7062
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15552
- Proper Divisor Sum (Aliquot Sum)
- 8490
- 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
- 2120
- Möbius Function
- 1
- Radical
- 7062
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 101
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = n*(13*n - 1)/2.at n=33A022270
- Expansion of 1/((1-3x)(1-4x)(1-9x)(1-11x)).at n=3A028048
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 28.at n=5A031706
- Revert transform of (1 - x - 2x^2 + x^3)/(1 - 2x^2 - 2x^3).at n=10A049143
- Fifth column (m=4) of triangle A060098.at n=10A060100
- Bisection of triangle A060098: even-indexed members of column sequences of A060098 (not counting leading zeros).at n=49A060102
- Fifth column (m=4) of triangle A060102.at n=5A060104
- A001067 appears to count the periodic points for a certain map. If so, then this is the sequence of the numbers of orbits of length n.at n=10A060309
- Sum of the reverses of the first n primes.at n=35A071602
- Group successively larger prime numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum for each group.at n=32A074128
- Products of Wythoff pairs: [n*r]*[n*r^2], where [] is the floor function and r is the golden ratio, (1+sqrt(5))/2.at n=40A075312
- <h[d,d],s[d,d]*s[d,d]*s[d,d]> where h[d,d] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions.at n=29A115375
- Maximal length of rook tour on an n X n+4 board.at n=19A152135
- 6 times heptagonal numbers: a(n) = 3*n*(5*n-3).at n=22A153786
- a(n) = 36*n^2 + 6.at n=13A158479
- Numbers k for which 6k+1, 24k+5, 432k^2+72k-1, and 432k^2+90k-1 are all prime.at n=16A175513
- Expansion of (1/(1+4x+2x^2))*c(x/(1+4x+2x^2)), c(x) the g.f. of A000108.at n=8A184120
- a(n) = n*(14*n + 13).at n=22A195028
- a(n) = (1/n) * A205454(n).at n=44A205455
- G.f.: Sum_{n>=0} Product_{k=1..n} (1 - (1-x)^k)/(1 - x^k).at n=8A207651