4771
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5152
- Proper Divisor Sum (Aliquot Sum)
- 381
- 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
- 4392
- Möbius Function
- 1
- Radical
- 4771
- 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
- 103
- 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
- Number of two-rowed partitions of length 3.at n=31A001993
- a(n) = 10000*log_10(n) rounded down.at n=2A004228
- a(n) = 10000*log_10(n) rounded to the nearest integer.at n=2A004229
- Numbers having period-6 5-digitized sequences.at n=32A031190
- Denominators of continued fraction convergents to sqrt(797).at n=7A042537
- a(n) = n*2^n + 2*n^2 + 1.at n=9A046916
- Numbers n such that 289*2^n-1 is prime.at n=14A050903
- Expansion of e.g.f. x/(1 - x) + exp(x/(1 - x)).at n=6A052866
- a(n) = number of permutations of {1,...,n} which are twice but not 3-times reformable.at n=7A055459
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 61 ).at n=31A063334
- a(1) = 2; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=39A074338
- Interprimes (A024675) which are of the form s*prime, s=13.at n=3A075288
- Expansion of (1-x)^(-1)/(1-2*x-2*x^2-x^3).at n=8A077845
- Numbers k such that there are exactly 8 numbers j for which binomial(k, floor(k/2)) / binomial(k,j) is an integer, i.e., A080383(k) = 8.at n=33A080386
- Values of r such that N(r)/r^2 > Pi, where N(r) is the number of integer lattice points (x,y) inside or on a circle of radius r.at n=32A093832
- A puzzle: reverse digits of n^2 + 10.at n=42A097990
- A puzzle: reverse digits of n^2 + 10.at n=42A097991
- 63-gonal numbers: a(n) = n*(61*n - 59)/2.at n=13A098140
- Triangle read by rows: T(n,k) is the number of ordered trees having n edges and k branches of length 1.at n=69A101276
- Least positive k such that 2^n + k is a Chen prime and 2^n + k + 2 is a brilliant number.at n=43A109364