4091
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4092
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4090
- Möbius Function
- -1
- Radical
- 4091
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 126
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 563
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Generalized sum of divisors function.at n=45A002130
- Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=16A002148
- a(n) = n^3 - floor( n/3 ).at n=16A002901
- f-vectors for simplicial complexes of dimension at most 1 (graphs) on at most n-1 vertices.at n=29A011826
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=30A020385
- Primes that remain prime through 2 iterations of function f(x) = 6x + 1.at n=38A023256
- Primes that remain prime through 3 iterations of function f(x) = 6x + 1.at n=4A023287
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=33A023288
- Primes that remain prime through 3 iterations of function f(x) = 9x + 2.at n=17A023296
- Primes that remain prime through 4 iterations of function f(x) = 9x + 2.at n=7A023324
- Coordination sequence T1 for Zeolite Code SAT.at n=46A027373
- Primes of form k^2 - 5.at n=17A028877
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 63.at n=10A031561
- Upper prime of a difference of 12 between consecutive primes.at n=40A031931
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=28A033548
- Number of partitions in parts not of the form 17k, 17k+3 or 17k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=32A035964
- Partial sums of primes congruent to 1 mod 6.at n=28A038349
- Sums of 11 distinct powers of 2.at n=9A038462
- Primes with indices that are primes with prime indices.at n=26A038580
- a(n)=(s(n)+6)/10, where s(n)=n-th base 10 palindrome that starts with 4.at n=31A043083