6825
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 13888
- Proper Divisor Sum (Aliquot Sum)
- 7063
- 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
- 2880
- Möbius Function
- 0
- Radical
- 1365
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 119
- 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
- no
- Odd
- yes
Appears in sequences
- Number of ways of placing n labeled balls into 3 indistinguishable boxes with at least 2 balls in each box.at n=4A000478
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=32A002597
- Expansion of (1-x)^(-3) * (1-x^2)^(-2).at n=25A002624
- Sum of 10 nonzero 8th powers.at n=12A003388
- a(n) = n*(n+1)*(n+2)^2/6.at n=13A004320
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=12A005231
- Odd primitive abundant numbers.at n=9A006038
- Number of stable forests with n nodes.at n=14A006544
- Number of polynomials of degree n over GF(2) in which the degrees of all irreducible factors are distinct.at n=14A007839
- Triangle T(n,k) of associated Stirling numbers of second kind, n >= 2, 1 <= k <= floor(n/2).at n=22A008299
- a(n) = n*(9*n - 1)/2.at n=39A022266
- a(n) = n*(31*n-1)/2.at n=21A022288
- a(n) = (n+1)*binomial(n+1,12).at n=3A027772
- Number of different words that can be formed from an n X n grid of letters, reading horizontally, vertically or diagonally.at n=12A034720
- A triangle of numbers related to triangle A049325.at n=24A049410
- Denominators of row 4 of table described in A051714/A051715.at n=23A051723
- Reduced denominators of the coefficients in a series expansion for Gamma[x].at n=23A054380
- Number of Gnutella users reachable with given connections and hops.at n=50A067066
- Numbers k such that phi(k) = bigomega(k)*tau(k)^2.at n=13A068540
- Numbers k such that 2^k - k^2 is prime.at n=22A072180