8428
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 17556
- Proper Divisor Sum (Aliquot Sum)
- 9128
- 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
- 3528
- Möbius Function
- 0
- Radical
- 602
- Omega Function (Ω)
- 5
- 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
- 158
- 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
- yes
- Odd
- no
Appears in sequences
- Number of compositions of n into a sum of odd primes.at n=41A002124
- Eleven iterations of Reverse and Add are needed to reach a palindrome.at n=23A015992
- Expansion of 1/((1-7*x)*(1-9*x)*(1-12*x)).at n=3A020972
- Sum of reciprocals of digits = 1.at n=43A037268
- Restricted partitions.at n=19A049284
- Triangle T(n,k), n >= 1, giving number of prime unoriented alternating links with n crossings and k components.at n=79A059739
- Write 0, 1, 2, 3, 4, ... in a triangular spiral, then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0, 7, ...at n=43A062725
- Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.at n=21A065216
- The terms of A055258 (sums of two powers of 7) divided by 2.at n=17A073218
- a(n) = lcm(n, A025586(n)), least common multiple of n and largest value in 3x+1 iteration list started at n.at n=42A087259
- a(n) = lcm(4n, A025586(4n)), least common multiple of 4n and the largest value in 3x+1 iteration list started at 4n.at n=42A087261
- Signed array used for numerators of generating functions of the column sequences of array A090452.at n=41A091029
- Number of quasi-triominoes in an n X n bounding box.at n=15A094170
- Largest achievable determinant of a 3 X 3 matrix whose elements are 9 distinct nonnegative integers chosen from the range 0..n.at n=11A097401
- a(n) = n^2*(n^3+1)/2.at n=7A101378
- a(n) = Sum_{k=0..n} binomial(2*n,k)*binomial(n,k)*binomial(2*k,n).at n=4A103870
- Number of permutations of length n which avoid the patterns 1234, 2341, 4312.at n=10A116750
- Number of partitions of n into powers of 2 or of 3.at n=53A131995
- Concatenation of first two digits and last two digits of n-th even perfect number.at n=33A138875
- A higher order recursion triangle sequence: m=3;l=3;e(n,k,m)=(l*k + m - 1)e(n - 1, k, m) + (m*n - l*k + 1 - m)e(n - 1, k - 1, m).at n=17A156278