4216
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
- 16
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 4424
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1920
- Möbius Function
- 0
- Radical
- 1054
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 82
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Octagonal pyramidal numbers: a(n) = n*(n+1)*(2*n-1)/2.at n=15A002414
- Cluster series for bond percolation problem on square lattice.at n=8A003198
- Bosonic string states.at n=32A005308
- Primitive pseudoperfect numbers.at n=58A006036
- Coordination sequence T6 for Zeolite Code BOG.at n=46A008054
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (F(2), F(3), ...), t = A001950 (upper Wythoff sequence).at n=17A024594
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = A001950 (upper Wythoff sequence).at n=16A025108
- Character of extremal vertex operator algebra of rank 17/2.at n=4A028526
- a(n) = (2*n+1)*(9*n+1).at n=15A033573
- Expansion of Product_{d | 48} theta_3(q^d).at n=46A033760
- Coordination sequence T1 for Zeolite Code AFN.at n=46A038403
- Numerators of continued fraction convergents to sqrt(669).at n=6A042286
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=3A045247
- 11-gonal (or hendecagonal) numbers: a(n) = n*(9*n-7)/2.at n=31A051682
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(17)).at n=42A052479
- Regard A064413 as giving a permutation of the positive integers; sequence gives second infinite cycle, beginning at its smallest term, 73.at n=39A064667
- Number of binary arrangements without adjacent 1's in n X n rhombic hexagonal grid torus.at n=4A066866
- Numbers k such that phi(4k-1) = sigma(k).at n=2A067235
- Primitive abundant numbers (abundant numbers all of whose proper divisors are deficient numbers).at n=43A071395
- a(n) is the sum of the preceding terms that are coprime to n.at n=22A082865