4249
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4864
- Proper Divisor Sum (Aliquot Sum)
- 615
- 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
- 3636
- Möbius Function
- 1
- Radical
- 4249
- 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
- 126
- 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
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=17A004112
- Coordination sequence T2 for Zeolite Code ATS.at n=47A008039
- Coordination sequence T2 for Zeolite Code MOR.at n=42A008183
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=4A020431
- Fibonacci sequence beginning 2, 17.at n=13A022118
- Number of partitions of n into 5 unordered relatively prime parts.at n=52A023025
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=28A024814
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 30 ones.at n=28A031798
- Concatenation of n and n+7.at n=41A032612
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,2,3.at n=4A037678
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=23A044887
- Numbers whose base-5 representation contains exactly two 1's and three 4's.at n=16A045258
- Number of partitions of n with equal number of parts congruent to each of 0, 2, 3 and 4 (mod 5).at n=59A046774
- Numbers k where cos(k) decreases monotonically to 0.at n=9A046957
- Numbers k where sin(k) increases monotonically to 1 (or cosec(k) decreases).at n=13A046959
- Becomes prime or 4 after exactly 8 iterations of f(x) = sum of prime factors of x.at n=6A048130
- Generalized Pellian with second term equal to 10.at n=8A048697
- a(n)=T(n,n), array T as in A049735.at n=26A049740
- Handsome numbers (A007532) representable as a sum of any positive powers of their digits in two distinct ways, not counting different powers of duplicated digits as distinct.at n=34A050240
- Numbers k such that floor(tan(k)) > floor(tan(m)) for all m < k.at n=25A063537