4980
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 9132
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1312
- Möbius Function
- 0
- Radical
- 2490
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 90
- 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
- Leading term of Stirling's approximation to n!, sqrt(2*Pi)*n^(n+(1/2))/e^n, rounded down.at n=7A005393
- Leading term of Stirling's approximation to n!, sqrt(2*Pi)*n^(n+(1/2))/e^n, rounded to nearest integer.at n=7A005394
- Coordination sequence T7 for Zeolite Code MFS.at n=44A008179
- Coordination sequence T1 for Zeolite Code SGT.at n=44A008229
- T(n,1) + T(n,2) + ... T(n,n), where T is the array in A026098.at n=19A026101
- Number of pairs {i,j}, i>1, j>1, such that ij < n^2.at n=40A037048
- Denominators of continued fraction convergents to sqrt(620).at n=7A042191
- Number of periodic palindromes using exactly four different symbols.at n=11A056490
- Coordination sequence T6 for Zeolite Code MTF.at n=42A057309
- Convolution of Fibonacci F(n+1), n>=0, with F(n+5), n>=0.at n=10A067333
- First differences of A073708.at n=22A073709
- First differences of A073708.at n=23A073709
- Numbers n such that n and the n-th prime have the same digits.at n=5A074350
- Least k such that k*n^n +/- 1 are twin primes.at n=21A076810
- Number of squarefree integers in closed interval [2^n, -1 + 2*2^n], i.e., among 2^n consecutive numbers beginning with 2^n.at n=13A077643
- Numbers k whose digits are all contained, in any order, within the digits of prime(k).at n=44A080794
- Number of 5 X n (0,1) matrices such that each row and each column is nondecreasing or nonincreasing.at n=5A086115
- Sum of the elements in the coprime subsets of the integers 1 to n.at n=12A087081
- Numbers n such that every digit of n and n-th prime contains a loop (only digits 0,4,6,8,9 in n and n-th prime).at n=7A107624
- Take an n X n square grid of points in the plane; a(n) = number of non-isomorphic ways to divide the points into two sets using a straight line.at n=18A116696