4169
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4560
- Proper Divisor Sum (Aliquot Sum)
- 391
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3780
- Möbius Function
- 1
- Radical
- 4169
- 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
- 157
- Smith Number
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n in cubic lattice.at n=10A000605
- Let F(x) = 1 + x + 4x^2 + 10x^3 + ... = g.f. for A000293 (solid partitions) and expand (1-x)(1-x^2)(1-x^3)...*F(x) in powers of x.at n=12A002836
- a(n) = floor(1000*log_2(n)).at n=17A004265
- a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.at n=8A004968
- Coordination sequence T1 for Zeolite Code JBW.at n=43A008121
- Coordination sequence T2 for Zeolite Code iRON.at n=45A009882
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=9A020405
- Numbers k such that Fibonacci(k) == 89 (mod k).at n=44A023182
- Discriminants of quintic fields with 4 complex conjugates.at n=14A023685
- a(n) is the sum of squares of the first n positive integers congruent to 2 mod 3.at n=10A024394
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 30 ones.at n=26A031798
- Sums of distinct powers of 8.at n=23A033045
- Multiplicity of highest weight (or singular) vectors associated with character chi_114 of Monster module.at n=40A034502
- Number of partitions in parts not of the form 21k, 21k+1 or 21k-1. Also number of partitions with no part of size 1 and differences between parts at distance 9 are greater than 1.at n=37A035979
- Positive numbers having the same set of digits in base 2 and base 8.at n=19A037413
- Sums of 4 distinct powers of 8.at n=1A038486
- Numbers having four 1's in base 8.at n=1A043428
- Numbers whose base-4 representation contains exactly three 0's and three 1's.at n=18A045031
- Revert transform of 2*x*(1 - x - x^3)-x/(1+x).at n=7A049172
- Closed 3-dimensional ball numbers (version 1): a(n)= number of integer points (i,j,k) contained in a closed ball of diameter n, centered at (0,0,0).at n=20A053591