5971
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
- 4
- Divisor Sum
- 6832
- Proper Divisor Sum (Aliquot Sum)
- 861
- 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
- 5112
- Möbius Function
- 1
- Radical
- 5971
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 142
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=30A004966
- Coordination sequence T1 for Banalsite.at n=46A008249
- Coordination sequence T2 for Banalsite.at n=46A008250
- Expansion of g.f. 1/((1-3*x)*(1-4*x)*(1-6*x)).at n=4A016765
- Numbers k such that the continued fraction for sqrt(k) has period 84.at n=13A020423
- Sums of six consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2.at n=29A027865
- 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 11.at n=44A031509
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=15A031812
- Numbers k such that 117*2^k+1 is prime.at n=17A032408
- Multiplicity of highest weight (or singular) vectors associated with character chi_150 of Monster module.at n=38A034538
- Shifts left under transform T where Ta is phi DCONV a.at n=45A038045
- Triangle read by rows: number of asymmetric monoids of order n with k idempotents.at n=25A058140
- Numbers with no zeros in their cubes such that the products of the digits of their cubes are also cubes.at n=42A067071
- a(n) = sum of the first n lower twin primes.at n=26A086167
- Convolution of sigma(n) with phi(n).at n=32A086733
- A bisection of A000960.at n=43A099061
- Wilson numbers: k such that the generalized Wilson quotient A157249(k) is divisible by k.at n=4A157250
- Composite numbers such that exactly ten distinct permutations of digits are prime.at n=11A163562
- a(n) = n*(4*n^2 - 3*n + 5)/6.at n=20A174723
- Partial sums of ceiling(n^2/4).at n=41A175287