3135
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
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 2625
- 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
- 1440
- Möbius Function
- 1
- Radical
- 3135
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 61
- 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
- a(n) = 4*n^2 - 1.at n=28A000466
- Number of partially labeled trees with n nodes (4 of which are labeled).at n=3A000485
- Double-bitters: only even length runs in binary expansion.at n=39A001196
- Generalized Stirling numbers, [n+6,6]_3.at n=3A001713
- a(n) = floor(1000*log(n)).at n=22A004240
- a(n) = 1000*log(n) rounded to the nearest integer.at n=22A004241
- Oscillates under partition transform.at n=43A007213
- Coordination sequence T2 for Zeolite Code MEP.at n=33A008158
- Coordination sequence T3 for Zeolite Code VET.at n=34A009904
- Numbers k such that the geometric mean of phi(k) and sigma(k) is an integer.at n=36A011257
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=12A013592
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=4A013593
- Smallest order of cyclotomic polynomial containing n or -n as a coefficient.at n=6A013594
- Geometric mean of phi(n) and sigma(n) is an integer, n odd.at n=15A015705
- Odd integers m such that phi(m) | sigma(m).at n=8A015715
- Coordination sequence T1 for Zeolite Code TER.at n=38A016433
- Pseudoprimes to base 56.at n=26A020184
- Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203).at n=47A020492
- Numbers k such that d(k) (number of divisors) divides phi(k) (Euler function) divides sigma(k) (sum of divisors).at n=36A020493
- a(n) = n*(7*n - 1)/2.at n=30A022264