3165
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5088
- Proper Divisor Sum (Aliquot Sum)
- 1923
- 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
- 1680
- Möbius Function
- -1
- Radical
- 3165
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T1 for Zeolite Code BPH.at n=43A008055
- Coordination sequence T5 for Zeolite Code DFO.at n=43A009879
- Numbers k that divide s(k), where s(1)=1, s(j)=21*s(j-1)+j.at n=23A014872
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18-x^19-x^20).at n=63A017896
- Pseudoprimes to base 58.at n=20A020186
- Pseudoprimes to base 67.at n=31A020195
- Pseudoprimes to base 88.at n=22A020216
- a(n) = n*(7*n + 1)/2.at n=30A022265
- Numbers k such that k^2 is palindromic in base 14.at n=20A030072
- Numbers k such that 129*2^k+1 is prime.at n=14A032414
- Numbers whose set of base-14 digits is {1,2}.at n=20A032934
- Number of partitions of n with equal number of parts congruent to each of 2 and 4 (mod 5).at n=36A035560
- Positive numbers having the same set of digits in base 8 and base 10.at n=19A037442
- Denominators of continued fraction convergents to sqrt(835).at n=10A042613
- Numbers n such that string 6,5 occurs in the base 10 representation of n but not of n-1.at n=34A044397
- Numbers n such that string 6,5 occurs in the base 10 representation of n but not of n+1.at n=34A044778
- Numbers whose base-5 representation contains exactly three 0's and two 1's.at n=14A045171
- Numbers whose base-5 representation contains exactly three 0's and one 3.at n=32A045200
- T(2n,n), array T given by A047010.at n=6A047019
- Coordination sequence T3 for Zeolite Code DON.at n=38A047955