4946
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7422
- Proper Divisor Sum (Aliquot Sum)
- 2476
- 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
- 2472
- Möbius Function
- 1
- Radical
- 4946
- 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
- 121
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T3 for Zeolite Code DOH.at n=43A008080
- Coordination sequence T1 for Zeolite Code OSI.at n=46A016430
- 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 70.at n=4A031568
- Number of partitions of n into parts 3k or 3k+1.at n=43A035360
- Integer quotients arising in A063986.at n=11A073128
- Triangle of numbers {a(n,k), n >= 0, 0<=k<=n} defined by a(0,0)=1, a(1,0)=2, a(n,0)=A006318(n), a(n,n)=A006319(n), a(n+1,0)=a(n,0)+a(n,n), a(n,m+1)= Sum A006318(k)*a(n-k,0), k=0..m.at n=26A073150
- A Wallis pair (x,y) satisfies sigma(x^2) = sigma(y^2); sequence gives x's for indecomposable Wallis pairs with x < y (ordered by values of x).at n=18A075768
- Number of configurations of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square at one of the 8 non-corner boundary squares.at n=11A090165
- Sequence coincides with union of its first and 2nd binomial transforms, ordered by size, with a(0)=1.at n=16A090859
- a(n) = (1/n!)*A001565(n).at n=16A094792
- Numbers n such that n*prime(n)-1 is a perfect square.at n=3A106041
- Semiprimes with semiprime digits (digits 4, 6, 9 only).at n=21A107342
- Number of planar partitions of n where parts strictly decrease along each row and column.at n=24A114736
- Row sums of triangle A115237.at n=20A115238
- G.f. A(x) satisfies A(x/A(x)^2) = 1 + x ; thus A(x) = 1 + Series_Reversion(x/A(x)^2).at n=6A120970
- Number of base 14 circular n-digit numbers with adjacent digits differing by 4 or less.at n=4A125351
- Numbers k such that k and k^2 use only the digits 1, 2, 4, 6 and 9.at n=27A136995
- Triangular T(n,k) = T(n-1, k) + T(n-1, k-1) + 5*T(n-2, k-1), read by rows.at n=52A153518
- Triangular T(n,k) = T(n-1, k) + T(n-1, k-1) + 5*T(n-2, k-1), read by rows.at n=47A153518
- Index of first occurrence of n in A154404.at n=32A154952