4706
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7644
- Proper Divisor Sum (Aliquot Sum)
- 2938
- 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
- 2160
- Möbius Function
- -1
- Radical
- 4706
- 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
- 33
- 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=29A000327
- a(n) = 6*n^2 + 2 for n > 0, a(0)=1.at n=28A005897
- Coordination sequence T2 for Zeolite Code DDR.at n=43A008072
- a(0) = 1, a(n) = 24*n^2 + 2 for n>0.at n=14A010014
- Coordination sequence T2 for Zeolite Code TER.at n=46A016434
- Expansion of 1/Product_{m>=1} (1 - m*q^m)^26.at n=3A022750
- a(n) = [ (3rd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+2 odd positive integers}.at n=11A024202
- Sequence satisfies T^2(a)=a, where T is defined below.at n=46A027588
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black.at n=30A032279
- Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.at n=24A032540
- Gaps of 9 in sequence A038593 (upper terms).at n=6A038658
- Numbers ending with '6' that are the difference of two positive cubes.at n=20A038861
- Numbers that are the sum of two (possibly negative) cubes in at least 2 ways.at n=17A051347
- T(2n+1,n), array T as in A054110.at n=6A054114
- Numbers n > 9 such that x^n + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x +1 is irreducible over GF(2).at n=21A057487
- Number of walks of length n on the upper-right part of the hexagonal lattice.at n=6A057647
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=21A063350
- a(n) = Sum_{i=1..n} binomial(2*i,i).at n=6A066796
- Triangle T(n,k) read by rows giving number of underdiagonal lattice paths from (0,0) to (n,k) using only steps R = (1,0), V = (0,1) and D = (3,1).at n=60A071946
- One-sixth the area of the smallest primitive d-arithmetic triangle, where d=A072330(n).at n=17A072360