4378
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7200
- Proper Divisor Sum (Aliquot Sum)
- 2822
- 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
- 1980
- Möbius Function
- -1
- Radical
- 4378
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 33
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of partitions of n that do not contain 1 as a part.at n=38A002865
- Numbers that are the sum of 6 positive 7th powers.at n=13A003373
- a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=22A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=22A004946
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=23A007811
- Coordination sequence T3 for Zeolite Code NON.at n=40A008214
- If a, b in sequence, so is ab+6.at n=40A009307
- Coordination sequence T5 for Zeolite Code RSN.at n=43A009889
- Expansion of g.f. 1/((1-x)*(1-6*x)*(1-7*x)*(1-9*x)).at n=3A023950
- Least term in period of continued fraction for sqrt(n) is 6.at n=24A031430
- Multiplicity of highest weight (or singular) vectors associated with character chi_20 of Monster module.at n=36A034408
- Numbers n such that Fibonacci(n) is not squarefree, but for all proper divisors k of n, Fibonacci(k) is squarefree.at n=19A065069
- Number of partitions of n including 3, but not 1.at n=40A085811
- Radius of inscribed circle within primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=29A089551
- Number of partitions of n into parts not less than the smallest prime factor of n.at n=37A097360
- Positions of occurrences of the natural numbers as fourth subsequence in A100035.at n=44A100039
- Numbers that are the least element of a k-cycle (k > 1) of permutation A114650.at n=45A114727
- Number of partitions of n with unique smallest part and unique largest part.at n=37A117298
- Moessner triangle based on primes.at n=16A125312
- The Wiener index of a chain of n squares joined at vertices (i.e., joined like <><><>...<>; here <> is a square!).at n=10A143943