16335
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 31920
- Proper Divisor Sum (Aliquot Sum)
- 15585
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7920
- Möbius Function
- 0
- Radical
- 165
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- 159
- Smith Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n^2*(n+1)*(n+2)^2/6.at n=9A004256
- An upper bound on the biplanar crossing number of the complete graph on n nodes.at n=46A007333
- a(n) = 4^n - n^2.at n=7A024038
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 11 (most significant digit on left).at n=40A029456
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-3)/3.at n=37A048037
- a(n) = 15*n^2.at n=33A064761
- a(1) = 3, a(n) is the smallest multiple of a(n-1) that contains all the digits of a(n-1), or which can be obtained by inserting digits anywhere in a permutation of digits of a(n-1) (prefix, suffix or insertion). Zeros are not to be suffixed. a(n) is not divisible by 10.at n=3A077698
- Numbers that have exactly six prime factors counted with multiplicity (A046306) whose digit reversal is different and also has 6 prime factors (with multiplicity).at n=20A109026
- Number of vectors in Barnes-Wall lattice BW_{2^n} with twice the minimal norm, divided by 2^(n+1).at n=3A110973
- Records in A111229.at n=34A111270
- a(n) is the least odd number 2^n - m minimizing A007947(m*(2^n - m)).at n=13A143701
- Numbers of length n binary words with fewer than 9 0-digits between any pair of consecutive 1-digits.at n=14A145117
- Least magic constant of magic squares using Smith numbers.at n=8A170928
- Numbers k such that 3^k + 3*k + 1 is prime.at n=16A171058
- Triangle read by rows: T(n, m) = floor(binomial(n+1, m)* binomial(n+2, m)/(2*m+2)), 1 <= m <= n.at n=48A174102
- Triangle read by rows: T(n, m) = floor(binomial(n+1, m)* binomial(n+2, m)/(2*m+2)), 1 <= m <= n.at n=51A174102
- Monotonic ordering of nonnegative differences 2^i-7^j, for 40>=i>=0, j>=0.at n=42A192118
- Monotonic ordering of nonnegative differences 4^i-7^j, for 40>= i>=0, j>=0.at n=20A192165
- Deficient numbers n having a companion m > n such that sigma(n)/n = sigma(m)/m.at n=29A212608
- Squares of triangular numbers, written backwards.at n=20A229701