6328
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
- 13680
- Proper Divisor Sum (Aliquot Sum)
- 7352
- 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
- 2688
- Möbius Function
- 0
- Radical
- 1582
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 80
- 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
- a(n) = p*(p-1)/2 for p = prime(n).at n=29A008837
- Expansion of e.g.f.: sin(x)*cos(log(1+x)).at n=8A009532
- Expansion of e.g.f. sinh(sin(x)*exp(x)).at n=8A009594
- Theta series of 6-dimensional lattice P6.4 = A6,2.at n=26A029690
- (prime(n)-1)(prime(n)-3)/8.at n=47A030005
- a(n) = (prime(n)-3)*(prime(n)-5)/8.at n=48A030007
- Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.at n=27A032540
- a(n) = 2*n*(4*n + 1).at n=28A033585
- Number of n-node rooted identity trees of height at most 7.at n=15A038086
- Numbers whose base-5 representation contains exactly three 0's and two 3's.at n=15A045201
- Centered 9-gonal (also known as nonagonal or enneagonal) numbers. Every third triangular number, starting with a(1)=1.at n=37A060544
- a(n) = 25*n*(n + 1)/2 + 3.at n=22A061793
- Reversion of y - y^2 + y^3 - y^4.at n=13A063019
- Triangular numbers which are a concatenation of two or more positive triangular numbers.at n=18A068144
- a(n) = 2*(n-1)*(n^2 + 1).at n=14A071233
- Rearrangement of triangular numbers such that sum of two consecutive terms is a prime.at n=41A073655
- Sum of squares of digits of n is equal to the largest prime factor of n.at n=20A074302
- Abundant triangular numbers.at n=41A074315
- Triangular numbers which are 5-almost primes.at n=22A076579
- Binomial coefficients C(p, k), 2<=k<=p-2, sorted, with duplicates removed, p being prime.at n=43A082581