3232
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6426
- Proper Divisor Sum (Aliquot Sum)
- 3194
- 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
- 1600
- Möbius Function
- 0
- Radical
- 202
- Omega Function (Ω)
- 6
- 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
- 30
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of 1/((1-x)*(1-2*x)*(1-x-2*x^3)).at n=9A003230
- Number of vectors abcdefg with a,b,... >= 0, a+...+g=n, a>={b,...g}.at n=12A014073
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=31A020338
- Product of n with 666 is palindromic.at n=18A030094
- 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 27.at n=24A031525
- Numbers using only digits 2 and 3.at n=24A032810
- Smallest integral value of m/(sum of digits of m) for any n-digit number m.at n=5A034726
- Number of partitions of n into parts not of the form 25k, 25k+10 or 25k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=27A036009
- Number of isomers C_n H_{2n} without double bonds.at n=11A036671
- 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=28A039873
- a(n) = Sum_{k=1..n} T(n,k), array T as in A049790.at n=20A049791
- Expansion of ( 1-x ) / ( 1-x-x^2-x^4+x^5 ).at n=18A052989
- a(n) contains n digits (either '2' or '3') and is divisible by 2^n.at n=3A053316
- Moments of generalized Motzkin paths.at n=11A053441
- Numbers k such that phi(sigma(k^3)) is a square.at n=38A063796
- 1/n has period 4 in base 10.at n=19A069858
- Numbers k such that S(k+2) = d(k)+2, where S(k) is the Kempner function (A002034) and d(k) is the number of divisors of k (A000005).at n=24A073535
- Self-convolution of A073739; odd-indexed terms are twice the odd primes.at n=40A073740
- Multiples of 4 using only prime digits (2, 3, 5 and 7).at n=27A077534
- Expansion of 1/(1+2*x+2*x^2-2*x^3).at n=13A077991