2076
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4872
- Proper Divisor Sum (Aliquot Sum)
- 2796
- 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
- 688
- Möbius Function
- 0
- Radical
- 1038
- Omega Function (Ω)
- 4
- 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
- 63
- 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
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=36A008137
- Coordination sequence T8 for Zeolite Code MFI.at n=29A008171
- Coordination sequence T2 for Scapolite.at n=29A008263
- Number of parts in all partitions of all the numbers in {1,2,...,n} into distinct parts.at n=22A015724
- Numbers k such that the continued fraction for sqrt(k) has period 36.at n=21A020375
- Expansion of Product_{m>=1} (1+q^m)^(-16).at n=4A022611
- Integer part of ((4th elementary symmetric function of 1,2,..,n)/(2nd elementary symmetric function of 1,2,...,n)).at n=17A024173
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=28A025200
- Sum of the numbers between the two n's in A026362.at n=23A026365
- a(n) = T(2n-1, n-2), T given by A026780.at n=4A026785
- a(n) = n^2 + n + 6.at n=45A027691
- Number of increasing mobiles with n elements.at n=7A029768
- 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 22.at n=31A031520
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 18 ones.at n=35A031786
- Incrementally largest terms in the continued fraction for Euler's constant gamma (A002852).at n=9A033091
- Grundy function for turn-at-most-4-coins game.at n=39A033623
- Number of pairs {i,j}, i>1, j>1, such that ij < n^2.at n=27A037048
- Numbers k such that k!!! + 1 is prime (0 is included by convention).at n=29A037083
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 1.at n=44A038632
- Numbers k such that string 3,4 occurs in the base 8 representation of k but not of k-1.at n=36A044215