2704
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 15
- Divisor Sum
- 5673
- Proper Divisor Sum (Aliquot Sum)
- 2969
- 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
- 1248
- Möbius Function
- 0
- Radical
- 26
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 53
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Squares of Bell numbers.at n=5A001247
- Numbers k such that 5*2^k - 1 is prime.at n=28A001770
- Number of rooted planar trees with n non-root nodes: circularly cycling the subtrees at the root gives equivalent trees.at n=9A003239
- Numbers that are the sum of 10 positive 7th powers.at n=15A003377
- a(n) = (prime(n) - 1)^2.at n=15A005722
- a(0) = 1, a(1) = 2, a(n) = 4*a(n-1) - 2*a(n-2), n >= 2.at n=7A006012
- Number of skew hyperplanes spanned by the vertices of an n-cube.at n=4A007848
- Product of the proper divisors of n.at n=51A007956
- Coordination sequence T1 for Zeolite Code APC.at n=36A008032
- Coordination sequence T4 for Zeolite Code FER.at n=32A008109
- Coordination sequence T1 for Zeolite Code LAU.at n=37A008124
- Coordination sequence T4 for Zeolite Code MTW.at n=34A008199
- Coordination sequence T5 for Zeolite Code PAU.at n=38A008223
- Coordination sequence T1 for Zeolite Code VFI.at n=40A008245
- Coordination sequence T2 for Zeolite Code VFI.at n=40A008246
- Coordination sequence T1 for Zeolite Code -ROG.at n=39A009859
- Coordination sequence T3 for Zeolite Code RSN.at n=34A009887
- exp(tanh(x)*arctan(x))=1+2/2!*x^2-4/4!*x^4-40/6!*x^6+2704/8!*x^8...at n=4A012676
- Coordination sequence T1 for Zeolite Code OSI.at n=34A016430
- Even squares: a(n) = (2*n)^2.at n=26A016742