7073
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7728
- Proper Divisor Sum (Aliquot Sum)
- 655
- 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
- 6420
- Möbius Function
- 1
- Radical
- 7073
- 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
- 101
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = 3^n + n^3.at n=8A001585
- Numbers that are the sum of 7 positive 7th powers.at n=25A003374
- Numbers that are the sum of 3 nonzero 8th powers.at n=6A003381
- Numbers that are the sum of at most 3 nonzero 8th powers.at n=15A004876
- Numbers that are the sum of at most 4 nonzero 8th powers.at n=22A004877
- Numbers that are the sum of at most 5 nonzero 8th powers.at n=30A004878
- Numbers that are the sum of at most 6 nonzero 8th powers.at n=39A004879
- a(n) = (n+1)*(n^2 +8*n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times.at n=32A008778
- Conjectured number of irreducible multiple zeta values of depth 7 and weight 2n+19.at n=17A022495
- a(n) = least m such that if r and s in {1/2, 1/5, 1/8, ..., 1/(3n-1)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=37A024837
- Numerators of continued fraction convergents to sqrt(163).at n=7A041300
- Numerators of continued fraction convergents to sqrt(652).at n=7A042252
- Base-6 palindromes that start with 5.at n=30A043014
- a(n)=T(n,n+3), array T as in A049735.at n=32A049743
- Table T(m,k)=m^k+k^m (with 0^0 taken to be 1) as square array read by antidiagonals.at n=69A055652
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 67 ).at n=38A063340
- Leyland numbers: 3, together with numbers expressible as n^k + k^n nontrivially, i.e., n,k > 1 (to avoid n = (n-1)^1 + 1^(n-1)).at n=21A076980
- a(n) = 6*n^2 + 4*n + 1.at n=34A080859
- Expansion of (1 - 2*x - 2*x^2)/((1 - 2*x)*(1 - 3*x)).at n=9A085279
- Triangle read by rows: T(n,r) = n^r + r^n (1 <= r <= n).at n=30A093898