9432
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 25740
- Proper Divisor Sum (Aliquot Sum)
- 16308
- 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
- 3120
- Möbius Function
- 0
- Radical
- 786
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=32A003405
- From Engel product expansion of 4/7.at n=15A007768
- If a, b in sequence, so is ab+8.at n=35A009331
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 23.at n=41A031521
- Number of rooted trees with 3-colored nodes.at n=5A038059
- Numbers whose base-7 representation contains exactly four 3's.at n=26A043408
- Coefficient of x^(-n) in expansion of continued fraction 0, x, x^2, x^3, x^4, ... .at n=55A049346
- Numbers n such that 243*2^n-1 is prime.at n=37A050880
- Number of partitions of n with nonnegative crank.at n=36A064428
- Least multiple of prime(n) ending in digits of n.at n=28A114012
- Lynch-Bell numbers k such that 1 is not a digit of k.at n=50A116960
- Number of different quartets of 4 differents bemirps of n digits.at n=14A123058
- Row sums of triangle A131252.at n=14A131253
- Multiply by 9 and reverse.at n=4A133361
- Number of 3 X 3 semimagic squares with distinct positive values and magic sum n.at n=11A173547
- Average of twin prime pairs with multiple and strictly distinct powers.at n=18A177426
- Numbers divisible by at least four of their digits, different and >1.at n=24A187238
- G.f.: 1/G(0) where G(k) = 1 + (-q)^(k+1) / (1 - (-q)^(k+1)/G(k+1) ).at n=55A227310
- a(n) = Sum_{i=0..n} digsum(i)^3, where digsum(i) = A007953(i).at n=30A231688
- a(0) = 16, after which, if a(n-1) = product_{k >= 1} (p_k)^(c_k), then a(n) = (1/2) * (1 + product_{k >= 1} (p_{k+1})^(c_k)), where p_k indicates the k-th prime, A000040(k).at n=51A246344