2814
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
- 16
- Divisor Sum
- 6528
- Proper Divisor Sum (Aliquot Sum)
- 3714
- 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
- 792
- Möbius Function
- 1
- Radical
- 2814
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 172
- 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
- Coordination sequence T6 for Zeolite Code EUO.at n=33A008101
- Coordination sequence T2 for Zeolite Code WEI.at n=39A009918
- Coordination sequence for NiAs(2), As position.at n=25A009945
- Coordination sequence for NiAs(2), Ni position.at n=25A009946
- Fibonacci sequence beginning 1, 31.at n=11A022401
- Number of alternating compositions, i.e., compositions with alternating increases and decreases, starting with either an increase or a decrease.at n=18A025047
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026714.at n=4A027203
- a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.at n=25A027575
- Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).at n=11A034072
- Multiplicity of highest weight (or singular) vectors associated with character chi_181 of Monster module.at n=38A034569
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+3 or 20k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=43A036025
- Numerators of continued fraction convergents to sqrt(151).at n=5A041276
- Base-5 palindromes that start with 4.at n=24A043009
- Numbers k such that the string 6,6 occurs in the base 9 representation of k but not of k-1.at n=34A044311
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n-1.at n=31A044346
- Numbers n such that string 6,6 occurs in the base 9 representation of n but not of n+1.at n=34A044692
- Numbers n such that string 1,4 occurs in the base 10 representation of n but not of n+1.at n=31A044727
- Numbers whose base-4 representation contains exactly three 2's and three 3's.at n=3A045151
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=6A045291
- Triangle of rooted planar maps, read by rows.at n=38A046652