7059
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10192
- Proper Divisor Sum (Aliquot Sum)
- 3133
- 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
- 4320
- Möbius Function
- -1
- Radical
- 7059
- 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
- 57
- 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
- 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 56.at n=18A031554
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 56.at n=2A031734
- Numbers k such that k^2 + k + 1, k^3 + k + 1 and k^4 + k + 1 are all prime.at n=27A057683
- Numbers k such that 7*2^k + 5 is prime.at n=17A058595
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=3A063048
- 'Reverse and Add!' trajectory of 7059.at n=0A063057
- Trisection of A007294.at n=32A073470
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=3A088753
- a(n) = a(n-1) + a([n/2]) + 1, a(1) = 1.at n=45A102378
- Expansion of 1 / Product_{n>=0} (1-q^(5n+1))(1-q^(5n+2))(1-q^(5n+3)).at n=42A107234
- Number of partitions of n into "number of partitions of n into 'number of partitions of n into partition numbers' numbers" numbers.at n=47A130899
- 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, 0, -1), (1, 0, 0)}.at n=7A150282
- Number of n X 4 binary arrays with all 1s connected, all corners 1, and no 1 having more than two 1s adjacent.at n=9A163735
- Number of n X 10 binary arrays with all 1s connected, all corners 1, and no 1 having more than two 1's adjacent.at n=3A163741
- Number of n-digit numbers in a cycle (including fixed points) under the Kaprekar map A151949.at n=41A164732
- Number of distinct solutions of Sum_{i=1..2}(x(2i-1)*x(2i)) = 0 (mod n), with x() only in 2..n-2.at n=38A180814
- Triangle read by rows: Pascal's triangle (A007318) times the Fibonacci triangle (A139375).at n=38A201165
- a(n) = (prime(n) - 1)*(prime(n+1) - 1)/2 + 3.at n=29A201498
- a(n) = 4*n^2 + 3.at n=42A222465
- Numbers k such that 3*R_(k+2) + 5*10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=21A257026