1753
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1754
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 1752
- Möbius Function
- -1
- Radical
- 1753
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 273
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p of the form 3k+1 such that -sqrt(p) < sum_{x=1..p} cos(2*Pi*x^3/p) < sqrt(p).at n=39A000922
- Primes with 7 as smallest primitive root.at n=15A001126
- a(n) = least value of m for which Liouville's function A002819(m) = -n.at n=45A002053
- Smallest primitive factor of 2^(2n+1) + 1.at n=36A002185
- Largest prime factor of n! - 1.at n=6A002582
- Number of bipartite partitions.at n=10A002768
- Numbers that are the sum of 4 positive 5th powers.at n=24A003349
- Expansion of tan(x /cosh(x)).at n=4A003700
- Primes of the form 2^a + 3^b.at n=34A004051
- Convolution of A002024 with itself.at n=46A004797
- a(n) = least integer m > a(n-1) such that m - a(n-1) != a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2.at n=40A004978
- Class 4+ primes (for definition see A005105).at n=29A005108
- Primes p such that (p+1)/2 is prime.at n=31A005383
- Numbers k such that k-6, k, and k+6 are primes.at n=44A006489
- Denominators of worst case for Engel expansion.at n=25A006540
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=22A006562
- Primes of form x^3 + y^3 + z^3 where x,y,z > 0.at n=41A007490
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=22A007766
- Coordination sequence T2 for Zeolite Code AET.at n=29A008008
- Coordination sequence T1 for Zeolite Code APC.at n=29A008032