4424
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9600
- Proper Divisor Sum (Aliquot Sum)
- 5176
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1872
- Möbius Function
- 0
- Radical
- 1106
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 139
- 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
- Squares written in base 6.at n=32A001741
- Number of bifix-free (or primary, or unbordered) words of length n over a two-letter alphabet.at n=14A003000
- Powers of 2 written in base 6.at n=10A004645
- Coordination sequence T1 for Zeolite Code EUO.at n=41A008095
- Coordination sequence T3 for Zeolite Code EUO.at n=41A008098
- Coordination sequence T5 for Zeolite Code GOO.at n=45A008115
- Theta series of {D_7}* lattice.at n=40A008423
- Theta series of D_7 lattice.at n=5A008429
- Theta series of {D_7}^{+} packing.at n=40A008435
- Number of ways of writing n as a sum of 7 squares.at n=10A008451
- Coordination sequence T1 for Keatite.at n=37A009844
- Coordination sequence T5 for Zeolite Code CGF.at n=46A019455
- Numbers having three 4's in base 10.at n=10A043507
- Number of binary words of length n (beginning with 0) whose autocorrelation function is the indicator of a singleton.at n=14A045690
- a(n) = T(n,n-2), array T as in A050143.at n=5A050148
- Numbers k such that x = 2^k-2 satisfies phi(x)+2 = phi(x+2).at n=19A050475
- Number of basis partitions of n+16 with Durfee square size 4.at n=34A053798
- McKay-Thompson series of class 30B for the Monster group with a(0) = 0.at n=29A058613
- Multiples of 7 containing only even digits.at n=44A061826
- a(n) is the number of solutions to x+y+z = 0 mod 3, where 1 <= x < y < z <= n.at n=44A061866