4167
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6032
- Proper Divisor Sum (Aliquot Sum)
- 1865
- 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
- 2772
- Möbius Function
- 0
- Radical
- 1389
- Omega Function (Ω)
- 3
- 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
- 113
- 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
- no
- Odd
- yes
Appears in sequences
- Number of plane partitions (or planar partitions) of n.at n=14A000219
- Numbers that are the sum of 9 positive 6th powers.at n=46A003365
- Divisible by 3 (and 9) and are differences between two cubes in at least one way.at n=42A038851
- Numbers ending with '7' that are the difference of two positive cubes.at n=25A038862
- a(n) = (n+3)^3 - n^3.at n=19A038865
- Numbers congruent to 2,3,6,11 mod 12 missing from A042944 (conjectured to be finite).at n=24A042945
- The sequence e when b=[ 1,1,1,0,1,1,... ].at n=51A042957
- Numbers whose base-8 representation has exactly 5 runs.at n=6A043627
- Numbers whose base-4 representation contains exactly three 0's and three 1's.at n=17A045031
- Numbers whose base-5 representation contains exactly three 1's and two 3's.at n=36A045246
- Becomes prime after exactly 6 iterations of f(x) = sum of prime factors of x.at n=40A047825
- A simple grammar.at n=6A052751
- T(n,n-3), array T as in A054120.at n=10A054121
- Number of 2 X 2 singular integer matrices with elements from {0,...,n} up to row and column permutation.at n=40A064276
- Numbers given by the Rule 225 Cellular Automaton.at n=40A078176
- Friedman numbers that involve the "^" sign.at n=42A083509
- An "L" digit is a digit "looking to the Left" (1,2,3,7,9); an "R" digit is a digit "looking to the Right" (4,5,6); an "U" digit is a digit "looking at Us" (0,8). This is the slowest increasing sequence showing the infinite pattern [LR] (when read digit-by-digit).at n=33A093102
- k such that k-th prime is of the form 2n^2 + 3n + 3.at n=23A096690
- Diagonal sums of triangle A099573.at n=24A099574
- Numbers n such that 6*10^n + 5*R_n + 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=8A103040