1338
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2688
- Proper Divisor Sum (Aliquot Sum)
- 1350
- 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
- 444
- Möbius Function
- -1
- Radical
- 1338
- Omega Function (Ω)
- 3
- 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
- 70
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Convolution of A002024 with itself.at n=40A004797
- Representation degeneracies for Neveu-Schwarz strings.at n=18A005295
- The limiting sequence [A259095(r(r+1)/2-s,r), s=0,1,2,...,r-1] for very large r.at n=26A005576
- Coordination sequence T1 for Zeolite Code BRE.at n=24A008058
- Coordination sequence T1 for Zeolite Code GOO.at n=25A008111
- Coordination sequence T1 for Zeolite Code GIS.at n=27A008266
- Coordination sequence T1 for Zeolite Code -PAR.at n=26A009855
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=36A011914
- Aliquot sequence starting at 966.at n=1A014363
- A015938(n)-2^n.at n=21A015939
- Magic numbers: atoms with full shells containing any of these numbers of electrons are considered electronically stable.at n=17A018227
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite FER = Ferrierite Na2Mg2[Al6Si30O72].18H2O starting with a T2 atom.at n=10A019133
- Least k such that A020951(k) = n.at n=35A020953
- Numbers k such that Fibonacci(k) == -8 (mod k).at n=19A023166
- a(n) = floor(Sum_{m=1..n} Stirling2(n,m) / binomial(n-1,m-1)).at n=9A024422
- [ (4th elementary symmetric function of P(n))/(3rd elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, p(0) = 1.at n=50A024536
- Least sum of 4 distinct nonzero squares in exactly n ways.at n=48A025417
- Coordination sequence T1 for Zeolite Code ITE.at n=25A027369
- a(n) = n^2 + n + 6.at n=36A027691
- a(n) = least k such that 1+2+...+k >= 1^3 + 2^3 + ... + n^3.at n=42A027924