4741
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5184
- Proper Divisor Sum (Aliquot Sum)
- 443
- 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
- 4300
- Möbius Function
- 1
- Radical
- 4741
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 152
- 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
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=39A004210
- Coordination sequence T4 for Zeolite Code DDR.at n=43A008074
- Coordination sequence T1 for Banalsite.at n=41A008249
- Positive integers n such that 2^n == 2^11 (mod n).at n=56A015935
- Pseudoprimes to base 26.at n=32A020154
- Pseudoprimes to base 95.at n=22A020223
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=17A025410
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=18A025413
- In base 11, a(n) = sum of digits of Lucas(a(n)).at n=39A025491
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=2A031828
- Lucky numbers with size of gaps equal to 16 (upper terms).at n=17A031899
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=9A031902
- Positions of the incrementally largest terms in the continued fraction expansion of zeta(3), offset 1 variant.at n=12A033167
- Number of partitions satisfying (cn(2,5) = cn(3,5) = 0 and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=54A036823
- Coordination sequence T3 for Zeolite Code AEN.at n=43A047952
- a(n)=T(n,n+1), array T as in A049735.at n=27A049741
- Number of independent sets of nodes in P_4 X C_n (n > 2).at n=5A050401
- Expansion of (1+2*x+3*x^2)/((1-x)^3*(1-x^2)).at n=20A055232
- a(1) = 4; a(n) = smallest composite number of the form k*a(n-1) + 1.at n=35A061766
- Positive numbers whose product of digits is 7 times their sum.at n=20A062384