7054
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10584
- Proper Divisor Sum (Aliquot Sum)
- 3530
- 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
- 3526
- Möbius Function
- 1
- Radical
- 7054
- 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
- 57
- 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
- Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=28A023541
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence).at n=30A024685
- 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 82.at n=24A031580
- Number of 6-ary rooted trees with n nodes and height at most 4.at n=17A036621
- Number of right triangles of a given area required to form successively larger squares.at n=41A060626
- Smallest squarefree integer k such that Q(sqrt(k)) has class number n.at n=16A081363
- Least k such that k*6*(M(n)^500)-1 is prime where M(i)= i-th Mersenne prime.at n=7A130745
- a(n) = (2*(-1)^n - 2^(n+1) + 3*n*2^n)/9.at n=11A140960
- G.f.: A(x) = Sum_{n>=0} x^n / Product_{d|n} (1 - x^d)^(n/d).at n=13A193201
- Cardinality of the set f^n({s}), where f is a variant of the Collatz function that replaces any element x in the argument set with both x/2 and 3*x+1, and s is an arbitrary irrational number.at n=13A208127
- Number of distinct values of the sum of i^2 over 9 realizations of i in 0..n.at n=28A225276
- Numbers n such that m + (sum of digits in base-3 representation of m) = n has exactly four solutions.at n=25A230856
- a(n) = Sum_{k=0..n} k^p*q^k, where p=1, q=-2.at n=10A232600
- Number of length n+6 0..2 arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms.at n=4A250053
- T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms.at n=19A250059
- Number of length 5+6 0..n arrays with no seven consecutive terms having the maximum of any two terms equal to the minimum of the remaining five terms.at n=1A250063
- a(n) = 9*n^2 + 18*n + 7.at n=27A259055
- Expansion of Product_{k>=1} (1+x^(3*k-2))^k.at n=50A262879
- Number of integer partitions of n whose number of submultisets is greater than n.at n=32A325831
- Even semiprimes such that the next semiprime is also even.at n=40A328036