4796
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9240
- Proper Divisor Sum (Aliquot Sum)
- 4444
- 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
- 2160
- Möbius Function
- 0
- Radical
- 2398
- Omega Function (Ω)
- 4
- 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
- 72
- 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
- Convolution of A000203 with itself.at n=21A000385
- a(n) = 22*a(n-1) - 3*a(n-2) + 18*a(n-3) - 11*a(n-4). Deviates from A007699 at the 1403rd term.at n=2A007698
- Pisot sequence E(10,219): a(n) = nearest integer to a(n-1)^2 / a(n-2), starting 10, 219, ... Deviates from A007698 at 1403rd term.at n=2A007699
- Number of lines through exactly 7 points of an n X n grid of points.at n=48A018814
- a(n) = floor(Sum_{1<=i<j<=n} (sqrt(j)-sqrt(i))^2).at n=43A025196
- a(n) = Sum_{k=0..n} (k+1) * A026648(n,k).at n=9A026975
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=22A027662
- Number of ways to partition n elements into pie slices of different sizes of at least 2 allowing the pie to be turned over.at n=37A032230
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 4).at n=39A035541
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(2,5) <= cn(1,5) and cn(2,5) <= cn(4,5)).at n=43A036808
- Denominators of continued fraction convergents to sqrt(673).at n=8A042295
- Starting from generation 6 add previous and next term yielding generation 7.at n=20A048453
- Sequence is defined by property that binomial transform of (a0,a1,a2,a3,...) = (a0,a0,a1,a1,a2,a2,a3,a3,...).at n=16A051165
- Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives i values.at n=30A053719
- a(n) = 4*n^2 - 3*n + 1.at n=35A054552
- Number of primitive (period n) periodic palindromic structures using exactly four different symbols.at n=15A056521
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 87 ).at n=23A063360
- Product of n-th prime number and n-th composite number.at n=28A067563
- Determinant of the n X n matrix whose element (i,j) equals f(|i-j|) where f(n) is 1 if the sum of middle divisors (A071090) > 0, else 0.at n=23A071548
- a(1)=1; a(n+1) is the smallest integer > a(n) such that Sum_{k=a(n)..a(n+1)} 1/sqrt(k) > Pi.at n=44A073347