Properties of the Number 41729

Forty-One Thousand Seven Hundred Twenty-Nine

Basics

Value: 41728 → 41729 → 41730

Parity: odd

Prime: Yes

Previous Prime: 41719

Next Prime: 41737

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 41729

Divisors: 1, 41729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1010001100000001

Octal: 121401

Duodecimal: 20195

Hexadecimal: a301

Square: 1741309441

Square Root: 204.27677303110113

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) = (4·n³ - 6·n² + 8·n + 3)/3. A161712

Primes of the form 256·k + 1. A208178

a(n) = ∑_{1 <= i, j, k, l <= n} gcd(i,j,k,l). A344523

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

Primes of the form 512n+257. A105131

Larger of 3 consecutive prime numbers such that p1·p2·p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (δ) = p2 - p1, d2 (δ) = p3 - p2. A153405

Primes of the form 384·k + 257. A229856

a(n) = ∑_k=0..n (k+3) * binomial(4·n-3·k+3,n-k)/(4·n-3·k+3). A390810

Primes that remain prime through 4 iterations of the function f(x) = 9x + 8. A23326

Constant term of the reduction by x²->x+1 of the polynomial p(n,x) defined at Comments. A193048