2697
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3840
- Proper Divisor Sum (Aliquot Sum)
- 1143
- 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
- 1680
- Möbius Function
- -1
- Radical
- 2697
- Omega Function (Ω)
- 3
- 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
- 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
- 159
- 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
- no
- Odd
- yes
Appears in sequences
- a(n+1) = 1 + a( floor(n/1) ) + a( floor(n/2) ) + ... + a( floor(n/n) ).at n=28A003318
- a(n) = ceiling((1 + sum of preceding terms) / 2) starting with a(0) = 1.at n=20A005428
- a(n) = smallest number k such that Product_{i=2..k+1} prime(i)/(prime(i)-1) > n.at n=9A005580
- Coordination sequence T1 for Zeolite Code AWW.at n=37A008045
- Coordination sequence T3 for Zeolite Code BRE.at n=34A008060
- Coordination sequence T4 for Zeolite Code BRE.at n=34A008061
- Coordination sequence T1 for Zeolite Code MER.at n=38A008160
- Coordination sequence T4 for Zeolite Code PAU.at n=38A008222
- Coordination sequence T6 for Zeolite Code PAU.at n=38A008224
- Coordination sequence for Paracelsian.at n=35A008260
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=31A011892
- Number of partitions of n into its divisors that are powers of primes (A000961) with at least one part of size 1.at n=47A014650
- Odd numbers k such that phi(k) | sigma_3(k).at n=42A015809
- Coordination sequence T4 for Zeolite Code CGF.at n=36A019454
- Place where n-th 1 occurs in A023131.at n=43A022793
- Convolution of A014306 (starting 0,0,1,1,0,1,1,1,1,...) and primes.at n=40A023674
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers).at n=19A024588
- s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (composite numbers).at n=18A025102
- (d(n)-r(n))/2, where d = A008778 and r is the periodic sequence with fundamental period (1,1,0,1).at n=28A026052
- Lucky numbers with size of gaps equal to 8 (upper terms).at n=29A031891