2944
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6120
- Proper Divisor Sum (Aliquot Sum)
- 3176
- 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
- 1408
- Möbius Function
- 0
- Radical
- 46
- Omega Function (Ω)
- 8
- 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
- 22
- Smith Number
- yes
- 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
- a(n) = floor(1000*log(n)).at n=18A004240
- a(n) = 1000*log(n) rounded to the nearest integer.at n=18A004241
- Number of P-graphs with vertical symmetry.at n=6A007163
- Coordination sequence T2 for Zeolite Code AEI.at n=41A008002
- Number of points of L1 norm 2n in root system version of E_8 lattice.at n=4A010369
- Theta series of lattice Kappa_7.at n=13A015236
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite HEU = Heulandite Ca4[Al8Si28O72].24H2O starting with a T4 atom.at n=11A019135
- Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed).at n=36A023108
- a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A026907.at n=6A026915
- Coordination sequence T1 for Zeolite Code SAT.at n=39A027373
- 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 27.at n=13A031525
- Least Smith number having digital sum A033662(n).at n=6A033663
- Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).at n=13A034072
- Duplicate of A010369.at n=4A035880
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=16A036333
- Base-5 palindromes that start with 4.at n=29A043009
- a(n)=(s(n)+5)/9, where s(n)=n-th base 9 palindrome that starts with 4.at n=23A043075
- Numbers n such that string 4,4 occurs in the base 10 representation of n but not of n-1.at n=29A044376
- Numbers n such that string 4,4 occurs in the base 10 representation of n but not of n+1.at n=29A044757
- Numbers having, in base 14, (sum of even run lengths)=(sum of odd run lengths).at n=29A044885