8975
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 2185
- 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
- 7160
- Möbius Function
- 0
- Radical
- 1795
- 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
- 47
- 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
- Least k such that first k terms of A022300 contain n more 2's than 1's.at n=8A025515
- Denominators of continued fraction convergents to sqrt(188).at n=8A041349
- Numbers whose base-4 representation contains exactly three 0's and three 3's.at n=34A045079
- Digitally balanced numbers in both bases 2 and 3.at n=27A049361
- a(n) = n + max{ a(i)*a(n-i) ; 1 <= i <= n-1 }, a(n) = n for n <= 2.at n=15A054253
- a(n) = n*(8*n^2 - 5)/3.at n=15A063523
- a(0)=a(1)=1. For n >= 2, a(n) = a(n-2) + a(n-1) + (number of terms from among {a(0),a(1),a(2),...a(n-1)} which are <= n).at n=17A128610
- A144325(n) + A144313(n) + A144315(n).at n=20A144715
- Riordan array (1, (A000045(x)/x-1) *A001006(A000045(x)/x-1) ).at n=29A187537
- Numbers that can be formed using its own digits in order and only addition and fourth power operators.at n=15A195672
- Second-order spt function.at n=15A221140
- Products of 3 evil primes (A027699) p,q,r, such that numbers p*q, p*r, q*r, and p*q*r are odious (A000069).at n=10A230353
- Number of representations of 0 as a sum of numbers d*k with d in {-1,1} and k in {1,2,...,n}, where the sum of the numbers k is 2n.at n=16A236429
- Number of squares of all sizes in 3*n*(n+1)/2-ominoes in form of three-quarters of Aztec diamonds.at n=27A258440
- Where the zeros in A123066 occur.at n=30A321962
- Partial sums of A323183.at n=32A323187
- Number of different values of x_1*x_2*...*x_n where x_1=1 and x_i-x_{i-1} is 0 or 1.at n=16A334635
- Irregular triangle read by rows: T(n,k) is the number of n-permutations whose fourth-longest cycle has length exactly k; n >= 0, 0 <= k <= floor(n/4).at n=13A350273
- Expansion of 1/sqrt((1-x)^3 * (1-13*x)).at n=4A383951