1518
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3456
- Proper Divisor Sum (Aliquot Sum)
- 1938
- 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
- 440
- Möbius Function
- 1
- Radical
- 1518
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- a(n) is the number of partitions of 3n that can be obtained by adding together three (not necessarily distinct) partitions of n.at n=8A002220
- Numbers k such that 15*2^k + 1 is prime.at n=21A002258
- Denominators of Bernoulli numbers B_{2n}.at n=55A002445
- Smallest integer m such that the product of every 4 consecutive integers > m has a prime factor > prime(n).at n=8A003033
- Smallest integer m such that the product of every 4 consecutive integers > m has a prime factor > prime(n).at n=9A003033
- a(n) = 1000*log_10(n) rounded down.at n=32A004225
- a(n) = n*(n+4)*(n+5)/6.at n=18A005586
- From random walks on complete directed triangle.at n=14A007829
- Coordination sequence T1 for Zeolite Code AFS.at n=30A008023
- Coordination sequence T1 for Zeolite Code BPH.at n=30A008055
- Coordination sequence T7 for Zeolite Code MEL.at n=25A008156
- Orders of non-cyclic simple groups (divided by 4).at n=12A008976
- Sum along upward diagonal of Pascal triangle from (but not including) center.at n=21A010756
- a(n) = floor(n*(n-1)*(n-2)/7).at n=23A011889
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=24A011890
- Expansion of Molien series for automorphism group (2.Weyl(E6)) of E6 lattice.at n=39A014977
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=35A017843
- Pisot sequence T(4,6), a(n) = floor(a(n-1)^2/a(n-2)).at n=21A020747
- Pisot sequence T(6,9), a(n) = floor(a(n-1)^2/a(n-2)).at n=20A020751
- a(n) = n*(21*n + 1)/2.at n=12A022279