2147
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2280
- Proper Divisor Sum (Aliquot Sum)
- 133
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2016
- Möbius Function
- 1
- Radical
- 2147
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- 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
- 24
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=38A000326
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=24A002597
- Numbers k such that 4!*(2k-5)!/(k!*(k-1)!) is an integer.at n=16A004784
- 5!(2n-6)!/n!(n-1)! is an integer.at n=21A004785
- Least k such that binomial(k,n) has n or more distinct prime factors.at n=41A005733
- Number of lattice points inside circle of radius n is 4(a(n)+n)-3.at n=52A007882
- Coordination sequence T1 for Zeolite Code DAC.at n=29A008067
- Coordination sequence T1 for Zeolite Code DDR.at n=29A008071
- Coordination sequence T4 for Zeolite Code RTH.at n=32A009896
- Odd pentagonal numbers.at n=19A014632
- a(n) = (prime(n)^2 - 1)/24.at n=46A024702
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=20A024841
- a(n) = dot_product(1,2,...,n)*(3,4,...,n,1,2).at n=16A026037
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 45.at n=12A031543
- "DGK" (bracelet, element, unlabeled) transform of 2,1,1,1,...at n=23A032232
- Numbers in which all pairs of consecutive base-6 digits differ by 2.at n=39A033084
- Coordination sequence T4 for Zeolite Code SBT.at n=37A033615
- a(n) = 2*n^2 + 3*n + 3.at n=32A033816
- Decimal part of cube root of n starts with 9: first term of runs.at n=11A034135
- Numbers of the form m*(6*m-1) and m*(6*m+1), where m is an integer.at n=37A036498