7064
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13260
- Proper Divisor Sum (Aliquot Sum)
- 6196
- 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
- 3528
- Möbius Function
- 0
- Radical
- 1766
- Omega Function (Ω)
- 4
- 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
- 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
- Maximal length of rook tour on an n X n board.at n=21A006071
- 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 21.at n=31A031519
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 21.at n=3A031699
- Gaps of 7 in sequence A038593 (upper terms).at n=23A038654
- Numbers ending with '4' that are the difference of two positive cubes.at n=18A038859
- Becomes prime or 4 after exactly 8 iterations of f(x) = sum of prime factors of x.at n=20A048130
- Highest m such that prime(m) divides the n-th pandigital (A050278).at n=11A071924
- Numbers k such that k*4^k-1 is prime.at n=15A086661
- Numbers k such that p(k), p(k)+6, p(k)+12, p(k)+18 are consecutive primes, where p(k) denotes k-th prime.at n=23A090832
- Numbers n such that p(n),p(n)+6,p(n)+12,p(n)+18 are consecutive primes and p(n)=6*k+1 for some k, where p(n) denotes n-th prime.at n=11A090838
- Binary representation of a(n) equals first n+1 terms of A051023.at n=12A092539
- Increasing gaps in A038593 (lower terms).at n=11A093342
- Duplicate of A093342.at n=11A093389
- Fundamental discriminants of real quadratic number fields with class number 5.at n=31A094614
- Number of different isotemporal classes of diasters with n peripheral edges.at n=42A109622
- Numbers k such that k and k^2 use only the digits 0, 4, 6, 7 and 9.at n=12A136955
- G.f.: -2*(-2 - 11*x - 4*x^2 + x^3)/(x - 1)^4.at n=10A152110
- Maximal length of rook tour on an n X n+2 board.at n=20A152133
- a(n) = 441n^2 + 2n.at n=3A158321
- Number of permutations of 1..n containing the relative rank sequence { 52431 } at any spacing.at n=3A158437