5669
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5670
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 5668
- Möbius Function
- -1
- Radical
- 5669
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 80
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 747
- 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=21A004112
- Expansion of exp(tan(tan(x))).at n=7A009240
- Expansion of sinh(tan(tan(x))) (odd powers only).at n=3A009603
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=30A020360
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=41A023264
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=32A024814
- Palindromic primes in base 4.at n=19A029972
- a(n) = floor(exp(2/17)*n!).at n=6A030898
- Lower prime of a pair of consecutive primes having a difference of 14.at n=31A031932
- Number of partitions of n into parts 3k or 3k+1.at n=44A035360
- Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 5).at n=43A035556
- Numbers k where cos(k) decreases monotonically to 0.at n=11A046957
- Numbers k where sin(k) increases monotonically to 1 (or cosec(k) decreases).at n=15A046959
- Sequence of 2 Pythagorean triangles, each with a leg and hypotenuse prime. The leg of the second triangle is the hypotenuse of the first.at n=23A048270
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 19.at n=15A050968
- Primes p such that p^8 reversed is also prime.at n=34A059701
- Primes p that have exactly two primitive roots that are not primitive roots mod p^2.at n=24A060518
- Numbers k such that floor(tan(k)) > floor(tan(m)) for all m < k.at n=29A063537
- Primes with either no internal digits or all internal digits are 6.at n=45A069681
- Frobenius number of the numerical semigroup generated by 3 consecutive triangular numbers.at n=17A069755