3912
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9840
- Proper Divisor Sum (Aliquot Sum)
- 5928
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1296
- Möbius Function
- 0
- Radical
- 978
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 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
- Numbers k such that 3*2^k + 1 is prime.at n=23A002253
- Coordination sequence T3 for Zeolite Code -WEN.at n=45A009864
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=32A017835
- Number of lines through exactly 6 points of an n X n grid of points.at n=40A018813
- Coordination sequence for lattice D*_4 (with edges defined by l_1 norm = 1).at n=9A035471
- Number of partitions of n into parts not of the form 25k, 25k+2 or 25k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 11 are greater than 1.at n=33A036001
- Partial sums of primes congruent to 5 mod 6.at n=29A038361
- Number of partitions satisfying cn(1,5) < cn(0,5) + cn(2,5) + cn(3,5) and cn(4,5) < cn(0,5) + cn(2,5) + cn(3,5).at n=31A039872
- Numbers n such that n through n+4 are divisible by the same number of distinct primes.at n=41A045933
- Discriminants of imaginary quadratic fields with class number 24 (negated).at n=39A048925
- Number of nondividing sets on {1,2,...,n}.at n=29A051014
- Expansion of (1-x)(1+x)/(1-2*x-3*x^2+2*x^4).at n=8A052979
- a(n) = |{m : multiplicative order of 3 mod m = n}|.at n=53A059885
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of three complementary pairs of simple musical tones: 7/6 and 12/7, 6/5 and 5/3 and 7/5 and 10/7.at n=24A060529
- Integer part of log(n^n)^(1 + log(1 + log(n))).at n=14A062449
- Form a conjugate partition of row with 1+1+1 in first row. all other rows are the union of their parents. a(n) = number of types of piles in the n-th row.at n=23A064480
- a(n) = Sum_{j=0..n} sigma_j(n).at n=4A065805
- a(n) = Sum_{j=0..floor(n/2)} (-1)^(j+floor(n/2))*S(2j+q), where S(n) are generalized tribonacci numbers (A001644) and q = (1-(-1)^n)/2.at n=14A074678
- A Wallis pair (x,y) satisfies sigma(x^2) = sigma(y^2); sequence gives x's for indecomposable Wallis pairs with x < y (ordered by values of x).at n=16A075768
- Sum of even-indexed primes.at n=29A077126