2383
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2384
- 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
- 2382
- Möbius Function
- -1
- Radical
- 2383
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 354
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=15A001136
- Numbers that are the sum of 10 positive 6th powers.at n=33A003366
- Coordination sequence T1 for Zeolite Code ATT.at n=35A008041
- Coordination sequence T2 for Zeolite Code DOH.at n=30A008079
- Crystal ball sequence for planar net 3.6.3.6.at n=32A008580
- Expansion of (1+x^5)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=53A008766
- Numbers k such that the continued fraction for sqrt(k) has period 36.at n=27A020375
- Least inverse of A001390, or 0 if no inverse exists.at n=12A020638
- Number of partitions of n that do not contain 7 as a part.at n=27A027341
- 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 47.at n=16A031545
- a(n) = prime(9*n - 6).at n=39A031913
- a(n) = prime(10*n - 6).at n=35A031914
- Numbers whose set of base-13 digits is {1,4}.at n=15A032825
- Primes of form x^2+79*y^2.at n=33A033251
- Primes of form x^2+87*y^2.at n=23A033256
- Number of partitions of n with equal number of parts congruent to each of 2, 3 and 4 (mod 5).at n=44A035581
- Increasing gaps among twin primes: the largest prime of the starting twin pair.at n=8A036061
- Numerators of continued fraction convergents to sqrt(124).at n=6A041224
- Numerators of continued fraction convergents to sqrt(496).at n=6A041946
- Numbers k such that string 1,7 occurs in the base 8 representation of k but not of k-1.at n=42A044202