16033
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16034
- 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
- 16032
- Möbius Function
- -1
- Radical
- 16033
- 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
- 45
- 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
- 1865
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Lonely (or isolated) primes: increasing distance to nearest prime.at n=8A023186
- Lonely (or isolated) primes: least prime of distance n from nearest prime (n = 1 or even).at n=12A023188
- Number of partitions of n that do not contain 7 as a part.at n=37A027341
- Lonely numbers: distance to closest prime sets a new record.at n=14A051650
- Smallest number at distance n from nearest prime.at n=24A051652
- Smallest number at distance 2n from nearest prime.at n=12A051728
- Second term of strong prime 5-tuples: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=36A054809
- Numbers k such that prime(k) + prime(k+1) is a square.at n=36A064397
- Numbers n such that p(n) + p(n+1) is a square and n is prime.at n=7A064398
- Number of fixed points of permutation of SetPartitions under {1,2,...,n}->{n,n-1,...,1}. Number of symmetric arrangements of non-attacking rooks on upper half of n X n chessboard.at n=13A080107
- Bisection of A080107.at n=6A080337
- Primes p such that q-p = 24, where q is the next prime after p.at n=22A098974
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=21A102723
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=20A102723
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=19A102723
- Smallest prime a(n) such that a(n)-x and a(n)+x, for x=1 to n, are all composite.at n=22A102723
- Primes p such that little googol + p is prime.at n=35A108255
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 7.at n=33A109561
- Numbers k such that k, k+1, k+2 and k+3 are 1,2,3,4-almost primes.at n=15A113000
- Number of permutations of length n which avoid the patterns 1234, 2431, 4312.at n=13A116765