8370
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 14670
- 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
- 2160
- Möbius Function
- 0
- Radical
- 930
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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
- Number of trimmed trees with n nodes.at n=18A002988
- Nearest integer to Gamma(n + 1/7)/Gamma(1/7).at n=9A020034
- a(n) = floor( Gamma(n+1/7)/Gamma(1/7) ).at n=9A020079
- a(n) = n*(23*n - 1)/2.at n=27A022280
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=47A026042
- Denominators of continued fraction convergents to sqrt(253).at n=10A041475
- Numbers k such that phi(k)*d(k) is a multiple of sigma(k), where d(k) is the number of divisors of k.at n=31A050934
- Engel expansion of 1/e = 0.367879... .at n=45A059193
- Numbers k such that sigma(x) = k has exactly 7 solutions.at n=33A060663
- Engel expansion of sinh(1/3).at n=15A068380
- Numbers k such that tau_3(k) (the number of ordered factorizations of k as k = r*s*t) divides k.at n=36A069147
- Successive powers of the matrix A=[1,2;3,4] written by rows in groups of 4.at n=21A100638
- {a(n)} is monotone increasing, with a(1)=1, a(2)=3 and, for n>2, a(n) is the smallest integer such that a(n) mod a(j) is never a(i) for any pair i,j with 1<=i<j<n.at n=42A100812
- Numbers k such that 4*k-1, 8*k-1 and 16*k-1 are all primes.at n=43A101790
- Numbers which are the sum of three positive cubes and divisible by 31.at n=37A104054
- Number of 3-almost primes t such that 2^n < t <= 2^(n+1).at n=15A120034
- Pairs (j, k) of numbers j<k such that phi(j) = phi(k), sigma(j) = sigma(k), d(j) = d(k).at n=26A134922
- Number of 5-way intersections in the interior of a regular 6n-gon.at n=30A137939
- Eigentriangle of triangle A022166: T(n,k) = A022166(n,k) * A125812(k).at n=24A143774
- 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, 1), (-1, 0, 1), (0, 1, -1), (1, 0, 1)}.at n=9A148775