4055
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
- 4
- Divisor Sum
- 4872
- Proper Divisor Sum (Aliquot Sum)
- 817
- 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
- 3240
- Möbius Function
- 1
- Radical
- 4055
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 157
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Deficit in peeling rinds.at n=8A005675
- Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group.at n=12A007991
- Coordination sequence T4 for Zeolite Code AET.at n=44A008010
- Coordination sequence T1 for Zeolite Code MON.at n=39A008181
- Coordination sequence T1 for Zeolite Code -WEN.at n=46A009862
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=50A011911
- Coordination sequence T6 for Zeolite Code TER.at n=43A016438
- Numbers having three 7's in base 8.at n=16A043451
- Numbers having three 5's in base 9.at n=10A043475
- Numbers whose base-4 representation contains exactly two 1's and four 3's.at n=12A045123
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=37A045231
- Largest number m with A046805(m) = n.at n=39A046806
- a(n)^3 is smallest cube containing exactly n 6's.at n=5A048371
- Number of rooted trees with a forbidden limb of length 4.at n=11A052327
- Numbers whose cubes contain more than half the same digit and do not end in 0.at n=21A060814
- One-fourth of fourth column of Lucas bisection triangle (odd part).at n=3A061173
- Numbers k such that prime(k+3)-(k+3)*tau(k+3) = prime(k)-k*tau(k) where tau(k) = A000005(k) is the number of divisors of k.at n=29A067356
- a(n) = n-th squarefree number beginning with n.at n=39A077687
- Sum of numbers in n-th upward diagonal of triangle in A079823.at n=29A079824
- Union of A080105 and A080106.at n=33A080078