16304
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 31620
- Proper Divisor Sum (Aliquot Sum)
- 15316
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8144
- Möbius Function
- 0
- Radical
- 2038
- Omega Function (Ω)
- 5
- 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
- 66
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Positive numbers k such that k and 2*k are anagrams in base 8 (written in base 8).at n=33A023073
- Number of partitions satisfying (cn(0,5) <= cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=50A036807
- Numbers whose base-5 representation has exactly 7 runs.at n=19A043607
- a(1) = 1, a(n+1) is the sum of a(n) and ceiling( arithmetic mean of a(1) ... a(n) ).at n=36A065095
- Numbers k such that 2^k + Fibonacci(k) is prime.at n=20A074824
- Trajectory of 63 under the map k -> A003415(k) (taking the arithmetic derivative).at n=12A090635
- 10th column of A172119.at n=14A172319
- Number of permutations of 0..(n-1) representable as consecutive sums of 3 adjacent elements of a sequence of n+2 nonnegative integers.at n=9A180206
- Arises in enumerating Huffman codes, compact trees, and sums of unit fractions.at n=16A194632
- Number of -2..2 arrays x(0..n-1) of n elements with zero sum and no element more than one greater than the previous.at n=9A199841
- Number of binary words of length n which have no 0^b 1 1 0^a 1 0 1 0^b - matches, where a=1, b=2.at n=14A234591
- Numbers equal to the arithmetic derivative of their Euler totient function.at n=37A248815
- Seventh arithmetic derivative of n.at n=48A258647
- Eighth arithmetic derivative of n.at n=44A258648
- Ninth arithmetic derivative of n.at n=24A258649
- Tenth arithmetic derivative of n.at n=20A258650
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 229", based on the 5-celled von Neumann neighborhood.at n=28A270948
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 233", based on the 5-celled von Neumann neighborhood.at n=13A286968
- Number of distinguishable configurations of the nearest larger value problem on an array of size n, using tiebreaking rule III: ties are broken by using the larger value.at n=11A293348
- Number of partitions of partitions of n where all partitions have the same sum.at n=28A305551