3375
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6240
- Proper Divisor Sum (Aliquot Sum)
- 2865
- 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
- 1800
- Möbius Function
- 0
- Radical
- 15
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- 136
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- The cubes: a(n) = n^3.at n=15A000578
- Powers of 15.at n=3A001024
- Numbers of the form 3^i*5^j with i, j >= 0.at n=25A003593
- Expansion of (1+x^2) / ( (1-x)^2 * (1-x^3)^2 ).at n=42A006501
- a(n) = n OR n^3 (applied to binary expansions).at n=14A008468
- a(n) = 15^(2*n + 1).at n=1A013720
- a(n) = 15^(4*n+3).at n=0A013803
- a(n) = 15^(5*n+3).at n=0A013876
- a(n) = (2*n - 15)*n^2.at n=15A015247
- Odd numbers k that divide phi(k)*sigma(k).at n=10A015706
- Values of n where (phi(n) * sigma(n))/n is an integer and increases.at n=44A015707
- Numbers k such that k | 14^k + 1.at n=43A015965
- Coordination sequence T6 for Zeolite Code TER.at n=39A016438
- Odd cubes: a(n) = (2*n + 1)^3.at n=7A016755
- a(n) = (3*n)^3.at n=5A016767
- a(n) = (4*n+3)^3.at n=3A016839
- a(n) = (5*n)^3.at n=3A016851
- a(n) = (6*n + 3)^3.at n=2A016947
- a(n) = (7*n + 1)^3.at n=2A016995
- a(n) = (8*n + 7)^3.at n=1A017151