5886
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13200
- Proper Divisor Sum (Aliquot Sum)
- 7314
- 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
- 1944
- Möbius Function
- 0
- Radical
- 654
- Omega Function (Ω)
- 5
- 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
- yes
- 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
- 173
- 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 a modular function for gamma_0(6).at n=16A006708
- a(n) = p*(p-1)/2 for p = prime(n).at n=28A008837
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AHT = AlPO4-H2 [Al6P6O12].8H2O starting from a T2 atom.at n=5A018975
- Expansion of 1/((1-x)(1-2x)(1-9x)(1-12x)).at n=3A021304
- Convolution of (F(2), F(3), F(4), ...) and A000201.at n=13A023653
- a(n) = 2*n*(4*n + 1).at n=27A033585
- a(n) = C(n+2,3) + 2*C(n,2) + 2*(n-2).at n=29A034857
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=20A038852
- Numbers ending with '6' that are the difference of two positive cubes.at n=25A038861
- Numerators of continued fraction convergents to sqrt(328).at n=2A041618
- Binomial coefficients formed from consecutive primes: a(n) = binomial( prime(n+1), prime(n) ).at n=27A058077
- a(n) = 49*(n*(n+1)/2) + 6.at n=15A061792
- Number of ways to place 3 nonattacking queens on a 3 X n board.at n=21A061989
- Numbers k such that Euler phi(k) / Carmichael lambda(k) = 18.at n=29A066697
- Triangular numbers whose index is a multiple of the sum of their digits.at n=23A067520
- Triangular numbers of the form 6*k.at n=36A069497
- Numbers k such that gcd(k, reverse(k)) = 27 = 3^3, where reverse(x) = A004086(x).at n=10A072016
- Smallest multiple of (n+1)-st prime which is == 1 mod n-th prime.at n=27A073604
- Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum for each group.at n=17A074128
- Abundant triangular numbers.at n=39A074315