2738
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4221
- Proper Divisor Sum (Aliquot Sum)
- 1483
- 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
- 1332
- Möbius Function
- 0
- Radical
- 74
- Omega Function (Ω)
- 3
- 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
- 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
- 40
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = 2*n^2.at n=37A001105
- Number of partitions of 3n-1 into n nonnegative integers each no more than 6.at n=17A001978
- Number of words of length n in a certain language.at n=28A005819
- a(n) = floor(tau*a(n-2)) + a(n-1) with a(0)=0 and a(1)=1.at n=15A005833
- Coordination sequence T1 for Zeolite Code ABW and ATN.at n=36A008000
- Coordination sequence T2 for Zeolite Code THO.at n=37A008239
- Coordination sequence T3 for Zeolite Code THO.at n=37A008240
- Number of partitions of n into at most 7 parts.at n=33A008636
- a(0) = 1, a(n) = 19*n^2 + 2 for n>0.at n=12A010009
- Numbers k such that the continued fraction for sqrt(k) has period 15.at n=16A020354
- Number of self-avoiding closed walks (from 0 to 0) of length 2n in the strip {0, 1, 2} X Z of the square lattice Z X Z.at n=9A022445
- Number of partitions of n in which the greatest part is 7.at n=40A026813
- Nonsquarefree k such that Pell equation x^2 - k*y^2 = -1 is soluble.at n=23A031397
- Both primitively and imprimitively represented by x^2+y^2.at n=38A034025
- Dirichlet convolution of squares with themselves.at n=36A034714
- Coordination sequence for 37-dimensional cubic lattice.at n=2A035732
- Coordination sequence for C_37 lattice.at n=1A035774
- Number of 6-ary rooted trees with n nodes and height exactly 7.at n=13A036645
- Coordination sequence T2 for Zeolite Code STF.at n=35A038441
- Base-6 palindromes that start with 2.at n=18A043011