8242
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13356
- Proper Divisor Sum (Aliquot Sum)
- 5114
- 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
- 3792
- Möbius Function
- -1
- Radical
- 8242
- 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
- 65
- 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
- Numbers k such that 7!*(2k-8)!/(k!*(k-1)!) is an integer.at n=11A004787
- Nonperiodic autocorrelation functions of length n.at n=14A006606
- Numbers k such that the continued fraction for sqrt(k) has period 29.at n=19A020368
- Numbers whose base-4 representation contains exactly four 0's and no 1's.at n=30A045033
- Numbers whose base-4 representation contains exactly four 0's and two 2's.at n=30A045059
- Numbers n such that n concatenated with n-1 is a square.at n=1A054214
- Expansion of (-1+3*x-5*x^2+4*x^3) / ((1-2*x)*(2*x^2-1)*(x-1)^2).at n=12A114960
- Duplicate of A054214.at n=1A116123
- Duplicate of A054214.at n=1A116142
- Number of distinct representations of 8n^3 as the sum of two primes.at n=44A116981
- Numbers k such that k divides 1 + Sum_{j=1..k} prime(j)^7.at n=12A128171
- a(n) = 4*n^2 + 28*n + 10.at n=41A153644
- a(n) = 5*n^2 - 4*n + 1.at n=41A190816
- Numbers k such that A057775(k) is the factor of a Fermat number 2^(2^m) + 1 for some m.at n=39A201364
- Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001.at n=4A260243
- Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001.at n=2A260245
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001.at n=23A260248
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001001.at n=25A260248
- Number of n X n 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1), (-1,0), (-1,1), (0,-1), (0,1), (1,-1), (1,0) or (1,1), with upper left element zero.at n=3A278202
- Number of nX4 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) (1,0) or (1,1), with upper left element zero.at n=3A278204