8739
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12636
- Proper Divisor Sum (Aliquot Sum)
- 3897
- 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
- 5820
- Möbius Function
- 0
- Radical
- 2913
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(3*n^2 - 1)/2.at n=18A004188
- a(n) = A259095(2n,n).at n=20A005575
- Number of n-dimensional partitions of 5.at n=17A008779
- Fibonacci sequence beginning 3, 7.at n=16A022120
- Numbers whose set of base-16 digits is {2,3}.at n=15A032816
- Recip transform of 2*(1 + x^3 + x^5 + x^6)-1/(1-x).at n=8A049168
- Number of n X n matrices over GF(4) of order dividing 3 (i.e., number of solutions of X^3=I in GL(n,4)).at n=2A053857
- Numbers k such that 2^k + 3 is prime.at n=30A057732
- Numbers n such that the area of the parallelogram formed by the vectors (n, prime(n)) and (n+1, prime(n+1)) is an integer square, i.e., Det[{{n, prime(n)},{n+1, prime(n+1)}}] is an integer square.at n=32A067805
- First of triples of consecutive happy numbers, i.e., the first of three consecutive integers each of which is a happy number (A007770).at n=8A072494
- Interprimes which are of the form s*prime, s=9.at n=25A075284
- Recursive binary interleaving code for rooted plane binary trees, as ordered by A014486.at n=34A082856
- Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors. Rearrangements which cause leading zeros are excluded.at n=13A085844
- Base-4 digits are, in order, the first n terms of the sequence (1, 3, 21, 203, 2021, 20203, 202021, 2020203, 20202021, 202020203, ... ).at n=7A102865
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 0, -1), (-1, 1, 1), (1, 0, 0)}.at n=10A148069
- Triangle T(n, k) read by rows: T(n, k)= (m*n-m*k+1)*T(n-1, k-1) + k*(m*k-(m-1))*T(n-1, k) where m = 1.at n=25A166960
- Number of disconnected 2-regular simple graphs on n vertices with girth at least 4.at n=58A185224
- a(n) = sum(floor(sqrt(Bell(k))),k=0..n).at n=13A192571
- First of quadruples of consecutive happy numbers.at n=1A194352
- Row sums of an irregular triangle read by rows in which row n lists the next A026741(n+1) natural numbers A000027.at n=34A195309