4414
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6624
- Proper Divisor Sum (Aliquot Sum)
- 2210
- 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
- 2206
- Möbius Function
- 1
- Radical
- 4414
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 170
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 into non-integral powers.at n=7A000397
- Number of maximal collections of pairwise disjoint subsets {X,Y,Z} of {1, 2, ..., n} with X + Y = Z (as in A002849), with the property that n is in one of the subsets.at n=20A002848
- a(n) = round(n*phi^16), where phi is the golden ratio, A001622.at n=2A004951
- a(n) = ceiling(n*phi^16), where phi is the golden ratio, A001622.at n=2A004971
- Coordination sequence occurring in Zeolite Codes AFG, CAN, LIO, LOS.at n=46A008013
- Coordination sequence T11 for Zeolite Code MFI.at n=42A008163
- Coordination sequence for tridymite, lonsdaleite, and wurtzite.at n=41A008264
- a(n) = floor(binomial(n,3)/3).at n=44A011849
- Powers of sqrt(11) rounded down.at n=7A017937
- Powers of sqrt(11) rounded to nearest integer.at n=7A017938
- Powers of fourth root of 11 rounded down.at n=14A018075
- Powers of fourth root of 11 rounded to nearest integer.at n=14A018076
- Coordination sequence T4 for Zeolite Code CGF.at n=46A019454
- Fibonacci sequence beginning 2, 6.at n=15A022112
- a(n) = [ a(n-1)/a(1) ] + [ a(n-2)/a(2) ] + ... + [ a(1)/a(n-1) ], for n >= 3.at n=27A022870
- a(n) = least m such that if r and s in {|F(h+1)-tau*F(h)|: h = 1,2,...,n} satisfy r < s, then r < k/m < s for some integer k, where F = A000045 (Fibonacci numbers) and tau = (1+sqrt(5))/2 (golden ratio).at n=16A024849
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=23A025100
- a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A026519.at n=10A026531
- a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A026536.at n=10A026548
- a(n) = Sum_{k=floor((n+1)/2)..n} T(k,n-k); i.e., a(n) is n-th diagonal sum of left-justified array T given by A027011.at n=19A027022