2702
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4656
- Proper Divisor Sum (Aliquot Sum)
- 1954
- 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
- 1152
- Möbius Function
- -1
- Radical
- 2702
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions of n into at most 6 parts.at n=37A001402
- Numbers that are the sum of 8 positive 7th powers.at n=13A003375
- a(n) = 4*a(n-1) - a(n-2) with a(0) = 2, a(1) = 4.at n=6A003500
- Number of points on surface of hexagonal prism: 12*n^2 + 2 for n > 0 (coordination sequence for W(2)).at n=15A005914
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=30A005918
- Coordination sequence T8 for Zeolite Code MFI.at n=33A008171
- Coordination sequence for 6-dimensional lonsdaleite.at n=6A008526
- Molien series for 6-dimensional complex reflection group 4.U_4 (3) of order 2^9 .3^7 .5.7.at n=38A008581
- a(0) = 1, a(n) = 27*n^2 + 2 for n>0.at n=10A010017
- Expansion of e.g.f.: sech(tanh(x)*exp(x))=1-1/2!*x^2-6/3!*x^3-11/4!*x^4+100/5!*x^5...at n=7A012663
- Powers of fifth root of 2 rounded down.at n=57A018117
- Powers of fifth root of 8 rounded down.at n=19A018135
- Powers of fifth root of 8 rounded to nearest integer.at n=19A018136
- Number of partitions of n into 6 unordered relatively prime parts.at n=37A023026
- Convolution of A023532 and primes.at n=41A023606
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=39A024833
- 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+3)/m < s for some integer k.at n=19A024844
- Number of partitions of n into distinct parts >= 2.at n=53A025147
- a(n) = (d(n)-r(n))/2, where d = A026060 and r is the periodic sequence with fundamental period (1,0,0,0).at n=23A026061
- Number of partitions of n in which the greatest part is 6.at n=43A026812