3207
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4280
- Proper Divisor Sum (Aliquot Sum)
- 1073
- 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
- 2136
- Möbius Function
- 1
- Radical
- 3207
- 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
- 48
- 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
- Coefficients in the asymptotic expansions of modified Hankel functions h_1(z) and h_2(z), rounded to nearest integer.at n=9A002514
- Coordination sequence T8 for Zeolite Code MFI.at n=36A008171
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/29 ).at n=19A011939
- G.f.: (1+x)*(1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)/((1-x^2)*(1-x^4)*(1-x^6)*(1-x^8)*(1-x^10)).at n=52A014670
- Numbers n such that n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 is palindromic.at n=3A027579
- 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 36.at n=26A031534
- Numerators of continued fraction convergents to sqrt(691).at n=3A042328
- Numbers k such that the string 5,3 occurs in the base 9 representation of k but not of k-1.at n=43A044299
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=34A044339
- Numbers n such that string 0,7 occurs in the base 10 representation of n but not of n+1.at n=34A044720
- Becomes prime after exactly 6 iterations of f(x) = sum of prime factors of x.at n=29A047825
- 3*n^2-2*n+6.at n=33A047915
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 22.at n=38A051987
- a(n+1) = a(n) + a(n minus the number of terms of the same parity as n so far).at n=44A060729
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == n (mod 3) so far).at n=29A060730
- Limit of A069258(k,n) = number of partitions of 2*k into k-n prime parts, as k tends to infinity.at n=31A069259
- Sum of next n composite numbers.at n=16A072475
- Least number beginning with n such that every partial sum is a square.at n=31A095158
- Numbers n such that the numerator of Sum_{i=1..n} (1/i^2), in reduced form, is prime.at n=19A111354
- Number of permutations of [n] avoiding the pattern 1-23-4.at n=7A113227