Properties of the Number 34159

Thirty-Four Thousand One Hundred Fifty-Nine

Basics

Value: 34158 → 34159 → 34160

Parity: odd

Prime: Yes

Previous Prime: 34157

Next Prime: 34171

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 34159

Divisors: 1, 34159

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000010101101111

Octal: 102557

Duodecimal: 17927

Hexadecimal: 856f

Square: 1166837281

Square Root: 184.82153554172197

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

Primes p such that p, p+12, p+24 are consecutive primes. A52188

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 3 or 4 neighboring 1s. A297749

Inverse Euler transform of n!. Also the number of sequences of permutations with no global descents which are Lyndon (smallest in lexicographic order of all cyclic shifts of the sequences) where the size of the sequence = sum of sizes of the permutations. A112354

Primes that remain prime through 3 iterations of function f(x) = 7x + 6. A23290

Inverse Euler transform of (-1)ⁿ * n!. A305786

Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 3 or 4 neighboring 1s. A297746

Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 3 or 4 neighboring 1s. A297753

Primes that can be generated by the concatenation in base 3, in descending order, of two consecutive integers read in base 10. A287301

Number of n X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 3 or 4 neighboring 1's. A297743

G.f. A(x) satisfies A(x) = 1 + x*(A(x)² - A(x)³ + A(x)⁴). A219537