8425
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10478
- Proper Divisor Sum (Aliquot Sum)
- 2053
- 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
- 6720
- Möbius Function
- 0
- Radical
- 1685
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 202
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=12A020396
- a(n) = n*(27*n - 1)/2.at n=25A022284
- a(n) = Sum_{k=0..2n} (k+1) * A027052(n, 2n-k).at n=8A027076
- Expansion of 1/((1-2x)(1-8x)(1-9x)(1-10x)).at n=3A028015
- Expansion of 1/((1+3*x)*(1-4*x)).at n=7A053404
- Numbers k such that x^k + x^3 + 1 is irreducible over GF(2).at n=33A057461
- Numbers n such that x^n + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=26A057496
- Numbers n such that n = pi(n)*k + 1 for some k.at n=23A065136
- Centered 24-gonal numbers.at n=26A069190
- Table by antidiagonals of T(n,k) = ((n+1)^k - (-n)^k)/(2*n+1).at n=69A072024
- Numbers n such that n and n+2 are of the form p^2*q where p and q are distinct primes.at n=29A074173
- Numbers k such that there are exactly 8 numbers j for which binomial(k, floor(k/2)) / binomial(k,j) is an integer, i.e., A080383(k) = 8.at n=45A080386
- Array T(k,n), read by antidiagonals: T(k,n) = ((k+1)^(n+1)-(-k)^(n+1))/(2k+1).at n=62A081297
- Numbers n such that A003313(n) = A003313(2n).at n=34A086878
- a(n) = (1/n!)*A001688(n).at n=8A094793
- a(n) = 2^n + Fibonacci(n).at n=13A117591
- Row sums of number triangle A124790.at n=12A124791
- a(n) = n*(n^2 + 2*n - 1)/2.at n=24A127736
- a(n) = 15*n^2 - 9*n + 1.at n=24A134154
- Wiener index of the prism graph Y_n on 2n nodes.at n=24A138179