3593
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3594
- 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
- 3592
- Möbius Function
- -1
- Radical
- 3593
- 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
- 30
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 503
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Half-quartan primes: primes of the form p = (x^4 + y^4)/2.at n=4A002646
- Primes of form 3*k^2 - 3*k + 23.at n=30A007637
- Coordination sequence T1 for Zeolite Code ATT.at n=43A008041
- If a, b in sequence, so is ab+7.at n=31A009312
- Coordination sequence T4 for Zeolite Code ZON.at n=42A009922
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite CLO = Cloverite starting with a T4 atom.at n=5A019000
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=9A020372
- a(n) = b(n) + d(n), where b(n) = (n-th Lucas number > 3) and d(n) = (n-th non-Fibonacci number).at n=14A023487
- a(n) = b(n) + d(n), where b(n) = (n-th Lucas number > 1) and d(n) = (n-th non-Lucas number).at n=15A023493
- Convolution of Fibonacci numbers and {F(2), F(3), F(4), ...}.at n=12A023610
- Coordination sequence T1 for Zeolite Code IFR.at n=42A024982
- Primes of the form k^2 - 7.at n=8A028883
- Lower prime of a pair of consecutive primes having a difference of 14.at n=18A031932
- Primes of form x^2+62*y^2.at n=29A033240
- Primes of form x^2+86*y^2.at n=22A033255
- Multiplicity of highest weight (or singular) vectors associated with character chi_47 of Monster module.at n=49A034435
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+7 or 24k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=40A036032
- a(n)=(s(n)+1)/8, where s(n)=n-th base 8 palindrome that starts with 7.at n=19A043071
- Numbers having four 3's in base 5.at n=20A043364
- Numbers n such that string 9,3 occurs in the base 10 representation of n but not of n-1.at n=38A044425