4675
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6696
- Proper Divisor Sum (Aliquot Sum)
- 2021
- 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
- 3200
- Möbius Function
- 0
- Radical
- 935
- Omega Function (Ω)
- 4
- 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
- 59
- 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
- Expansion of 1/((1-6x)(1-7x)(1-10x)).at n=3A020572
- a(n) = n*(15*n - 1)/2.at n=25A022272
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 11 ones.at n=11A031779
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=8A031902
- a(n) = (2*n - 1)*(3*n + 1).at n=28A033569
- Numbers whose base-5 representation contains exactly two 0's and three 2's.at n=15A045183
- a(n) = (n+1)*(n+2)*(n+3)*(9n+4)/24.at n=9A051798
- Number of objects generated by the Combstruct grammar defined in the Maple program. See the link for the grammar specification.at n=8A052879
- a(n) = n*(n - 1)*(2*n^2 + n + 2)/6.at n=11A071246
- Numbers m that divide binomial(m*(m+1), m+1)/m^2.at n=31A082529
- Numbers n such that (A006530(n) + A020639(n))/2 is an integer, divides n and it is not a power of prime number: it has at least 2 distinct prime factors. Special terms of A088948.at n=32A088595
- Number of primes less than 10^n which do not contain the digit 1.at n=4A091635
- Number of initial odd numbers in class n of the iterated phi function.at n=28A092878
- Least number k such that k! in binary representation contains a run of exactly n consecutive nontrivial zeros.at n=23A094010
- Indices of primes in sequence defined by A(0) = 49, A(n) = 10*A(n-1) - 11 for n > 0.at n=6A101733
- Denominator of f(n) := Product_{i=1..n} sigma(i)/i.at n=17A111934
- Denominator of f(n) := Product_{i=1..n} sigma(i)/i.at n=16A111934
- Partial sums of cupolar numbers (1/3)*(n+1)*(5*n^2+7*n+3) (A096000).at n=9A117066
- Number of fusenes with 23 hexagons, C_(2v) symmetry and containing n carbon atoms.at n=11A122097
- a(n) = (n + 1)*(n^2 + 2)*(n^3 + 3)*(n^4 + 4)/4!.at n=3A129995