9630
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
- 24
- Divisor Sum
- 25272
- Proper Divisor Sum (Aliquot Sum)
- 15642
- 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
- 2544
- Möbius Function
- 0
- Radical
- 3210
- Omega Function (Ω)
- 5
- 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
- 73
- 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
- Quadruples of different integers from [ 1,n ] with no common factors between pairs.at n=37A015623
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t = A008578 ({1} U primes).at n=30A023862
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=35A026044
- Expansion of 1/((1-3x)(1-5x)(1-10x)(1-12x)).at n=3A028072
- Numbers k such that A174141(k) is divisible by k.at n=37A032581
- Integer nearest to Li(10^n), where Li(x) = integral(0..x, dt/log(t)).at n=4A057754
- Numbers k such that k-1, k+1 and k^2+1 are prime numbers.at n=23A070155
- Numbers n such that ((n-1)^2+1)/2 and n^2+1 and ((n+1)^2+1)/2 are prime if n is even or (n-1)^2+1 and (n^2+1)/2 and (n+1)^2+1 are prime if n is odd.at n=44A082612
- Numbers whose natural logarithm, in base 10, starts with 10 distinct digits.at n=1A113509
- Number of permutations of length n which avoid the patterns 231, 3214, 4312.at n=12A116712
- Numbers m such that m^4-1 has no divisors d with 1 < d < m-1.at n=24A129293
- 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), (-1, 1, 0), (1, -1, 0), (1, 1, 0)}.at n=8A149282
- 5 times pentagonal numbers: 5*n*(3*n-1)/2.at n=36A152734
- Twice 13-gonal numbers: a(n) = n*(11*n - 9).at n=30A152997
- Averages of twin prime pairs such that p1 * p2 + AverageTwinPrime is prime.at n=36A154667
- Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 4,2 5,3 5,4 5,5 polyhexes in any orientation on a planar n X n X n triangular grid.at n=8A155402
- Triangle formed by coefficients of the expansion of p(x, n), where p(x,n) = (1+x-x^2)^(n+1)*Sum_{j >= 0} (j+1)^n*(-x + x^2)^j.at n=41A156890
- Averages of twin prime pairs that are sums of 5 consecutive averages of twin prime pairs.at n=8A160919
- Even numbers which are the sum of two odd abundant numbers.at n=28A168226
- A185243(n) is the a(n)-th triangular number.at n=42A185257