6556
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12600
- Proper Divisor Sum (Aliquot Sum)
- 6044
- 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
- 2960
- Möbius Function
- 0
- Radical
- 3278
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 106
- 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
- Number of partitions of a 2n-set into even blocks.at n=5A005046
- Ruth-Aaron numbers (1): sum of prime divisors of n = sum of prime divisors of n+1.at n=15A006145
- Number of triples of different integers from [ 2,n ] with no global factor.at n=36A015618
- a(n) = prime(n)*prime(n-1) - 1.at n=22A023515
- a(n) = [ 2nd elementary symmetric function of {sqrt(k+1)} ], k = 1,2,...,n.at n=28A025219
- Palindromic Super-2 Numbers.at n=9A032750
- Partial sums of primes congruent to 5 mod 6.at n=37A038361
- a(n) = (9*n^2 + 3*n + 2)/2.at n=38A038764
- Base-10 palindromes that start with 6.at n=17A043041
- Numbers having three 8's in base 9.at n=28A043487
- Palindromic and divisible by 4.at n=37A045639
- Palindromes with exactly 4 prime factors (counted with multiplicity).at n=32A046330
- Palindromes expressible as sum of 2 consecutive palindromes.at n=49A046497
- Expansion of e.g.f. LambertW(x/(-1+x))/x*(-1+x).at n=5A052868
- Smallest palindromic multiple of n-th prime.at n=34A062888
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ).at n=23A063356
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 89 ).at n=20A063362
- Numbers k such that sopf(k) = sopfr(k+1), where sopf(k) = A008472(k) and sopfr(k) = A001414(k).at n=16A064678
- Floor(X/Y) where X = concatenation of the (n+1)-st even number through the (2n)-th even number and Y = concatenation of first n even numbers.at n=6A067091
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 10.at n=16A068031