7060
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14868
- Proper Divisor Sum (Aliquot Sum)
- 7808
- 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
- 2816
- Möbius Function
- 0
- Radical
- 3530
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 31
- 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
- yes
- Odd
- no
Appears in sequences
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=46A000123
- Number of 5-colorings of cyclic group of order n.at n=8A007688
- 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 42.at n=36A031540
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 42.at n=3A031720
- a(n) = Sum_{i=0..n} binomial(i,floor(i/2)).at n=14A036256
- a(n) = Sum_{i=0..n} T(i,n-i) where T is A049627.at n=40A049628
- 11-gonal (or hendecagonal) numbers: a(n) = n*(9*n-7)/2.at n=40A051682
- Numbers k such that the digits of sigma_2(k) end in k.at n=4A067207
- Number of two-rowed partitions of length 5.at n=23A070558
- a(n) = n * prime(prime(n)).at n=19A080697
- Numbers k such that k + (largest digit of k)! is a square.at n=41A095927
- Expansion of x*(-1+3*x-5*x^2+4*x^3+2*x^4+2*x^6) / ((x-1)*(2*x^4-4*x^3+3*x^2-3*x+1)*(x^4-2*x^3+2*x^2+1)).at n=13A110151
- Number of facets of the Alternating Sign Matrix polytope ASM(n).at n=44A128445
- a(n) = 16*n^2 + 4.at n=20A158444
- Number of n X n binary arrays with rows and columns, considered as binary numbers, in nondecreasing order, and all but the outermost row or column zero.at n=41A162024
- Triangle T(n, k, q) = Sum_{j=0..10} q^j * floor( binomial(n+1,k)*binomial(n-1,k-1)/(2^j*(n+1)) ) for q = 3, read by rows.at n=24A174045
- Triangle T(n,k) = binomial(n,k) + A176490(n,k) - 1 read along rows 0<=k<=n.at n=37A176491
- Triangle T(n,k) = binomial(n,k) + A176490(n,k) - 1 read along rows 0<=k<=n.at n=43A176491
- Q-toothpick sequence (see Comments for precise definition).at n=59A187210
- Increasing sequence generated by these rules: a(1)=1, and if x is in a then 3x+1 and 4x-3 are in a.at n=52A191132