7441
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
- 8512
- Proper Divisor Sum (Aliquot Sum)
- 1071
- 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
- 6372
- Möbius Function
- 1
- Radical
- 7441
- 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
- 132
- 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) = floor( n*(n-1)*(n-2)/20 ).at n=54A011902
- Numbers k such that Fib(k) == -13 (mod k).at n=29A023167
- Least m such that if r and s in {1/1, 1/3, 1/6,..., 1/C(n+1,2)} satisfy r < s, then r < k/m < s for some integer k.at n=33A024826
- Number of partitions satisfying (cn(0,5) = 0 and cn(2,5) = cn(3,5)).at n=48A036815
- Numerators of continued fraction convergents to sqrt(930).at n=3A042798
- Numbers whose base-3 representation has exactly 9 runs.at n=15A043589
- Numbers n such that number of runs in the base 3 representation of n is congruent to 1 mod 8.at n=31A043799
- Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 9.at n=15A043806
- Numbers k such that number of runs in the base 3 representation of k is congruent to 9 mod 10.at n=15A043824
- Upper members of a "good pair" of the form (k, 2*k +- 1).at n=40A046862
- Positive numbers whose product of digits is 7 times their sum.at n=23A062384
- Numbers k that, when expressed in base 4 and then interpreted in base 8, give a multiple of k.at n=41A062923
- Centered 15-gonal numbers: a(n) = (15*n^2 - 15*n + 2)/2.at n=31A069128
- Centered 16-gonal numbers.at n=30A069129
- Numbers m such that [A070080(m), A070081(m), A070082(m)] is an acute scalene integer triangle with prime side lengths.at n=17A070123
- Shallow diagonal of triangular spiral in A051682.at n=20A081275
- Numerator of Sum_{k=0..n} 1/binomial(n,k)^2.at n=6A100516
- Expansion of exp(x*(1+x)/(1-2*x)).at n=5A112243
- Fifth in an infinite set of generalized Pascal's triangles, with trigonometric properties.at n=40A125078
- The number of elements in S_4\det^{-1}(n)/GL(4,Z), where we take det : M_{4 X 4} (Z) => Z.at n=41A162159