6922
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10386
- Proper Divisor Sum (Aliquot Sum)
- 3464
- 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
- 3460
- Möbius Function
- 1
- Radical
- 6922
- Omega Function (Ω)
- 2
- 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
- 150
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Number of 3-dimensional polyominoes (or polycubes) with n cells.at n=7A000162
- Generalized sum of divisors function.at n=53A002130
- Numbers k such that the continued fraction for sqrt(k) has period 39.at n=7A020378
- Sums of 6 distinct powers of 3.at n=32A038468
- 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=44A039624
- Numerators of continued fraction convergents to sqrt(465).at n=7A041886
- Expansion of g.f. (1+x)*Product_{m>0} (1 + x^m).at n=50A052816
- Successive minima of partial sum of harmonic series Sum (mu(n)/n) are approximately 1/a(n).at n=6A071758
- a(1)=1, a(2)=10, a(n) = floor(a(n-1)/phi) + floor(a(n-2)/phi) where phi is the golden ratio (1+sqrt(5))/2 (if a(2) < 10 a(k) converges to an integer value).at n=56A072930
- Number of coverings of {1...n} by translation of a single set.at n=13A096202
- Semiprimes which are divisible by their multiplicative digital root.at n=44A118696
- Number of permutations of floor(i*5/4), i=0..n-1, with all sums of two and three adjacent terms respectively unique.at n=7A147893
- a(n) is the smallest number m from A173977 for which A020639(2m-1) = prime(n).at n=27A173979
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2>=x^2+y^2.at n=30A211636
- Number of (n+2) X 3 0..2 matrices with each 3 X 3 subblock idempotent.at n=9A224599
- T(n,k)=Number of (n+2)X(k+2) 0..2 matrices with each 3X3 subblock idempotent.at n=45A224606
- Numbers k such that 6^k + k^6 + 1 is prime.at n=14A243934
- a(n) = n^n*GegenbauerC(n,-n,-1/n)/(n+1).at n=4A272869
- Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.at n=12A297885
- Expansion of Product_{k>0} (Sum_{m>=0} x^(k*m^2)).at n=47A300446