Properties of the Number 41759

Forty-One Thousand Seven Hundred Fifty-Nine

Basics

Value: 41758 → 41759 → 41760

Parity: odd

Prime: Yes

Previous Prime: 41737

Next Prime: 41761

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 41759

Divisors: 1, 41759

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010001100011111

Octal: 121437

Duodecimal: 201BB

Hexadecimal: a31f

Square: 1743814081

Square Root: 204.3501896255543

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

Values·for records of the minima of the positive distance d between the ninth power of a positive integer·and the square of an integer y such that d = x⁹ - y² (x <> k² and y <> k⁹). A179791

Expansion of ∏_{r = 1 or not a perfect power} 1/(1 - x^r). A305630

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of some of the consecutive step patterns UUD, UDU, DUU (U=up, D=down); triangle T(n,k), n>=0, 0<=k<=max(0,n-3), read by rows. A231384

Primes p such that 2·prime(p) + 1 = prime(q) for some prime q. A261361

Lesser p of twin primes (p,q) such that there exists an integer between sqrt(2p) and sqrt(2q). A145701

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 16 : primes in A146339. A146361

Lesser of consecutive primes whose sum is of the form k*(k+2), for some integer k. A242384

E.g.f. A(x) satisfies: Laplace(A(x)) = ∑_n>=0 Laplace(A(x)ⁿ) * xⁿ. A204190

Number of permutations of [n] with exactly n-3 (possibly overlapping) occurrences of some of the consecutive step patterns UUD, UDU, DUU (U=up, D=down). A231410

Numbers n such that 8·10ⁿ + 2·R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A103075