4175
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 5208
- Proper Divisor Sum (Aliquot Sum)
- 1033
- 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
- 3320
- Möbius Function
- 0
- Radical
- 835
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 113
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = Sum_{k=0..n} C(n-k,3k).at n=16A003522
- a(n) = a(n-3) + a(n-4), with a(0)=1, a(1)=a(2)=0, a(3)=1.at n=48A017817
- Expansion of Product_{m>=1} (1+x^m)^2.at n=24A022567
- Coordination sequence T2 for Zeolite Code IFR.at n=45A024983
- a(n) = floor(Sum_{1<=i<j<=n} (sqrt(j)-sqrt(i))^2).at n=41A025196
- dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5).at n=19A026063
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 13 ones.at n=6A031781
- a(n) = a(n-1) + a(floor(n/2)), a(1) = 1.at n=47A033485
- Coordination sequence T2 for Zeolite Code ESV.at n=43A038410
- Numbers having three 1's in base 8.at n=36A043427
- Numbers n such that n^2 contains exactly 8 different digits.at n=12A054036
- Positive numbers k such that, in base 3, 2^k and 2^(k+1) have the same number of digits and the same number of 0's.at n=49A056734
- Number of compositions of n such that two adjacent parts are not equal modulo 2.at n=22A062200
- First differences of Stern's sequence A005230.at n=14A066777
- Numbers given by the Rule 225 Cellular Automaton.at n=42A078176
- Starting positions of strings of three 4's in the decimal expansion of Pi.at n=5A083615
- Number of nonisomorphic partitions of n on the Ferrers diagram.at n=32A095814
- Numbers k for which 8*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=4A096508
- Number of fixed points of mirroring operation on solid partitions.at n=16A096573
- Quadrisection of a generalized Padovan sequence.at n=12A099099