3983
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4560
- Proper Divisor Sum (Aliquot Sum)
- 577
- 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
- 3408
- Möbius Function
- 1
- Radical
- 3983
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 51
- 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
- Coordination sequence T4 for Zeolite Code EUO.at n=39A008099
- Expansion of 1/((1-x)(1-4x)(1-6x)).at n=4A016222
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 9.at n=40A031412
- Least term in period of continued fraction for sqrt(n) is 9.at n=6A031433
- Numbers whose concatenation of prime factors (with multiplicity) is a square.at n=15A038693
- Number of partitions satisfying cn(2,5) < cn(0,5) + cn(1,5) + cn(4,5) and cn(3,5) < cn(0,5) + cn(1,5) + cn(4,5).at n=29A039873
- Partial sums of A054469.at n=7A054470
- Number of different positive braids with n crossings of 4 strands.at n=10A054480
- Numbers n such that x^n + x^11 + 1 is irreducible over GF(2).at n=27A057481
- Numbers k such that k*2^m+1 is prime for exactly one exponent m in the range 0<=m<=k.at n=34A061155
- Integers for which the periodic part of the continued fraction for the square root of n begins with 9.at n=41A065012
- a(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals 3n.at n=28A070899
- Numbers k such that (68*10^(k-1) + 13)/9 is a depression prime.at n=12A082713
- a(1) = 1 and then least squarefree number such that every partial concatenation of 2 or more terms is a prime.at n=32A086475
- a(n) = Min{x : A073124(x) = 2n}.at n=33A096480
- The sum of the first n primes, minus n.at n=44A101301
- Alternating sum of diagonals in A060177.at n=63A104575
- Minimal peaks in digital expansions of Pi: positions of peaks equal to 1.at n=5A105275
- Numbers n such that digits of n are not present in n^4.at n=51A111116
- a(1) = 11, a(n) = least k such that concatenation of n copies of k with all previous concatenation gives a prime.at n=41A111477