5962
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
- 8
- Divisor Sum
- 9792
- Proper Divisor Sum (Aliquot Sum)
- 3830
- 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
- 2700
- Möbius Function
- -1
- Radical
- 5962
- Omega Function (Ω)
- 3
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 93
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are stereoisomers.at n=12A000623
- Coordination sequence T2 for Keatite.at n=43A009845
- Coordination sequence for MgCu2, Mg position.at n=19A009931
- Multiplicity of highest weight (or singular) vectors associated with character chi_4 of Monster module.at n=46A034392
- Numbers m such that m^2 ends in 444.at n=23A039685
- Base-6 palindromes that start with 4.at n=35A043013
- Numbers k such that k^2 contains only digits {3,4,5}.at n=3A053936
- Numbers which have more different digits than their squares.at n=34A061277
- G.f. = continued fraction: A(x)=1/(1-x-x/(1-x^2-x^2/(1-x^3-x^3/(1-x^4-x^4/(...))))).at n=10A088354
- Start with any initial string of n numbers s(1), ..., s(n), with s(1) = 2, other s(i)'s = 2 or 3 (so there are 2^(n-1) starting strings). The rule for extending the string is this as follows: To get s(n+1), write the string s(1)s(2)...s(n) as xy^k for words x and y (where y has positive length) and k is maximized, i.e., k = the maximal number of repeating blocks at the end of the sequence. Then a(n) = number of starting strings for which k > 1.at n=13A093370
- Expansion of 1 / (chi(-x) * chi(-x^7)) in powers of x where chi() is a Ramanujan theta function.at n=49A093950
- Numbers k such that 7*10^k + 3*R_k - 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=18A103055
- Triangle read by rows: T(n,k) (k>=0) is the number of RNA secondary structures of size n (i.e., with n nodes) having k arcs that are covered by other arcs.at n=46A110317
- a(n) = A128020(n)/n.at n=16A128021
- Expansion of 1/(1 - x^2 - x^7 - x^12 + x^14) (a Salem polynomial).at n=54A143619
- 1/16 the number of (n+1) X 9 0..3 arrays with all 2 X 2 subblocks having the same four values.at n=9A184038
- Couple of numbers a, b for which sigma*(a)=b and sigma(b)-b=a, where sigma*(n) is the sum of the anti-divisors of n.at n=9A192291
- a(n) = A121880(2*n)/2.at n=6A211973
- Main diagonal starting k=2 of array A(k,n) = numbers n such that n^k - prime(n) is a prime.at n=29A213477
- Multiples of 11 whose digit sum is a multiple of 11.at n=43A216995