1666
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3078
- Proper Divisor Sum (Aliquot Sum)
- 1412
- 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
- 672
- Möbius Function
- 0
- Radical
- 238
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- a(n) = Sum_{k=1..n-1} k^2*sigma(k)*sigma(n-k).at n=6A000477
- Coordination sequence T2 for Zeolite Code LTL.at n=30A008139
- Coordination sequence T1 for Zeolite Code ATO.at n=27A008265
- Coordination sequence for 7-dimensional cubic lattice.at n=4A008415
- a(0) = 1, a(n) = 26*n^2 + 2 for n>0.at n=8A010016
- Five iterations of Reverse and Add are needed to reach a palindrome.at n=36A015982
- Powers of fifth root of 22 rounded down.at n=12A018177
- Coordination sequence for C_7 lattice.at n=2A019563
- Nearest integer to Gamma(n + 5/8)/Gamma(5/8).at n=7A020026
- Ceiling of Gamma(n+5/8)/Gamma(5/8).at n=7A020116
- Index of 10^n within the sequence of the numbers of the form 4^i*10^j.at n=44A025742
- Number of partitions of n in which the least part is 5.at n=57A026798
- Number of partitions of n into an odd number of parts, the least being 3; also, a(n+3) = number of partitions of n into an even number of parts, each >=3.at n=46A027189
- Numbers whose set of base-6 digits is {1,4}.at n=35A032818
- Numbers whose maximal base-10 run length is 3.at n=23A033284
- a(n) = floor(10000/n).at n=5A033422
- a(n) = floor(10000/sqrt(n)).at n=35A033433
- Otto Haxel's guess for magic numbers of nuclear shells.at n=17A033547
- Multiplicity of highest weight (or singular) vectors associated with character chi_167 of Monster module.at n=36A034555
- Divide even numbers into groups with prime(n) elements and add together.at n=6A034959