16474
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 24714
- Proper Divisor Sum (Aliquot Sum)
- 8240
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8236
- Möbius Function
- 1
- Radical
- 16474
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 40
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of decimal digits in (n!)!; A000197.at n=7A063979
- Numbers n such that sum of cubes of even digits of n equals sum of cubes of odd digits of n.at n=7A076165
- a(n) = 2^n - 1 + n*(n-1)/2.at n=13A132925
- Numbers k such that k*Lucas(k) + 1 is prime.at n=28A134696
- a(0) = 0, and for n > 0, a(n) = A002956(n) - A000041(n).at n=22A181887
- Numbers n such that 4*7^n + 1 is prime.at n=17A204323
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 158", based on the 5-celled von Neumann neighborhood.at n=35A270335
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 742", based on the 5-celled von Neumann neighborhood.at n=45A273484
- a(n) = Sum_{d|n} d*binomial(d+2,3).at n=16A321598
- Number of integer partitions of n such that (length) * (maximum) < 2n.at n=48A361852
- Expansion of g.f. A(x) satisfying Sum_{n>=0} Product_{k=1..n} (x^(2*k-1) - 3*A(x)) = 1 - 2*Sum_{n>=1} x^(n^2).at n=13A370340
- a(n) = k the least number for which k^6 is n digits long and the sum of digits of k^6 is the maximum possible for a 6th power of that length (A373994(n)).at n=25A380567