1988
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4032
- Proper Divisor Sum (Aliquot Sum)
- 2044
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 840
- Möbius Function
- 0
- Radical
- 994
- Omega Function (Ω)
- 4
- 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
- 24
- 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
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=39A001973
- Number of partitions of n into nonprime parts.at n=45A002095
- Sum of digits of n-th term in Look and Say sequence A005150.at n=24A004977
- Taylor series related to one in Ramanujan's Lost Notebook.at n=19A006305
- Sum of the first n primes.at n=33A007504
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=11A008457
- Coordination sequence T2 for Zeolite Code -CLO.at n=39A009851
- Coordination sequence T2 for Zeolite Code -PAR.at n=32A009856
- Coordination sequence T5 for Zeolite Code VET.at n=27A009906
- Pisot sequence E(8,10), a(n) = floor( a(n-1)^2/a(n-2) + 1/2 ).at n=22A010916
- Composite numbers that are equal to the sum of the first k composites for some k.at n=40A013921
- Seven iterations of Reverse and Add are needed to reach a palindrome.at n=26A015986
- Coordination sequence T4 for Zeolite Code TER.at n=30A016436
- a(n) = [ (2nd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+1 positive integers congruent to 2 mod 3}.at n=51A024398
- a(n) = number of (s(0), s(1), ..., s(2n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n, s(0) = 3, s(2n) = 7. Also a(n) = T(2n,n-2), where T is defined in A026022.at n=5A026031
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=30A026062
- a(n) = A027052(n, 2n-5).at n=7A027061
- Sequence satisfies T^2(a)=a, where T is defined below.at n=39A027594
- a(n) = n^2 + n + 8.at n=44A027693
- "DHK" (bracelet, identity, unlabeled) transform of 0,1,1,1,...at n=24A032244