4373
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4374
- 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
- 4372
- Möbius Function
- -1
- Radical
- 4373
- 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
- 33
- 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
- 597
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Class 1+ primes: primes of the form 2^i*3^j - 1 with i, j >= 0.at n=21A005105
- Numbers k such that the continued fraction for sqrt(k) has period 27.at n=15A020366
- Plaindromes: numbers whose digits in base 3 are in nondecreasing order.at n=43A023745
- Primes which when concatenated with next 3 primes are also prime.at n=34A030472
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 5.at n=23A031418
- Lower prime of a difference of 18 between consecutive primes.at n=12A031936
- a(n) = 2*n^2 + 3*n + 3.at n=46A033816
- Molien series for 3-D group R2+R3.at n=33A037242
- Sums of 5 distinct powers of 4.at n=7A038473
- Numbers whose base-7 representation contains exactly three 5's.at n=35A043415
- Numbers having three 8's in base 9.at n=5A043487
- Numbers whose base-3 representation contains no 0's and exactly one 1.at n=28A044966
- Numbers whose base-5 representation contains exactly two 1's and three 4's.at n=25A045258
- Primes of the form n*phi(n)-1 where phi is the Euler function (in order of appearance).at n=36A046078
- F-primes.at n=40A046872
- Array T read by diagonals: T(k,n) = 2^(k-1) * (3^n - 1) + 1.at n=47A048471
- a(0)=1, a(n) = 3*a(n-1) + 2; a(n) = 2*3^n - 1.at n=7A048473
- Primes p such that pp'-2 is prime, where p' denotes the next prime after p.at n=21A048797
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 11.at n=16A050960
- Prime powers such that 1 + lcm(1,2,...,p^w) is prime.at n=18A051453