2941
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3132
- Proper Divisor Sum (Aliquot Sum)
- 191
- 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
- 2752
- Möbius Function
- 1
- Radical
- 2941
- 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
- 48
- 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
- Number of non-Abelian metacyclic groups of order 2^n.at n=47A007982
- Coordination sequence T1 for Zeolite Code AEI.at n=41A008001
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite HEU = Heulandite Ca4[Al8Si28O72].24H2O starting with a T1 atom.at n=11A019138
- Numbers k such that the continued fraction for sqrt(k) has period 11.at n=28A020350
- 10th-order Vatalan numbers (generalization of Catalan numbers).at n=3A025763
- a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2; |s(i) - s(i-1)| <= 1 for i >= 3, s(n) = 2. Also a(n) = T(n,n-2), where T is the array defined in A024996.at n=7A026069
- a(n) = Sum_{k=0..2n-2} T(n,k) * T(n,k+2), with T given by A025177.at n=3A027259
- Number of distinct products ijk with 0 <= i,j,k <= n.at n=36A027426
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 4.at n=23A031417
- Integer part of decimal 'base-2 looking' numbers divided by their actual base-2 values (denominator of a(n) is n, numerator is n written in binary but read in decimal).at n=33A032532
- Numbers whose set of base 14 digits is {0,1}.at n=13A033050
- a(n) = floor(10^5/n).at n=33A033427
- Coordination sequence T1 for Zeolite Code CFI.at n=36A033599
- Numbers k such that d(i) is a power of 2 for all k <= i <= k+6, where d(i) = number of divisors of i.at n=45A036540
- Number of partitions of n such that cn(1,5) < cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5).at n=70A036861
- Numbers having three 5's in base 8.at n=23A043443
- Numbers n such that string 4,1 occurs in the base 10 representation of n but not of n-1.at n=32A044373
- Numbers n such that string 4,1 occurs in the base 10 representation of n but not of n+1.at n=32A044754
- Numbers having, in base 14, (sum of even run lengths)=(sum of odd run lengths).at n=26A044885
- a(n) = Sum_{k=1..n} T(n,k), array T as in A049840.at n=40A049841