7033
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7588
- Proper Divisor Sum (Aliquot Sum)
- 555
- 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
- 6480
- Möbius Function
- 1
- Radical
- 7033
- 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
- yes
- 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
- Number of n-node trees with a forbidden limb of length 5.at n=15A002991
- Numbers k such that the continued fraction for sqrt(k) has period 39.at n=8A020378
- a(n) = floor(exp(1/3)*n!).at n=6A030977
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 8.at n=40A064906
- Number of distinct values of multinomial coefficients ( n / (p1, p2, p3, ...) ) where (p1, p2, p3, ...) runs over all partitions of n.at n=38A070289
- Interprimes (A024675) which are of the form s*prime, s=13.at n=4A075288
- Numbers k such that 3*k! + 1 is prime.at n=19A076679
- k such that 2kp+1 is the first factor of a nonprime Mersenne number M(p) = 2^p - 1.at n=26A079324
- Constant term when a polynomial of degree <= n is fitted to the first n+1 upper members of the twin prime pairs.at n=10A082675
- a(n) is the number of numbers m < 10^n for which there is at least one k such that k + reverse(k) = m.at n=6A088180
- Minimal peaks in digital expansions of Pi: positions of peaks equal to 1.at n=8A105275
- Nearest integer to locations of increasingly large peaks of abs(zeta(0.5 + i*2*(Pi/log(2))*t)) for increasing real t.at n=44A117536
- Locations of the increasing peak values of the integral of the absolute value of the Riemann zeta function between successive zeros on the critical line. This can also be defined in terms of the Z function; if t and s are successive zeros of a renormalized Z function, z(x) = Z(2 Pi x/log(2)), then take the integral between t and s of |z(x)|. For each successively higher value of this integral, the corresponding term of the integer sequence is r = (t+s)/2 rounded to the nearest integer.at n=20A117538
- Semiprimes which are divisible by the sum of their digits.at n=43A118693
- Start with 1027 and repeatedly reverse the digits and add 16 to get the next term.at n=12A119455
- Odd interprimes divisible by 13.at n=32A124619
- A bisection of A129095: a(n) = A129095(2n-1) for n>=1.at n=40A129096
- Number of n X n binary arrays with all ones connected only in a 0110-1111 pattern in any orientation.at n=6A146381
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 0110-1111 pattern in any orientation.at n=14A146383
- Numbers k such that k^2 == 2 (mod 23^2).at n=26A156849