16319
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16320
- 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
- 16318
- Möbius Function
- -1
- Radical
- 16319
- 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
- 128
- 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
- 1893
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- arcsin(arctan(x)+sin(x))=2*x+5/3!*x^3+193/5!*x^5+16319/7!*x^7...at n=3A012975
- Primes that are palindromic in base 9.at n=33A029977
- Numbers whose base-5 representation has exactly 7 runs.at n=27A043607
- Numbers k where cos(k) decreases monotonically to 0.at n=26A046957
- Numbers k where sin(k) increases monotonically to 1 (or cosec(k) decreases).at n=30A046959
- Prime number spiral (clockwise, Northeast spoke).at n=22A054553
- Third term of strong prime 5-tuples: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=37A054810
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=27A067860
- Sum of first n perfect powers.at n=43A076408
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=26A088291
- Primes with a single 0 bit in their binary expansion.at n=29A095078
- Primes from merging of 5 successive digits in decimal expansion of exp(Pi).at n=21A105010
- Primes that do not divide any term of the Lucas 4-step sequence A073817.at n=16A106300
- Positive integers i for which A112049(i) == 8.at n=15A112068
- Self-convolution equals A113224.at n=13A113281
- Odd bisection of A113281: a(n) = A113281(2*n+1).at n=6A113284
- Least prime p such that sigma(x)=sigma(p) has exactly n solutions.at n=17A115374
- a(n) = prime(n^2 + n + 1).at n=43A122566
- Sequence a_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).at n=7A129878
- Values of A134204(n) for n in A133242.at n=22A133243