4042
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6336
- Proper Divisor Sum (Aliquot Sum)
- 2294
- 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
- 1932
- Möbius Function
- -1
- Radical
- 4042
- Omega Function (Ω)
- 3
- 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
- 64
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- 'Eban' numbers (the letter 'e' is banned!).at n=48A006933
- Coordination sequence T3 for Zeolite Code AET.at n=44A008009
- Coordination sequence T3 for Zeolite Code LIO.at n=44A008131
- Coordination sequence T3 for Zeolite Code CGF.at n=44A019453
- n written in fractional base 8/4.at n=42A024646
- Position of numbers of form 3*n^2 in A025060 (numbers of form j*k + k*i + i*j, where 1 <=i < j < k).at n=33A025064
- [ 3rd elementary symmetric function of {sqrt(k+1)} ], k = 1,2,...,n.at n=9A025220
- Euler transform of Thue-Morse sequence A001285.at n=19A029877
- Concatenation of n and n + 2 or {n,n+2}.at n=39A032607
- Coordination sequence T2 for Zeolite Code SFF.at n=42A038438
- a(1) = 1, a(m+1) = 2*Sum_{k=1..floor((m+1)/2)} a(k).at n=45A039722
- a(1) = 1, a(m+1) = 2*Sum_{k=1..floor((m+1)/2)} a(k).at n=46A039722
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=34A045231
- Number of asymmetric (identity) trees with n nodes and 4 leaves.at n=25A055335
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == (mod 5) so far).at n=23A060732
- a(n) = 2*n^2 + 8*n.at n=42A067728
- a(n) = 2*prime(n)*prime(n+1).at n=13A069486
- a(1)=1, a(n) = Sum_{k=1..n-1} min(a(k), a(n-k)).at n=53A075535
- Number of partitions of n into nonsquares.at n=44A087153
- a(n) = A069540(n)/5.at n=39A088407