd unimodular lattice E₈ + Z. A71967

a(n) = 2ⁿ - C(n,0)- ... - C(n,9). A35042