3162
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6912
- Proper Divisor Sum (Aliquot Sum)
- 3750
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 960
- Möbius Function
- 1
- Radical
- 3162
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 79
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of g.f. Product_{k >= 1} (1 - x^k)^(-k*(k+1)/2).at n=10A000294
- Coordination sequence T1 for Zeolite Code LAU.at n=40A008124
- Coordination sequence T1 for Zeolite Code RUT.at n=37A009897
- a(n) = floor(binomial(n,4)/4).at n=25A011850
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16).at n=54A017874
- Powers of sqrt(10) rounded down.at n=7A017934
- Powers of sqrt(10) rounded to nearest integer.at n=7A017935
- Powers of fourth root of 10 rounded down.at n=14A018072
- Powers of fourth root of 10 rounded to nearest integer.at n=14A018073
- a(n) is the concatenation of n and 2n.at n=30A019550
- a(n) = [ Sum{(log(j)-log(i))^3} ], 2 <= i < j <= n.at n=50A025207
- Index of 9^n within the sequence of the numbers of the form 2^i*9^j.at n=44A025734
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=9A027662
- a(n) = floor(10000/sqrt(n)).at n=9A033433
- a(n) = 2*n^2 + 3*n + 3.at n=39A033816
- Trajectory of 1 under map n->29n+1 if n odd, n->n/2 if n even.at n=6A033971
- Sum of distances between greatest-part-order and length-order of partitions of n.at n=13A036051
- Nearest integer to n^(7/2).at n=10A036489
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5) < cn(1,5).at n=50A036847
- Positive numbers having the same set of digits in base 8 and base 10.at n=16A037442