Properties of the Number 36099

Thirty-Six Thousand Ninety-Nine

Basics

Value: 36098 → 36099 → 36100

Parity: odd

Prime: No

Previous Prime: 36097

Next Prime: 36107

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 191

Divisors: 1, 3, 7, 9, 21, 27, 63, 189, 191, 573

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110100000011

Octal: 106403

Duodecimal: 18A83

Hexadecimal: 8d03

Square: 1303137801

Square Root: 189.99736840282816

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

Sum of squares of three consecutive primes. A133529

Number of compositions of n whose run-lengths are unimodal. A332726

Number of integer partitions of n with more adjacent equal parts than distinct parts. A360254

Forests of k increasing plane unary-binary trees on n nodes. Generalized Stirling numbers of the second kind associated with A185415. A185422

Numbers such that σ(φ(τ(n)))=τ(φ(σ(n))). A226119

Least common multiple of 5·n+1 and 5·n-1. A282285

a(n) = (n-1)*(n+2)*(n² + n + 2)/4. A168566

Expansion of ∏_k>=1 1/((1 - x^k)*(1 - x^4·k)). A318027

Starts of runs of 3 consecutive anti-τ numbers (A046642). A341780

Centered cube numbers: (n+1)²¹ + n²¹. A36099