Properties of the Number 36616

Thirty-Six Thousand Six Hundred Sixteen

Basics

Value: 36615 → 36616 → 36617

Parity: even

Prime: No

Previous Prime: 36607

Next Prime: 36629

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 23 × 199

Divisors: 1, 2, 4, 8, 23, 46, 92, 184, 199, 398

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000111100001000

Octal: 107410

Duodecimal: 19234

Hexadecimal: 8f08

Square: 1340731456

Square Root: 191.35307679783986

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

Number of solutions of +- 1 +- 2 +- ... +- (n-1) +- n = 0 in which the partial sums +- 1 +- ... +- k (1<=k<=n) are all distinct. A15818

Let K be a local ring with a principal maximal ideal J of nilpotent degree 4 with |K/J|>2; a(n) = number of D-invariant ideals in the ring R_n(K,J). A221704

Number of partitions n such that the multiplicity of the number of odd parts is a part. A240541

Numbers n such that both φ(n) and ψ(n) are perfect squares. A291549

Numbers n such that (n + prime(n)), (n+1 + prime(n+1)), (n+2 + prime(n+2)) and (n+3 + prime(n+3)) are divisible by 5. A107582

G.f. satisfies: A(x) = A(x²)³ + x·A(x²)². A195200

Number of 4Xn 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281059

G.f. = continued fraction: A(x)=1/(1-x²-x/(1-x²-x²/(1-x²-x³/(1-x²-x⁴/(...))))). A88356

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281056

Number of 5-ary rooted trees with n nodes and height at most 5. A36616