2087
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2088
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 2086
- Möbius Function
- -1
- Radical
- 2087
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 112
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 315
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = Sum_{k=0..n} p(k) where p(k) = number of partitions of k (A000041).at n=19A000070
- Primes with 5 as smallest primitive root.at n=45A001124
- Number of factorization patterns of polynomials of degree n over integers.at n=15A006171
- Primes of form x^3 + y^3 + z^3 where x,y,z > 0.at n=48A007490
- Primes of form n^2 + n + 17.at n=34A007635
- Coordination sequence T2 for Zeolite Code HEU.at n=30A008117
- Coordination sequence T3 for Zeolite Code MFI.at n=29A008166
- Number of partitions of 2*n into at most 4 parts.at n=31A014126
- Numbers k such that the continued fraction for sqrt(k) has period 28.at n=38A020367
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=19A023263
- Primes that remain prime through 2 iterations of function f(x) = 10x + 9.at n=37A023270
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=11A023301
- Coordination sequence T4 for Zeolite Code IFR.at n=32A024985
- Number of palindromic partitions of n.at n=39A025065
- Number of palindromic partitions of n.at n=38A025065
- a(n) = (d(n)-r(n))/2, where d = A026063 and r is the periodic sequence with fundamental period (1,1,0,1).at n=19A026064
- Number of connected functions on n points with a loop of length 6.at n=7A029869
- Primes p whose digits do not appear in p^2.at n=35A030086
- a(n) = prime(9*n).at n=34A031342
- 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=5A031543