8735
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10488
- Proper Divisor Sum (Aliquot Sum)
- 1753
- 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
- 6984
- Möbius Function
- 1
- Radical
- 8735
- 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
- 140
- 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
- a(n) = 1 + n/2 + 9*n^2/2.at n=44A006137
- Sum along upward diagonal of Pascal triangle from (but not including) center.at n=23A010756
- Sum along upward diagonal of Pascal triangle from center.at n=23A010757
- a(n) = T(n, 2*n-7), T given by A027926.at n=11A027930
- a(n) = T(2n+1, n+4), T given by A027948.at n=4A027956
- [ exp(11/20)*n! ].at n=6A030855
- Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=12A031947
- Base-2 digital convolution sequence.at n=38A033639
- Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's.at n=12A049357
- Partial sums of A053296.at n=7A053308
- Self-convolution of A073711.at n=32A073712
- Number of 6-almost primes 6ap such that 2^n < 6ap <= 2^(n+1).at n=17A120037
- Number of Dyck paths such that the sum of the peak-abscissae is n.at n=45A129528
- A144325(n) + A144313(n) + A144315(n).at n=19A144715
- The third column of the Lucas Fibonacci sum of binomials A175685.at n=24A175712
- a(n) = A136431(n,n).at n=8A176085
- Number of (w,x,y) with all terms in {0,...,n} and |w-x|+|x-y|+|y-w| <= w+x+y.at n=22A213487
- Number of (w,x,y) with all terms in {0,...,n} and w != min(|w-x|, |x-y|).at n=20A213499
- Numbers k such that 2^k + 33 is prime.at n=28A247953
- Sum over all partitions of n of the number of distinct parts i of multiplicity i+1.at n=39A276434