Properties of the Number 34265

Thirty-Four Thousand Two Hundred Sixty-Five

Basics

Value: 34264 → 34265 → 34266

Parity: odd

Prime: No

Previous Prime: 34261

Next Prime: 34267

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 7 × 11 × 89

Divisors: 1, 5, 7, 11, 35, 55, 77, 89, 385, 445

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000010111011001

Octal: 102731

Duodecimal: 179B5

Hexadecimal: 85d9

Square: 1174090225

Square Root: 185.1080765390857

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) is the hafnian of a symmetric Toeplitz matrix M(2n) whose first row consists of a single zero followed by successive positive integers repeated (A004526). A338456

T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their king-move neighbors in a random 0..2 nXk array. A220194

Quasi-Carmichael numbers to base -7: squarefree composites n such that prime p∣n ==> p+7∣n+7. A29567

Triangle read by rows: T(n,k) is the number of Dyck paths with no UUU's and no DDD's, of semilength n having k peak plateaux (0 <= k <= floor(n/3); U=(1,1), D=(1,-1)). A166285

Number of length 2+2 0..n arrays with the sum of second differences squared multiplied by some arrangement of +-1 equal to zero. A250321

Terms of A349937 that are not divisible by 3: numbers k > 1 not divisible by 2 or 3 such that A309906(k-1) < A309906(k) > A309906(k+1). A349941

Expansion of solution to xA(x)(A(x)-x+1)=A(xA(x)). A91600

Number of Dyck paths with no UUU's and no DDD's, of semilength n having no peak plateaux (U=(1,1), D=(1,-1)). A166286

Majority value maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to at least half of their king-move neighbors in a random 0..2 nX4 array. A220193

Number of nonisomorphic synchronizing binary n-state automata without output under input permutations. A230401