4938
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9888
- Proper Divisor Sum (Aliquot Sum)
- 4950
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1644
- Möbius Function
- -1
- Radical
- 4938
- 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
- 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
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=29A005735
- Coordination sequence T4 for Zeolite Code DOH.at n=43A008081
- Number of distinct products i*j*k with 1 <= i < j < k <= n.at n=44A027430
- a() = 1,3,... [ A037257 ], differences = 2,... [ A037258 ] and 2nd differences [ A037259 ] are disjoint and monotonic; adjoin next free number to 2nd differences unless it would produce a duplicate in which case ignore.at n=26A037257
- Numbers having three 6's in base 9.at n=27A043479
- McKay-Thompson series of class 18c for Monster.at n=16A058538
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=19A063358
- Sum of the first moments of all partitions of n with weight starting at 1.at n=14A066184
- Molien series for a certain 16-dimensional group of order 20160.at n=13A104993
- a(n)=a(n-1)+sum of digits(a(n-1))*sum of digits(a(n-2)).at n=25A108720
- (a(2n+1)+a(2n))^2 = a(2n+1) a(2n) (concatenated, not multiplied).at n=29A112268
- Indices k such that the (k+1)-st partial sum of primes divided by k is an integer.at n=9A134126
- Numbers k such that k and k^2 use only the digits 2, 3, 4, 8 and 9.at n=13A137077
- Row sums of A163233 and A163235.at n=18A163242
- First differences of A054270.at n=45A173926
- Base-7 Keith numbers.at n=20A188198
- Left part of the square of the n-th Kaprekar number.at n=18A194218
- Number A(n,k) of squares in all tilings of a k X n rectangle using integer-sided square tiles; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=61A226545
- Number A(n,k) of squares in all tilings of a k X n rectangle using integer-sided square tiles; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=59A226545
- Number of squares in all tilings of a 4 X n rectangle using integer-sided square tiles.at n=6A226547