9478
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16272
- Proper Divisor Sum (Aliquot Sum)
- 6794
- 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
- 4056
- Möbius Function
- -1
- Radical
- 9478
- Omega Function (Ω)
- 3
- 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
- 122
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = Sum_{0 <= i < j <= n} (prime(j) - prime(i))^2, where prime(0) = 1.at n=9A024526
- Least m such that if r and s in {1/1, 1/4, 1/9,..., 1/n^2} satisfy r < s, then r < k/m < s for some integer k.at n=29A024827
- [ exp(12/19)*n! ].at n=6A030866
- "DFK" (bracelet, size, unlabeled) transform of 1,3,5,7...at n=14A032217
- Numbers whose set of base-13 digits is {1,4}.at n=26A032825
- Number of partitions of n such that cn(0,5) = cn(1,5) = cn(3,5) < cn(2,5) = cn(4,5).at n=75A036869
- Numbers k such that k^8 == 1 (mod 9^3).at n=26A056084
- Smallest integer > 1 which is both n-gonal and centered n-gonal.at n=24A072277
- Non-palindromic n and its digit reversal have the same sum of prime factors (with repetition).at n=29A085607
- a(n) = Sum_{i=1..n} C(i+4,5)^3.at n=2A086026
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=37A132184
- Triangle read by rows, A000012^(-1) * A152431.at n=36A152433
- Triangle read by rows, A000012^(-1) * A152431.at n=46A152433
- a(n) = 729*n + 1.at n=12A158397
- a(n) = n*(n^2 - 4*n + 5)/2.at n=28A162607
- Numbers n with property that n^3+n^2+{3,5} are twin primes.at n=30A168254
- Number of strings of numbers x(i=1..n) in 0..6 with sum i*x(i)^2 equal to n*36.at n=7A184438
- Number of strings of numbers x(i=1..8) in 0..n with sum i*x(i)^2 equal to n*64.at n=5A184447
- a(n) is the optimal wire-length for an n X n grid.at n=21A195647
- Number of partitions of n such that the sum of squares of the parts is a square.at n=54A240127