16603
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16604
- 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
- 16602
- Möbius Function
- -1
- Radical
- 16603
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 159
- 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
- 1920
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002.at n=7A086003
- Primes congruent to 14 mod 53.at n=34A142544
- Primes congruent to 24 mod 59.at n=31A142751
- Primes congruent to 11 mod 61.at n=35A142809
- Primes p, with index k, such that p-k and p+k are both prime.at n=27A143794
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 0), (1, -1, 0), (1, 0, -1), (1, 1, 1)}.at n=8A149604
- Primes p such that p^3-p^2-1 and p^3-p^2+1 are prime.at n=25A160858
- Primes expressed as the sum of square of digits of all primes.at n=26A181508
- Primes p such that 10p+1 divides 2^p-1.at n=37A188133
- Number of partitions of n for which 2*(number of distinct parts) <= (number of parts).at n=38A237363
- a(n) = prime(2^(n-1)*(2*n-1)), n >= 1.at n=7A264735
- Growth series for affine Coxeter group B_4.at n=30A267167
- Number of permutations of [n] avoiding {2143, 1432, 1324}.at n=9A294048
- Primes p such that q = 4*p+1 and r = (2*p+1)/3 are also primes.at n=39A297306
- Primes for which A288814 gives a new record.at n=43A300097
- a(n) = coefficient of x^n in the n-th iteration (n-fold self-composition) of the g.f. of Fibonacci numbers (A000045).at n=5A302357
- Primes p such that the sum of 2^k for k such that 2^k < p and p+2^k is prime is greater than p.at n=36A345214
- a(1) = 1; a(n) = a(n-1) + 2 * a(floor(n/2)).at n=37A347027
- Emirps p such that if q is the next emirp after p, 2*q-p is also an emirp.at n=23A350852
- Lesser of 2 successive primes (k, k+4) sandwiching 3 consecutive nonsquarefree numbers.at n=13A366352