7089
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 2991
- 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
- 4416
- Möbius Function
- -1
- Radical
- 7089
- 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
- 57
- Smith Number
- yes
- 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
- 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=25A004112
- Tricapped prism numbers.at n=16A005920
- [ (3rd elementary symmetric function of 3,4,...,n+4)/(3+4+...+n+4) ].at n=16A024191
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=36A024814
- a(n) = Sum_{i=0..n} Sum_{j=0..i} T(i,j), T given by A026536.at n=10A026550
- "AGJ" (ordered, elements, labeled) transform of 1,3,5,7,...at n=6A032017
- Denominators of continued fraction convergents to sqrt(838).at n=6A042619
- Numbers k where cos(k) decreases monotonically to 0.at n=13A046957
- Numbers k where sin(k) increases monotonically to 1 (or cosec(k) decreases).at n=17A046959
- Numbers k such that floor(tan(k)) > floor(tan(m)) for all m < k.at n=33A063537
- Divide the natural numbers in sets of consecutive numbers starting with {1,2} as the first set. The number of elements of the n-th set is equal to the sum of the n-1 final numbers in the (n-1)st set. The number of elements of the n-th set gives a(n).at n=6A067352
- Numbers k such that phi((prime(k)-1)/2) = sigma(k).at n=29A068474
- a(n) = A077347(n)^(1/2).at n=49A077349
- Least nontrivial multiple of the n-th prime beginning with 7.at n=33A078291
- Where 7^n occurs in n-almost-primes, starting at a(0)=1.at n=6A078845
- Leading diagonal of A083173.at n=33A083174
- Starting numbers for which the RATS sequence has eventual period 14.at n=1A114615
- Consider the array T(r,c), the number of c-almost primes less than or equal to r^c. This is the diagonal T(r,r-1).at n=6A116434
- Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n}, having exactly k blocks consisting only even entries (0<=k<=floor(n/2)).at n=47A124422
- Greatest number m such that the fractional part of (101/100)^A153669(n) <= 1/m.at n=6A153673