4387
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4536
- Proper Divisor Sum (Aliquot Sum)
- 149
- 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
- 4240
- Möbius Function
- 1
- Radical
- 4387
- 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
- 139
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T3 for Zeolite Code MFI.at n=42A008166
- Coordination sequence T7 for Zeolite Code MFI.at n=42A008170
- a(n) = floor(binomial(n,4)/4).at n=27A011850
- a(n) = floor(n*(n-1)*(n-2)/4).at n=27A011886
- Numbers k such that sigma(k) = sigma(k+12).at n=29A015882
- Coordination sequence T8 for Zeolite Code MWW.at n=45A024993
- a(n) = H_n(1) / 2^floor(n/2) where H_n is the n-th Hermite polynomial.at n=12A025165
- Coordination sequence T4 for Zeolite Code ESV.at n=44A038411
- Coordination sequence T6 for Zeolite Code ESV.at n=44A038413
- Numbers whose base-4 representation has exactly 7 runs.at n=11A043598
- Numbers k such that number of runs in the base 4 representation of k is congruent to 1 mod 6.at n=29A043838
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 7.at n=11A043843
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 8.at n=11A043857
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 9.at n=11A043865
- Numbers k such that the number of runs in the base-4 representation of k is congruent to 7 (mod 10).at n=11A043874
- Numbers whose base-5 representation contains exactly two 0's and three 2's.at n=10A045183
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049687.at n=34A049688
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 2.at n=12A049953
- McKay-Thompson series of class 26a for Monster.at n=24A058598
- Number of subgroups of the group C_n X C_n X C_n (where C_n is the cyclic group of order n).at n=15A064803