6144
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
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16380
- Proper Divisor Sum (Aliquot Sum)
- 10236
- 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
- 2048
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 12
- 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
- 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
- 18
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=42A000423
- Numbers that are not the sum of 4 nonzero squares.at n=25A000534
- Number of symmetric foldings of a strip of n blank stamps.at n=16A001010
- Numbers n such that n / product of digits of n is a square.at n=14A001104
- a(n) = (n+2)*2^(n-1).at n=10A001792
- a(n) = 6*4^n.at n=5A002023
- a(n) = n*4^(n-1).at n=6A002697
- Expansion of g.f. (1+x)/(1-2*x).at n=12A003945
- Theta series of packing P_{10c}.at n=4A004021
- Sum of 12 positive 9th powers.at n=12A004801
- Numbers that are the sum of 6 positive 10th powers.at n=6A004806
- Numbers that are the sum of 3 positive 11th powers.at n=3A004814
- Numbers that are the sum of at most 6 nonzero 10th powers.at n=27A004901
- Numbers that are the sum of at most 7 nonzero 10th powers.at n=33A004902
- Numbers that are the sum of at most 3 positive 11th powers.at n=9A004909
- Numbers that are the sum of at most 4 positive 11th powers.at n=12A004910
- Numbers that are the sum of at most 5 positive 11th powers.at n=15A004911
- Numbers that are the sum of at most 6 positive 11th powers.at n=18A004912
- Numbers that are the sum of at most 7 positive 11th powers.at n=21A004913
- Numbers that are the sum of at most 8 positive 11th powers.at n=24A004914