4870
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8784
- Proper Divisor Sum (Aliquot Sum)
- 3914
- 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
- 1944
- Möbius Function
- -1
- Radical
- 4870
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 134
- 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 loopless rooted planar maps with 3 faces and n vertices and no isthmuses. Also a(n)=T(4,n-3), array T as in A049600.at n=27A006416
- Powers of fourth root of 2 rounded down.at n=49A018048
- Expansion of 1/((1-5*x)*(1-7*x)*(1-11*x)).at n=3A020000
- Pseudoprimes to base 41.at n=36A020169
- a(n) = (d(n)-r(n))/5, where d = A026049 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=37A026051
- Expansion of g.f. 1/((1-3*x)*(1-4*x)*(1-7*x)*(1-10*x)).at n=3A028040
- Coordination sequence T4 for Zeolite Code SFF.at n=46A038434
- a(n) = 2^(n-1)*(6*n-10)+6.at n=8A048499
- Number of positive integers <= 2^n of form 7 x^2 + 10 y^2.at n=16A054189
- Second term in the continued fraction expansion of StieltjesGamma[n].at n=10A066034
- Triangle of coefficients of polynomials used for g.f.s of columns of A067304.at n=29A067329
- Numbers n such that sum of digits of n equals the sum of digits of n^3.at n=19A070276
- First of triples of consecutive happy numbers, i.e., the first of three consecutive integers each of which is a happy number (A007770).at n=2A072494
- Number of one-step transitions between all unlabeled hierarchies of n elements.at n=6A089378
- a(n) = number of Egyptian fractions 1 = 1/x_1 + ... + 1/x_k (for any k), 0<x_1<...<x_k=n.at n=47A092669
- Nonzero elements of A092669.at n=15A092672
- Terms in a specific cycle of length 29 of the map x->A098189(x).at n=17A098192
- Triangle of numbers related to the generalized Catalan sequence C(3;n+1) = A064063(n+1), n>=0.at n=18A115154
- Third diagonal (M=3) of triangle A115154 (called Y(3,1)).at n=3A115189
- Number of permutations of length n which avoid the patterns 2341, 4213.at n=7A116709