9477
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
- 5
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 15302
- Proper Divisor Sum (Aliquot Sum)
- 5825
- 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
- 5832
- Möbius Function
- 0
- Radical
- 39
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 2
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
- 122
- 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
- no
- Odd
- yes
Appears in sequences
- Associated Mersenne numbers.at n=24A001351
- Hadamard maximal determinant problem: largest determinant of a (real) {0,1}-matrix of order n.at n=13A003432
- a(n) = n*(n+1)^2/2.at n=26A006002
- Numbers k that divide s(k), where s(1)=1, s(j)=13*s(j-1)+j.at n=26A014861
- Triangle T(n,k) read by rows, arising in enumeration of catafusenes.at n=53A024462
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 3 (most significant digit on left).at n=20A029448
- Numbers with 14 divisors.at n=38A030632
- Next-to-last diagonal of A024462.at n=8A038765
- Numbers having three 0's in base 9.at n=35A043455
- Numbers k that divide 7^k + 2^k.at n=29A045580
- Numbers k that divide 7^k + 5^k.at n=24A045596
- Odd numbers divisible by exactly 7 primes (counted with multiplicity).at n=6A046320
- a(n) = 2^(n-1)*(5*n-8) + 5.at n=9A048498
- Composite numbers k such that sigma(k) / d(k) is prime.at n=15A048969
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n-1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 4.at n=13A049945
- Least k for which the integers Floor(k/m^2) for m=1,2,...,n are distinct.at n=30A054062
- Numbers n such that n | 9^n + 8^n + 7^n + 6^n + 5^n + 4^n.at n=25A057260
- Numbers k such that k | 8^k + 7^k + 6^k + 5^k + 4^k + 3^k.at n=44A057261
- McKay-Thompson series of class 42b for Monster.at n=48A058676
- Number of finite positive integer sequences b(1),...,b(k), with k <= n and b(1)*b(2)*...*b(k) <= n.at n=12A064453