6846
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15744
- Proper Divisor Sum (Aliquot Sum)
- 8898
- 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
- 1944
- Möbius Function
- 1
- Radical
- 6846
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- no
- 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
- Coordination sequence for NiAs(2), As position.at n=39A009945
- Coordination sequence for NiAs(2), Ni position.at n=39A009946
- Number of 5-tuples of different integers from [ 2,n ] with no common factors among triples.at n=20A015649
- a(n) = n*(31*n + 1)/2.at n=21A022289
- a(n) = (n!/2) * Sum_{k=0..n-2} 1/k!.at n=7A038155
- Denominators of continued fraction convergents to sqrt(964).at n=9A042865
- Numbers whose base-4 representation contains exactly four 2's and two 3's.at n=17A045155
- Numbers k such that 153*2^k-1 is prime.at n=35A050618
- Truncated triangular pyramid numbers: a(n) = (n-7)*(n^2 + 10*n - 108)/6, n >= 8.at n=27A051941
- Expansion of e.g.f.: exp(exp(2*x) - 2*exp(x) + 1).at n=7A052859
- Digits composite, each digit minus 1 is prime, sum of digits minus 1 is prime, difference of digits (in absolute value) minus 1 is prime.at n=33A058229
- Engel expansion of log(10) = 2.30259...at n=13A059182
- Coefficient array for certain polynomials N(3; k,x) (rising powers of x).at n=20A062746
- Numbers k such that k^2 + prime(k) and k^2 - prime(k) are both primes.at n=36A064483
- Triangle T(n,k) read by rows, where e.g.f. for T(n,k) is exp((1+y)*x)/(1-x).at n=30A073107
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=26A073735
- a(n) = smallest multiple of prime(n) such that a(n) +1 is a multiple of prime(n+1).at n=37A077338
- Positive numbers k such that the number of primes between k and 2*k is different from the number of primes between m and 2*m for every number m != k.at n=42A084142
- Numbers k such that k^2 + 11 and k^2 + 13 are primes.at n=29A113537
- Numbers k such that k and k^2 use only the digits 1, 4, 6, 7 and 8.at n=8A137052