Properties of the Number 36146

Thirty-Six Thousand One Hundred Forty-Six

Basics

Value: 36145 → 36146 → 36147

Parity: even

Prime: No

Previous Prime: 36137

Next Prime: 36151

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 11 × 31 × 53

Divisors: 1, 2, 11, 22, 31, 53, 62, 106, 341, 583

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110100110010

Octal: 106462

Duodecimal: 18B02

Hexadecimal: 8d32

Square: 1306533316

Square Root: 190.12101409365562

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

a(n) = 1331·n - 1122. A157441

Number of series-reduced rooted trees with n unlabeled leaves where the number of distinct branches under each node is <= 2. A317098

Number of 3-regular cubic partitions of n. A335602

Numbers n such that φ(4n+1) = σ(n). A67234

Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259004

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259006

a(n) = 2ⁿ mod 139. A36146

a(0)=1; for n > 0, a(n) = ∑_k=0..n-1 floor(n/a(k)). A138812

Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically. A207349