16169
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18240
- Proper Divisor Sum (Aliquot Sum)
- 2071
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14256
- Möbius Function
- -1
- Radical
- 16169
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 146
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (n + 3)*(n^2 + 6*n + 2)/6.at n=43A005286
- Expansion of 1/(1 - x^2 - x^3 - x^4) = 1/((1 + x)*(1 - x - x^3)).at n=28A013979
- a(n) = (1/6)*(2*n - 3)*(n + 2)*(n + 1).at n=38A058373
- Greedy frac multiples of gamma: a(1)=1, Sum_{n>0} frac(a(n)*x) = 1 at x=gamma, where "frac(y)" denotes the fractional part of y.at n=14A080157
- Expansion of g.f.: (1-x^2-x^3)/( (1+x)*(1-x-x^3) ).at n=32A107458
- Odd composite numbers such that the sum of any two terms, plus 1, is composite.at n=43A133763
- Number of reduced words of length n in the Weyl group A_45.at n=3A161690
- Riordan array (1/(1-x),xc(x)/(1-xc(x))) where c(x)is the g.f. of A000108.It factorizes as A007318*A106566.at n=47A168216
- 23 times triangular numbers.at n=37A195039
- Number of compositions of n into parts of the n-th list of distinct parts in the order given by A246688.at n=28A246691
- Expansion of x*(1-x-x^2)/((1-x)*(1-x-2*x^2-x^3)).at n=15A262735
- Number of integer partitions of n whose parts are all equal or whose distinct parts are pairwise coprime.at n=49A304712
- a(n) is the least number whose sum of digits in primorial base equals n.at n=29A343048
- Lexicographically first sequence of positive integers such that all disjoint equivalent sets of K terms have distinct sums for 1 <= K <= 4.at n=17A349777