Properties of the Number 34099

Thirty-Four Thousand Ninety-Nine

Basics

Value: 34098 → 34099 → 34100

Parity: odd

Prime: No

Previous Prime: 34061

Next Prime: 34123

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 13 × 43 × 61

Divisors: 1, 13, 43, 61, 559, 793, 2623, 34099

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010100110011

Octal: 102463

Duodecimal: 17897

Hexadecimal: 8533

Square: 1162741801

Square Root: 184.6591454545374

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

Molien series for invariants of finite Coxeter group A₁₂. A266781

Number of integer compositions of n that are the first sums of some composition with all parts > 1. A391235

Numbers k such that j(k)*φ(k) = σ(φ(k)), j(k) = A033831(k). A33856

Number of (w,x,y,z) with all terms in {1,...,n} and w·x+y·z<=n². A212150

Number of free polyforms made of T-pipes connected end-to-end (not perpendicular). A390515

Reverse of smallest prime factor of k = largest prime factor of k+1; a(1)=1. A71392

Numbers k such that (58·10^k + 329)/9 is prime. A294570

T(n,k) = number of ways to arrange k indistinguishable points on an n X n X n triangular grid so that no four points are in the same row or diagonal. A194485

Fractional part of square root of a(n) starts with digit 3. A34099

Number of (n+1) X (6+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits. A262330