16553
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16554
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 16552
- Möbius Function
- -1
- Radical
- 16553
- 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
- 97
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1916
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of strict 3rd-order maximal independent sets in path graph.at n=45A007384
- Egyptian fractions: number of partitions of 1 into reciprocals of positive integers <= n.at n=21A020473
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 19.at n=5A031607
- Primes arising in A086498: a(n) = (2n)-th partial sum of A086498.at n=41A086499
- Primes of the form 16*m^2 + 169, m=1,2,3,...at n=12A087862
- Primes congruent to 41 mod 43.at n=40A142290
- Primes congruent to 9 mod 47.at n=34A142360
- Primes congruent to 17 mod 53.at n=39A142547
- Primes congruent to 33 mod 59.at n=34A142760
- Primes congruent to 22 mod 61.at n=33A142820
- Primes of the form 2n^2-9.at n=29A155702
- Primes of the form 2^x+x*y+2^y, with x and y integers of any sign.at n=15A162573
- Primes p such that 2*p^4-+15 are also prime.at n=17A174366
- Primes of the form 4^k + 13^2.at n=3A178652
- Total sum of Fibonacci parts in all partitions of n.at n=23A199936
- Trajectory of 80 under the map n-> A006369(n).at n=45A223084
- Primes of the form 2^x + y (x >= 0 and 0 <= y < 2^x) such that all the numbers 2^(x+a) + (y-a) (0 < a <= y) are composite.at n=26A264866
- Primes of the form abs(-66n^3 + 3845n^2 - 60897n + 251831) in order of increasing nonnegative n.at n=18A272438
- SanD-50 primes: primes p such that p+d is also prime and sum of digits A007953(p(p+d)) = d, with d = 50.at n=40A307473
- Prime numbers followed by two consecutive numbers which are products of four distinct primes (or tetraprimes).at n=1A362578