5443
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5444
- 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
- 5442
- Möbius Function
- -1
- Radical
- 5443
- 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
- 67
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 720
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of (psi(x^2) / psi(-x))^3 in powers of x where psi() is a Ramanujan theta function.at n=12A001937
- Number of two-rowed partitions of length 3.at n=32A001993
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=46A023247
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=23A023274
- a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is an integer, s(0) = 0, |s(1)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2, s(n) = 1. Also a(n) = T(n,n-1), where T is the array defined in A025177.at n=8A025179
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 73.at n=12A031571
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=5A031822
- Numbers k such that 29*2^k+1 is prime.at n=21A032364
- Numbers whose maximal base-6 run length is 4.at n=36A037987
- Numbers having four 3's in base 5.at n=28A043364
- Numbers having four 1's in base 6.at n=23A043376
- Discriminants of imaginary quadratic fields with class number 9 (negated).at n=24A046006
- Third member of a sexy prime quadruple: value of p+12 such that p, p+6, p+12 and p+18 are all prime.at n=19A046123
- Largest prime substring in 2^n (or 0 if none exist).at n=25A046268
- Palindromes in factorial base.at n=49A046807
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=10A052233
- Fifth term of strong prime quintets: p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1).at n=15A054812
- 5-morphic but not bimorphic, automorphic nor trimorphic.at n=31A056036
- Numbers k such that k^4 == 1 (mod 5^4).at n=34A056091
- Primes p whose period of reciprocal equals (p-1)/6.at n=34A056211