Properties of the Number 1741

One Thousand Seven Hundred Forty-One

Basics

Value: 1740 → 1741 → 1742

Parity: odd

Prime: Yes

Previous Prime: 1733

Next Prime: 1747

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 1741

Divisors: 1, 1741

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011001101

Octal: 3315

Duodecimal: 1011

Hexadecimal: 6cd

Square: 3031081

Square Root: 41.72529209005013

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Centered square numbers: a(n) = 2·n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values. A1844

Euclid-Mullin sequence: a(1) = 2, a(n+1) is smallest prime factor of 1 + ∏_k=1..n a(k). A945

First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2). A54800

Initial prime in set of 4 consecutive primes with common difference 6. A33451

Primes p such that q = (p² + 1)/2 is also a prime. A48161

a(0) = 1, a(1) = 4, and a(n) = a(n-1) + a(n-2) for n >= 2. A285

Primes of the form j² + (j+1)². A27862

Primes p whose base-3 expansion is also the decimal expansion of a prime. A65721

Finitary primes. Primes of finitary index. A277098

Primes of the form x² + 45y². A107152