4410
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
- 36
- Divisor Sum
- 13338
- Proper Divisor Sum (Aliquot Sum)
- 8928
- 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
- 1008
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 46
- 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
- Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0.at n=36A000931
- Numbers k such that 15*2^k + 1 is prime.at n=26A002258
- Coefficients of Legendre polynomials.at n=4A002463
- Sum of digits of n-th term in Look and Say sequence A005150.at n=27A004977
- For n = 0, 1, 2, a(n) = n; thereafter, a(n) = 2*a(n-1) - a(n-2) + a(n-3).at n=16A005314
- a(n) = n*(n+1)^2/2.at n=20A006002
- a(n) = n*(n+1)*(n+8)/6.at n=27A006503
- Expansion of a modular function.at n=17A006709
- Coordination sequence for {A_6}* lattice.at n=5A008534
- Take every 5th term of Padovan sequence A000931, beginning with the second term.at n=7A012781
- Bisection of A001400.at n=40A014125
- Coordination sequence T2 for Zeolite Code CZP.at n=43A019457
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=34A020333
- Pisot sequences E(5,9), P(5,9).at n=12A020713
- Pisot sequences E(7,9), P(7,9).at n=23A020720
- 7 times triangular numbers: 7*n*(n+1)/2.at n=35A024966
- a(n) = 5*(n+1)*binomial(n+4,5)/2.at n=5A027801
- a(n) = 14*(n+1)*binomial(n+4,8).at n=2A027804
- a(n) = (1/2)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2).at n=43A028724
- a(n) = floor(5*n^2/2).at n=42A032526