7049
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 1591
- 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
- 5616
- Möbius Function
- -1
- Radical
- 7049
- Omega Function (Ω)
- 3
- 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
- 80
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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) = a(n-1)+ a(round(2*(n-1)/3)) +a(round((n-1)/3)) starting a(1)=1.at n=28A033498
- a(n)=T(n,n+1), array T as in A049735.at n=33A049741
- a(n) = n*(2*n^2 + n + 1)/2.at n=18A085786
- Odd numbers n such that there exists a solution to lcm(s,z-s) = n, lcm(t,z-t) = n-2 and 0 < s+t < z < n.at n=28A108157
- Diagonal sums of the number triangle associated to A086617.at n=16A108296
- Number of partitions of n into powers of 2 or of 3.at n=51A131995
- Turan's upper bound on the number of triangles of a simplicial complex of dimension two for which every minimal non-face has three vertices.at n=43A140462
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, -1), (1, -1, -1), (1, 0, 0)}.at n=10A148084
- Odd squarefree numbers n such that the cyclotomic polynomial Phi(n,x) has height 4.at n=30A152942
- 144*n^2 - n.at n=6A156635
- a(n) = 49*n^2 - 7.at n=11A158484
- Numbers k which can be split into two numbers x and y such that x^3 + y^2 is a multiple of k.at n=21A162451
- Number of nondecreasing arrangements of n+3 numbers in 0..4 with each number being the sum mod 5 of three others.at n=14A183899
- Number of bracelets with 2 blue, 2 red, and n black beads.at n=35A210464
- Fundamental discriminants of real quadratic number fields with class number 10.at n=10A218160
- Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX6 array.at n=3A219814
- T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array.at n=39A219816
- Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 4Xn array.at n=5A219818
- 0 followed by the sum of (1),(2), (3,4),(5,6), (7,8,9),(10,11,12) from the natural numbers.at n=38A235355
- Number of length n+2 0..n arrays with no three elements in a row with pattern aba (with a!=b) and new values 0..n introduced in 0..n order.at n=6A243599