4472
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9240
- Proper Divisor Sum (Aliquot Sum)
- 4768
- 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
- 2016
- Möbius Function
- 0
- Radical
- 1118
- 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
- 90
- Smith Number
- yes
- 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
- Cubes written backwards.at n=13A004165
- Number of Twopins positions.at n=18A005685
- Expansion of log(1+x)*exp(tan(x)).at n=8A009419
- Expansion of tanh(log(1+sinh(x))).at n=8A009772
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/26 ).at n=20A011936
- Number of parts in all partitions of all the numbers in {1,2,...,n} into distinct parts.at n=26A015724
- Number of n-move self-avoiding knight paths on 5 X 5 board, beginning at corner.at n=8A025589
- a(n) = (d(n)-r(n))/2, where d = A026049 and r is the periodic sequence with fundamental period (1,0,0,1).at n=25A026050
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=19A027662
- a(n) = floor(10000/sqrt(n)).at n=4A033433
- Multiplicity of highest weight (or singular) vectors associated with character chi_10 of Monster module.at n=37A034398
- Number of partitions of n into parts not of the form 9k, 9k+2 or 9k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 3 are greater than 1.at n=39A035941
- Bisection of A028289.at n=37A038390
- Triangles in open triangular matchstick arrangement (triangle minus one side) of side n.at n=26A045947
- Number of fibered rational knots with n crossings.at n=20A051449
- a(1) = 1; a(n+1) = sum of terms in continued fraction for the sum of the continued fractions, [a(1); a(2), a(3), ..., a(n)] and [0; a(1), a(2), a(3), ..., a(n)].at n=36A058082
- a(n) = Sum_{k=1..n} d(k)*prime(k), where d(k) = A001223.at n=23A064009
- a(1) = 1; for n>1, a(n) = smallest number that is not a sum or product of any subset of the numbers a(1) to a(n-1).at n=14A065026
- Smallest number whose square has sum of digits A056991(n).at n=24A067179
- Index of smallest triangular number with n digits.at n=7A068092