8490
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20448
- Proper Divisor Sum (Aliquot Sum)
- 11958
- 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
- 2256
- Möbius Function
- 1
- Radical
- 8490
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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
- Number of compositions of n into 5 ordered relatively prime parts.at n=19A000743
- Number of cycles in the complement of a path.at n=9A006184
- Least term in period of continued fraction for sqrt(n) is 7.at n=16A031431
- Decimal part of cube root of a(n) starts with 4: first term of runs.at n=19A034130
- Number of partitions satisfying (cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=35A036801
- Numbers whose base-4 representation contains exactly two 0's and four 2's.at n=33A045051
- Smallest value of x such that M(x) = n, where M() is Mertens's function A002321.at n=27A051400
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n.at n=34A057250
- Total number of parts in all partitions of n into odd parts.at n=37A067588
- Numbers k such that the number of primes between k and 2k (inclusive) is equal to the number of primes between k and reverse(k) (inclusive).at n=22A074814
- Conjectured lower bound for the number of spheres of radius 1 that can be packed in a sphere of radius n.at n=21A121346
- Number of base 14 n-digit numbers with adjacent digits differing by one or less.at n=7A126368
- Number of binary words of length n containing at least one subword 10^{7}1 and no subwords 10^{i}1 with i<7.at n=44A143287
- a(n) = 250*n - 10.at n=33A154378
- G.f.: A(x) = exp( Sum_{n>=1} 3*A038500(n) * x^n/n ), where A038500 is the highest power of 3 dividing n.at n=28A161809
- Numbers k such that k^2 +-11 are primes.at n=27A176683
- Number of n X 7 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.at n=12A188864
- Numbers n for which n' + n and n' - n are both prime, n' being the arithmetic derivative of n.at n=23A229272
- Number of nonnegative integers with property that their base 10/7 expansion has n digits.at n=20A245431
- Numbers k with the property that p = k^2 - 11 and q = k^2 + 11 are consecutive primes.at n=11A248790