6416
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 12462
- Proper Divisor Sum (Aliquot Sum)
- 6046
- 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
- 3200
- Möbius Function
- 0
- Radical
- 802
- Omega Function (Ω)
- 5
- 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
- 23
- 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 unlabeled strength 3 Eulerian graphs with n nodes, 2 of odd degree.at n=4A007129
- Repeatedly convert from decimal to octal.at n=20A008557
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=60A011914
- Least term in period of continued fraction for sqrt(n) is 10.at n=16A031434
- Numbers k such that 63*2^k+1 is prime.at n=39A032381
- Number of partitions of n into parts 4k+1 or 4k+2.at n=49A035365
- Number of partitions of n into parts not of the form 21k, 21k+4 or 21k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=33A035982
- Numbers beginning and ending with their multiplicative digital root.at n=36A064704
- a(1)=1, then a(n)=2*a(n-1) if a(n-1) is prime, a(n)=a(n-1)+1 otherwise.at n=50A080735
- a(1)=1, a(n)=2a(n-1)+1 if a(n-1) is prime, a(n)=a(n-1)+1 otherwise.at n=39A083005
- Numbers k such that k!!!!! + 1 is prime.at n=52A085148
- Numbers n such that n^2+n+41 (Euler's "prime generating polynomial") is not squarefree.at n=39A097823
- Numbers n such that (n + prime(n)), (n+1 + prime(n+1)) and (n+2 + prime(n+2)) are divisible by 5.at n=42A107581
- Number of partitions p of n such that min(p) and max(p) have a common factor.at n=44A114326
- Row sums of correlation triangle for (1+x)^3/(1-x).at n=21A115293
- n+p(n)+p(p(n)) is a palindrome, where p(n) denotes the n-th prime.at n=17A116037
- The number of n-almost primes less than or equal to 9^n, starting with a(0)=1.at n=5A116429
- Row squared sums of triangle A114700: a(n) = Sum_{k=0..n} A114700(n,k)^2.at n=13A116467
- Multiples of 16 containing a 16 in their decimal representation.at n=29A121036
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 5 and 6.at n=11A136855