7045
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
- 8460
- Proper Divisor Sum (Aliquot Sum)
- 1415
- 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
- 5632
- Möbius Function
- 1
- Radical
- 7045
- 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
- 106
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=34A020360
- "CGJ" (necklace, element, labeled) transform of 2,1,1,1...at n=8A032148
- Integer part of (Product(n^((1 + log(i))/i^2), {i, 1, n})).at n=38A062482
- Nearest integer to (Product(n^((1 + log(i))/i^2), {i, 1, n})).at n=38A062483
- Values of r such that N(r)/r^2 > Pi, where N(r) is the number of integer lattice points (x,y) inside or on a circle of radius r.at n=38A093832
- Square table, read by antidiagonals, where the g.f. for row n+1 is generated by: x*R_{n+1}(x) = (1+n*x - 1/R_n(x))/(n+1) with R_0(x) = Sum_{n>=0} n!*x^n.at n=60A111528
- Row 5 of table A111528.at n=5A111532
- Main diagonal of table A111528.at n=5A111534
- Hexanacci numbers: a(n)=a(n-1)+a(n-2)+a(n-3)+a(n-4)+a(n-5)+a(n-6), {0,1,2,3,4,5...}.at n=15A145030
- Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 5.at n=41A146330
- Fibonacci sequence beginning 29, 31.at n=12A157681
- Parameters n for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-n has order 16.at n=34A179140
- Least number k having n representations as the sum of the minimal number of biquadrates A002377(k).at n=7A185673
- a(n) = a(n-1) + a(n-2), for n>=2, with a(0)=27, a(1)=2.at n=14A190994
- Number of n X 2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,0,2,4 for x=0,1,2,3,4.at n=10A196316
- Number of n X 3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,3,2,1,2 for x=0,1,2,3,4.at n=8A197337
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,3,2,1,2 for x=0,1,2,3,4.at n=57A197342
- Numbers n such that n^2 is a concatenation of two nonzero squares with no trailing zeros in n.at n=38A198035
- Number of compositions of n where the difference between largest and smallest parts equals 5 and adjacent parts are unequal.at n=14A214274
- Composite squarefree numbers n such that p + tau(n) divides n - phi(n), where p are the prime factors of n, tau(n) = A000005(n) and phi(n) = A000010(n).at n=37A229324