3940
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8316
- Proper Divisor Sum (Aliquot Sum)
- 4376
- 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
- 1568
- Möbius Function
- 0
- Radical
- 1970
- 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
- 25
- 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
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=40A000566
- a(n) = n concatenated with n + 1.at n=38A001704
- Series for second perpendicular moment of square lattice.at n=10A006734
- Coordination sequence T2 for Zeolite Code BRE.at n=41A008059
- Coordination sequence T4 for Zeolite Code NON.at n=38A008215
- Coordination sequence T1 for Zeolite Code -PAR.at n=45A009855
- Even heptagonal numbers (A000566).at n=20A014640
- Expansion of Product_{m>=1} (1 - m*q^m)^2.at n=25A022662
- a(n) = [ 2nd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=24A025193
- Expansion of Product_{m>=1} (1 + q^m)^m; number of partitions of n into distinct parts, where n different parts of size n are available.at n=16A026007
- a(n) = dot_product(1,2,...,n)*(5,6,...,n,1,2,3,4).at n=19A026043
- Pair up the numbers.at n=19A030655
- Number of partitions of n into parts not of the form 25k, 25k+10 or 25k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=28A036009
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(1,5) <= cn(3,5) = cn(4,5).at n=71A036856
- Number of pairs {i,j}, i>1, j>1, such that ij < n^2.at n=36A037048
- Coordination sequence T8 for Zeolite Code SFF.at n=41A038435
- Numerators of continued fraction convergents to sqrt(392).at n=5A041744
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049735.at n=15A049738
- Numbers k such that 2^k + 15 is prime.at n=38A057197
- Numbers k > 1 such that, in base 6, k and k^2 contain the same digits in the same proportion.at n=1A061660