4146
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
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8304
- Proper Divisor Sum (Aliquot Sum)
- 4158
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1380
- Möbius Function
- -1
- Radical
- 4146
- 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
- 38
- 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
- Number of partitions into non-integral powers.at n=13A000339
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=33A001994
- Number of ternary squarefree words of length n.at n=22A006156
- Coordination sequence T4 for Zeolite Code MFS.at n=40A008176
- Aliquot sequence starting at 1134.at n=3A014365
- Seidel's triangle, read by rows.at n=40A014781
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A000201 (lower Wythoff sequence).at n=29A024863
- 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 64.at n=2A031562
- Concatenation of n and n + 5 or {n,n+5}.at n=40A032610
- Multiplicity of highest weight (or singular) vectors associated with character chi_67 of Monster module.at n=34A034455
- Number of partitions of n into parts 3k or 3k+2.at n=49A035361
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(3,5) <= cn(2,5) = cn(4,5).at n=66A036864
- Coordination sequence T10 for Zeolite Code STT.at n=43A038422
- Coordination sequence T3 for Zeolite Code STF.at n=43A038442
- Numbers whose base-16 representation has exactly 4 runs.at n=32A043677
- Numbers whose base-4 representation contains exactly four 0's and one 1.at n=29A045034
- Numbers whose base-4 representation contains exactly four 0's and one 2.at n=31A045058
- Numbers whose base-4 representation contains exactly four 0's and one 3.at n=30A045082
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i) where T is A049615.at n=47A049618
- a(n) = Sum_{i=0..floor((n+1)/2)} T(2i+1,n-2i-1) where T is A049615.at n=47A049619