4963
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5680
- Proper Divisor Sum (Aliquot Sum)
- 717
- 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
- 4248
- Möbius Function
- 1
- Radical
- 4963
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 41
- Smith Number
- no
- 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
- no
- Odd
- yes
Appears in sequences
- If x and y are terms, so is x*y + 9.at n=30A009350
- Expansion of log(1+sinh(x))/exp(x).at n=7A009356
- Pisot sequence P(7,11), a(0)=7, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1). Agrees with A021014 only for n <= 20.at n=15A021013
- a(n)=a(n-1)+a(n-2)-a(n-4)+a(n-5).at n=15A021014
- Expansion of 1/((1-x)*(1-4*x)*(1-6*x)*(1-12*x)).at n=3A021844
- Positive numbers having the same set of digits in base 6 and base 8.at n=32A037435
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,3.at n=4A037621
- Denominators of continued fraction convergents to sqrt(881).at n=9A042703
- Coordination sequence T2 for Zeolite Code SFE.at n=46A057318
- Number of 3 X 3 matrices with nonnegative integer entries and all row sums equal to n, up to row and column permutation.at n=9A058389
- McKay-Thompson series of class 21C for the Monster group.at n=19A058565
- Triangle T(n,m) of number of labeled n-node T_0-hypergraphs with m distinct hyperedges (empty hyperedge excluded), m=0,1,...,2^n-1.at n=21A059087
- Numbers k such that (10^k-1)/9 + 4*10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime).at n=6A077783
- a(n) = ceiling(((1*n^0 + 1*n^1 + 2*n^2 + 4*n^3)/(1*n^0 + 2*n^1 + 1*n^2))^2).at n=18A085505
- Triangle (read by rows) in which the number of entries in a row only increases by 1 every other row, the first column and the 'diagonal' is set to all 1's and a(i,j) = a(i-1,j) + a(i-1,j-1) + a(i-2,j-1) + a(i-3,j-1) for other entries.at n=55A096966
- Pairwise sums of general ballot numbers (A002026).at n=9A102071
- a(n) = a(n-1) + a([n/2]) + 1, a(1) = 1.at n=41A102378
- Semiprimes a such that there exist three semiprimes b, c and d with a^3=b^3+c^3+d^3.at n=31A113490
- a(n + 4) = (n + 2)*(a(n + 3) - a(n) + 1) for n > 3, a(0) = a(1) = a(2) = a(3) = 1.at n=9A121987
- Sums of three consecutive hexagonal numbers.at n=28A129109