4399
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- 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)
- 137
- 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
- 4264
- Möbius Function
- 1
- Radical
- 4399
- 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
- 100
- 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 T4 for Zeolite Code NON.at n=40A008215
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=38A020379
- Number of 3's in n-th term of A022482.at n=33A022486
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 13 ones.at n=7A031781
- Lucky numbers with size of gaps equal to 14 (lower terms).at n=19A031896
- Consider a room of size r X s where rs = 2n and 1 <= r <= s; count ways to arrange n Tatami mats in room; a(n) = total number of ways for all choices of r and s. Two arrangements are considered the same if one is a rotation or reflection of the other.at n=23A052270
- Brilliant numbers (A078972) whose digital sum is also brilliant.at n=42A085648
- a(n) = (n^3 + 24*n^2 + 65*n + 36)/6.at n=23A087863
- a(n) = smallest M such that M is not divisible by prime(1), ..., prime(n), but is divisible by Sum_{i=1..n} (M mod prime(i)); or 0 if no such M exists.at n=8A106572
- a(n) = 7*a(n-1)-6*a(n-3)+a(n-5).at n=8A107413
- Shadow of N (natural numbers), also of Champernowne's shadow.at n=33A110623
- Numbers with composite sum of digits and prime sum of cubes of digits.at n=12A121642
- Number of base 31 circular n-digit numbers with adjacent digits differing by 7 or less.at n=3A125443
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 110-111-010 pattern in any orientation.at n=8A146243
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 110-111-010 pattern in any orientation.at n=18A146245
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 110-111-010 pattern in any orientation.at n=19A146245
- Number of right triangles with nonnegative integer coordinates less than or equal to n and one corner at the origin.at n=29A155154
- a(n) = 200*n - 1.at n=21A157955
- a(n) = 400*n - 1.at n=10A158317
- a(n) = 44*n^2 - 1.at n=9A158628