9792
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
- 42
- Divisor Sum
- 29718
- Proper Divisor Sum (Aliquot Sum)
- 19926
- 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
- 3072
- Möbius Function
- 0
- Radical
- 102
- Omega Function (Ω)
- 9
- 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
- 42
- 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
- a(n) = floor(sqrt( 2*Pi )^n).at n=10A001674
- Discriminants of totally real quartic fields (see comments).at n=36A002769
- High-temperature spin-1/2 Ising model series for second derivative of susceptibility with respect to magnetic field for hyper-body-centered-cubic lattice.at n=2A010367
- Theta series of 17-dimensional lattice Q'_17(6)^{+3}.at n=7A015164
- Theta series of 17-dimensional lattice Q'_17(6)^{+6}.at n=14A015165
- 3-automorphic numbers ending in 2: final digits of 3*n^2 agree with n.at n=3A030985
- Number of partitions of n with equal nonzero number of parts congruent to each of 1, 2 and 3 (mod 5).at n=60A035588
- Denominators of continued fraction convergents to sqrt(287).at n=7A041541
- Maximization of sums of cubes of integer differences (b_[ i ]-i)^3 over permutations {b_[ i ], for i-1,2,...,n} on first n integers.at n=22A049031
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 23 (most significant digit on right).at n=22A061952
- a(n) = number of partitions of primes into distinct (also odd) parts.at n=16A064688
- Triangle related to generalized Catalan numbers A064340.at n=17A067327
- Numbers k such that gcd(d(k^3), d(k)) is not a power of 2.at n=27A069781
- Numbers k such that the number of steps to reach 1 in '3x+1' problem equals tau(k), the number of divisors of k.at n=16A070980
- Product of terms of continued fraction expansion of (3/2)^n.at n=14A071337
- Euler's totient of numbers containing in their decimal representation only the digits 0 and 1.at n=16A077811
- Number of ways to partition 2n+1 into distinct positive integers.at n=29A078408
- Number of ways to partition 4*n+3 into distinct positive integers.at n=14A078410
- Triangle read by rows, T(n,k) = 2^(n-k)*[x^k] Euler_polynomial(n, x), for n >= 0, k >= 0.at n=47A081733
- Triangle read by rows: T(n,k) is the number of ordered trees with n edges and having k branches of even length (n>=0, 0<=k<=floor(n/2)).at n=39A102004