7166
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10752
- Proper Divisor Sum (Aliquot Sum)
- 3586
- 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
- 3582
- Möbius Function
- 1
- Radical
- 7166
- 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
- yes
- Odd
- no
Appears in sequences
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=66A013583
- Numbers k such that the continued fraction for sqrt(k) has period 76.at n=15A020415
- a(n) = Sum_{k=0..n} A026615(n, k).at n=12A026622
- The 5x + 1 sequence beginning at 7.at n=20A028389
- 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 84.at n=10A031582
- Incrementally largest terms in the continued fraction for Laplace's limit constant.at n=6A033262
- Sums of 11 distinct powers of 2.at n=32A038462
- Numbers whose base-4 representation contains exactly two 2's and four 3's.at n=19A045147
- Triangle in A059037 read by rows from left to right.at n=24A059038
- Triangle in A059037 read by rows in natural order.at n=24A059039
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=22A063368
- Sum of totients of binomial coefficients C(n,j), j=0..n.at n=14A064450
- Sum of the reciprocals of the partitions of n enumerated in A058360.at n=46A066824
- Numbers k such that 1 + binomial(k,j) is prime for only 2 values of j (0 <= j <= k).at n=35A067317
- Numbers k such that k and k^2 use only the digits 1, 3, 5, 6 and 7.at n=11A137033
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 3X3 plus 2,1 2,2 2,3 1,2 3,2.at n=10A145998
- Number of planar n X n X n binary triangular grids with no more than 3 ones in any 3 X 3 X 3 subtriangle.at n=5A153524
- Number of slanted n X 4 (i=1..n) X (j=i..4+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=26A165378
- a(0)=1, a(1)=2, a(2)=1; for n>2, a(n) = 7*2^(n-3)-2.at n=13A174317
- a(n) = 7*2^n - 2.at n=10A176448