6564
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15344
- Proper Divisor Sum (Aliquot Sum)
- 8780
- 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
- 2184
- Möbius Function
- 0
- Radical
- 3282
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 75
- 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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 6 positive 7th powers.at n=18A003373
- Numbers that are the sum of 4 nonzero 8th powers.at n=5A003382
- Numbers that are the sum of at most 4 nonzero 8th powers.at n=18A004877
- Numbers that are the sum of at most 5 nonzero 8th powers.at n=24A004878
- Numbers that are the sum of at most 6 nonzero 8th powers.at n=31A004879
- Numbers that are the sum of at most 7 nonzero 8th powers.at n=39A004880
- Numbers that are the sum of at most 8 nonzero 8th powers.at n=48A004881
- Coordination sequence for hexagonal close-packing.at n=25A007899
- Coordination sequence for alpha-Nd, Position Nd1.at n=25A009948
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 54.at n=18A031552
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 54.at n=2A031732
- Sums of 2 distinct powers of 3.at n=29A038464
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=29A039624
- Numbers having three 0's in base 9.at n=10A043455
- Numbers k such that k*2^k - k - 1 is prime.at n=17A046843
- Sums of two powers of 3.at n=37A055235
- Smallest of four consecutive integers divisible by four consecutive primes respectively.at n=39A072555
- Number of planar partitions of n with exactly 3 rows.at n=15A091357
- Total number of parts in all compositions of n into distinct odd parts.at n=35A097936
- Square array T(r,m) read by antidiagonals: number of cyclically reduced words of length m in F_r.at n=43A104000