2430
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 6552
- Proper Divisor Sum (Aliquot Sum)
- 4122
- 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
- 648
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 164
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = (11*n+1)*(11*n+10).at n=4A001536
- Expansion of e.g.f. exp(2*(exp(x) - 1)).at n=6A001861
- Restricted partitions.at n=11A001981
- Smallest integer m such that the product of every 3 consecutive integers > m has a prime factor > prime(n).at n=6A003032
- Smallest integer m such that the product of every 3 consecutive integers > m has a prime factor > prime(n).at n=7A003032
- a(n) = 10*3^n.at n=5A005052
- a(n) = binomial(n+3,6) + binomial(n+1,5) + binomial(n,5).at n=7A005732
- A traffic light problem: expansion of 2/(1 - 3*x)^3.at n=4A006043
- Number of nonseparable toroidal tree-rooted maps with n + 2 edges and n + 1 vertices.at n=7A006414
- Denominators of generalized Bernoulli numbers.at n=7A006568
- Shifts left when inverse Moebius transform applied twice.at n=31A007557
- Coordination sequence T8 for Zeolite Code PAU.at n=36A008226
- Coordination sequence T4 for Zeolite Code iRON.at n=35A009884
- Expansion of 1/((1-3x)(1-6x)(1-9x)).at n=3A017933
- Egyptian fractions: number of partitions of 1 into reciprocals of positive integers <= n.at n=17A020473
- Sum of digits in n-th term of A022482.at n=23A022487
- Triangle T(n,k) read by rows, arising in enumeration of catafusenes.at n=40A024462
- Numbers of form 3^i*10^j, with i, j >= 0.at n=17A025616
- a(n) is the sum of squares of the numbers in row n of array T given by A026120.at n=5A027328
- Sums of five consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2.at n=20A027578