5441
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5442
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5440
- Möbius Function
- -1
- Radical
- 5441
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 719
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form 3*k^2 - 3*k + 23.at n=37A007637
- Numbers n such that n, 2n+1, and 4n+3 all prime.at n=30A007700
- Expansion of e.g.f. sinh(sinh(x)*exp(x)).at n=7A009599
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among quadruples.at n=16A015644
- Numbers k such that the continued fraction for sqrt(k) has period 63.at n=9A020402
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=16A023281
- Number of distinct products ijk with 0 <= i,j,k <= n.at n=44A027426
- Least k such that A033178(k)=n.at n=40A038004
- Sums of 5 distinct powers of 4.at n=18A038473
- Primes p such that p+2 and 2p+1 are also prime.at n=39A045536
- Primes of the form n*phi(n)+1 where phi(n) is the Euler function.at n=33A046062
- p, p+2 and p+8 are primes.at n=40A046134
- Primes p such that p+2 and p+8 are also primes but p+6 is not.at n=30A049437
- Primes such that the sum of the factorials of the digits is a perfect square.at n=17A052279
- A simple grammar: partial sums of A052870.at n=10A052829
- Fourth term of strong prime quintets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=15A054811
- Primes p such that x^17 = 2 has no solution mod p.at n=42A058999
- Primes p such that p^7 reversed is also prime.at n=37A059700
- Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms.at n=14A059762
- Primes p such that x^5 == 2 (mod p) has five solutions.at n=34A059858