Properties of the Number 75036

Seventy-Five Thousand Thirty-Six

Basics

Value: 75035 → 75036 → 75037

Parity: even

Prime: No

Previous Prime: 75029

Next Prime: 75037

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 13 ² × 37

Divisors: 1, 2, 3, 4, 6, 12, 13, 26, 37, 39

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010010100011100

Octal: 222434

Duodecimal: 37510

Hexadecimal: 1251c

Square: 5630401296

Square Root: 273.9269975741712

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

Let f(0)=1, f(1)=t, f(n+1) = (f(n)²+tⁿ)/f(n-1). f(t) is a polynomial with integer coefficients. Then a(n) = f(n) when t=3. A81704

a(1) = 1; for n >= 1, a(n+1) is smallest number such that the sums of any one, two or three of a(1), ..., a(n) are distinct (repetitions not allowed). A62065

Number of cyclic subgroups of the group GL(2, Z(n)), counting conjugates as distinct. A316560

a(n) = Fibonacci(n + 2) + floor(n/2). A167270

Number of 4Xn 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero. A301793

Number of permutations w in S_n that form Boolean intervals [s, w] in the Bruhat order for every simple reflection s in the support of w. A331347

Smaller of two smallest consecutive numbers with 2n divisors. A75036

Number of symmetrically unique Dyck paths of semilength n and height ten. A291894

Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0. A254973

Number of nX4 0..1 arrays with every element equal to 0, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero. A301604