4791
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6392
- Proper Divisor Sum (Aliquot Sum)
- 1601
- 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
- 3192
- Möbius Function
- 1
- Radical
- 4791
- 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
- 33
- 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
- Coordination sequence T1 for Coesite.at n=36A008267
- Fibonacci sequence beginning 0, 3.at n=17A022086
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 46.at n=17A031544
- Floor( 7*n^2/2 ).at n=37A032525
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(3,5) < cn(2,5) = cn(4,5).at n=69A036867
- Positive numbers having the same set of digits in base 7 and base 9.at n=27A037439
- Coordination sequence T6 for Zeolite Code ESV.at n=46A038413
- a(n) = 1 + Sum_{i=1..n} phi(i)^2.at n=31A049454
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 71 ).at n=23A063344
- a(n) = (n-1)*(n-2)^4 - A028294(n), for n > 4, with a(1) = a(2) = 0, a(3) = 2, and a(4) = 48.at n=7A075690
- Wythoff difference array, D={d(i,j)}, by antidiagonals.at n=58A080164
- Markoff numbers (A002559) multiplied by 3.at n=14A086326
- Number of generations needed to reach an oscillator, starting with a segment of n consecutive live cells and applying the LongLife 2D rule (see comment).at n=42A086993
- Expansion of (1+x^2)/(1+x^2+x^5).at n=57A088002
- Triangle read by rows: binary products of Fibonacci numbers.at n=46A094565
- Terms n are such that exactly half[=24] of the {210n+r} set is prime. Here r runs through the reduced residue system mod 210 (RRS[210]).at n=47A095393
- a(0) = 1; for n>0, a(n) = 3*Fibonacci(n).at n=17A097135
- Expansion of g.f. (7+6*x-6*x^2-3*x^3)/((x^2+x-1)*(x^2-x-1)).at n=15A099255
- Square array T(n,d) read by antidiagonals: number of structurally-different guillotine partitions of a d-dimensional box in R^d by n hyperplanes.at n=23A103209
- a(n) = (1/n) * Sum_{i=0..n-1} C(n,i)*C(n,i+1)*2^i*3^(n-i), a(0)=1.at n=5A103210