3920
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 10602
- Proper Divisor Sum (Aliquot Sum)
- 6682
- 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
- 1344
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- yes
- 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
- Number of ways to arrange n non-attacking kings on an n X n board, with 2 sides identified to form a cylinder, with 1 in each row and column.at n=7A002493
- Coordination sequence T1 for feldspar.at n=42A008254
- Theta series of A_5 lattice.at n=27A008445
- a(n) = floor(n*(n-1)*(n-2)/30).at n=50A011912
- cosh(arcsin(x)*sin(x))=1+12/4!*x^4+3920/8!*x^8+120960/10!*x^10...at n=4A012337
- Triangle of coefficients in expansion of (2 + 7*x)^n.at n=17A013623
- Coordination sequence T2 for Zeolite Code TER.at n=42A016434
- Expansion of 1/((1-2x)(1-4x)(1-6x)(1-10x)).at n=3A025968
- Number of distinct products ijk with 0 <= i,j,k <= n.at n=40A027426
- Expansion of (theta_3(z)*theta_3(23z)+theta_2(z)*theta_2(23z))^4.at n=20A028660
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 11 (most significant digit on left).at n=17A029480
- Every run of digits of n in base 4 has length 2.at n=33A033002
- a(n) = 5*n^2.at n=28A033429
- Triangle read by rows: T(k,j) = ((2*j+1)/(k+1))*binomial(2*j,j)*binomial(2*k-2*j,k-j).at n=39A033820
- Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*2^j.at n=18A038268
- Base-9 palindromes that start with 5.at n=14A043032
- Triangle of numbers related to Eulerian numbers.at n=24A046803
- Matrix 7th power of partition triangle A008284.at n=29A050301
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 4 skipped primes.at n=46A050771
- There exists some k>0 such that n is the product of (k + digits of n).at n=14A055482