Properties of the Number 35078

Thirty-Five Thousand Seventy-Eight

Basics

Value: 35077 → 35078 → 35079

Parity: even

Prime: No

Previous Prime: 35069

Next Prime: 35081

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 17539

Divisors: 1, 2, 17539, 35078

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100100000110

Octal: 104406

Duodecimal: 18372

Hexadecimal: 8906

Square: 1230466084

Square Root: 187.29121709252678

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

Triangle read by rows: T(n,k) = number of permutations p of 1,...,n, with min(|p(i)-p(i-1)|, i=2..n) = k (n>=2, k>=1). A129534

a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 4. A49962

Number of permutations of 1,...,n with at least one pair of adjacent consecutive entries (i.e., of the form k(k+1) or (k+1)k), n >= 2. A129535

Denominators of continued fraction convergents to sqrt(241). A41451

Incrementally largest values of minimal y satisfying the equation x²-D·y²=5, where D is a prime number. A341082

Smaller of two consecutive semiprimes which are anagrams of each other. A228135

Permutation breadth triangle: B(n,k) is the number of permutations w in S_n with breadth(w) = k, where breadth(w) = min({ |i-j|+|w(i)-w(j)| : 1 <= i < j <= n }). A322481

Revert transform of (1 + 3x - x³)/(1 + 4x + 4x² + 2x³). A49146

Numerators of partial sums of Bernoulli numbers B_2n = A000367/A002445. A35078

Number of 3 X n 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3 and at least one element with value (x(i,j)-1) mod 3, and upper left element zero. A231039