8415
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
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16848
- Proper Divisor Sum (Aliquot Sum)
- 8433
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 2805
- Omega Function (Ω)
- 5
- 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
- 109
- 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
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=17A005231
- Odd primitive abundant numbers.at n=13A006038
- Expansion of Product (1 - x^k)^10 in powers of x.at n=42A010818
- a(n) = floor( n*(n-1)*(n-2)/22 ).at n=58A011904
- Numerator of n*(n-2)*(2*n-1)/(2*(n-1)).at n=15A022997
- Number of 5's in all partitions of n.at n=34A024789
- 6th-order Patalan numbers (generalization of Catalan numbers).at n=4A025751
- Sums of five consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2.at n=39A027578
- Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=5A031947
- Number of aperiodic bracelets (turnover necklaces) with n beads of 3 colors.at n=10A032294
- A convolution triangle of numbers obtained from A025751.at n=6A049224
- Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's.at n=5A049357
- Maximal value of products of partitions of n into powers of distinct primes (powers of 1 and 2 excluded).at n=42A051704
- a(n) = binomial(n+4,4)*(2*n+1).at n=8A051880
- Numbers k such that 9*10^k - 1 is prime.at n=8A056725
- Numbers that are sums of 2 or more consecutive squares in more than 1 way.at n=15A062681
- a(n) = n*(5*n^2 - 3)/2.at n=15A063522
- Numbers k such that binomial(prime(k), k) is divisible by k^2.at n=24A081384
- Odd numbers k such that abs(sigma(k)-2k) <= sqrt(k). Abundance-radius = abs(sigma(k)-2k) does not exceed square root of k and k is odd.at n=6A087415
- Odd numbers n such that abs(sigma(n)-2n) <= n^(1/3). Abundance-radius = abs(sigma(n)-2n) does not exceed cubic root of n and n is odd.at n=3A088010