4917
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
- 8
- Divisor Sum
- 7200
- Proper Divisor Sum (Aliquot Sum)
- 2283
- 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
- 2960
- Möbius Function
- -1
- Radical
- 4917
- Omega Function (Ω)
- 3
- 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
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Coefficient of x^6 in expansion of (1+x+x^2)^n.at n=8A005714
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=61A013583
- a(n) = Sum_{i=1..n-1} a(i)*a(n-1-i), with a(0) = 1, a(1) = 3.at n=8A014432
- Powers of fourth root of 22 rounded to nearest integer.at n=11A018109
- Powers of fourth root of 22 rounded up.at n=11A018110
- a(n) = n*(9*n + 1)/2.at n=33A022267
- a(n) = Sum_{1 <= i < j <= n} (j-i)^3.at n=9A024166
- Duplicate of A014432.at n=8A025236
- a(n) = Sum_{k=0..n} (k+1) * A026615(n,k).at n=9A026960
- Numbers whose set of base-6 digits is {3,4}.at n=42A032830
- Numbers having three 6's in base 9.at n=21A043479
- Larger members of g-reduced amicable pairs a < b such that sigma(a) = sigma(b) = a + b + gcd(a,b).at n=18A054572
- Numbers k such that 30*R_k + 7 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=12A056680
- McKay-Thompson series of class 46C for the Monster group.at n=48A058689
- Sum of first n perfect powers.at n=29A076408
- Number of primes corresponding to n-th primeval number A072857(n).at n=47A076497
- Duplicate of A024166.at n=9A085437
- Column 6 of triangle A091602.at n=36A091609
- Number of primes less than 10^n having at least one digit 1.at n=4A091645
- Form array in which n-th row is obtained by expanding (1+x+x^2)^n and taking the 5th column from the center.at n=6A098470