7101
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10560
- Proper Divisor Sum (Aliquot Sum)
- 3459
- 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
- 4716
- Möbius Function
- 0
- Radical
- 789
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 88
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partially achiral trees with n nodes.at n=17A003243
- Lucky numbers with size of gaps equal to 14 (upper terms).at n=35A031897
- Number of 6-ary rooted trees with n nodes and height at most 5.at n=14A036622
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=19A039664
- a(n) = (9*n^2 + 13*n + 6)/2.at n=39A064226
- Expansion of (1-x)^2/((1-x)^3-5x^3).at n=10A097124
- a(n) = (9*n^2 - 5*n + 2)/2.at n=40A140064
- E.g.f. A(x) satisfies: A(x) = 1 + Series_Reversion( Integral 1/A(x)^3 dx ).at n=5A144003
- Number of ways to place zero or more nonadjacent 1,1 2,1 3,0 3,1 3,2 3,3 polyhexes in any orientation on a planar nXnXn triangular grid.at n=6A155268
- Partial sums of [A052938(n)^2].at n=40A162899
- First result not divisible by 4 when iterating k -> k+tau(k) from 2(2n-1)^2.at n=29A165495
- Triangle read by rows; generalization of A101950.at n=10A178865
- Numbers k such that there are 2 primes between 100*k and 100*k + 99.at n=16A186394
- Numbers n for which 2*n+5, 4*n+5, 6*n+5, and 8*n+5 are primes.at n=47A210504
- Minimal sum s of n distinct squares such that s is divisible by n.at n=26A215574
- Conjectured numbers n for which n^n + (-1)^n (n-1)^(n-1) is not squarefree.at n=43A238194
- Number of partitions p of n such that (number of numbers in p of form 3k+1) < (number of numbers in p of form 3k+2).at n=38A241737
- Number of (n+1) X (n+1) 0..2 arrays with every 2 X 2 subblock summing to 4 and no 2 X 2 subblock having exactly two nonzero entries.at n=6A251142
- Number of (n+1) X (7+1) 0..2 arrays with every 2 X 2 subblock summing to 4 and no 2 X 2 subblock having exactly two nonzero entries.at n=6A251148
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 627", based on the 5-celled von Neumann neighborhood.at n=46A273274