4744
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8910
- Proper Divisor Sum (Aliquot Sum)
- 4166
- 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
- 2368
- Möbius Function
- 0
- Radical
- 1186
- Omega Function (Ω)
- 4
- 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
- 77
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Coordination sequence T1 for Zeolite Code ATV.at n=44A008043
- Coordination sequence T2 for Zeolite Code NES.at n=44A008206
- Coordination sequence T1 for Moganite.at n=44A008258
- sinh(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+182/6!*x^6+4744/8!*x^8...at n=4A009609
- arcsin(tan(x)*sin(x))=2/2!*x^2+4/4!*x^4+182/6!*x^6+4744/8!*x^8...at n=3A012367
- Duplicate of A009609.at n=3A012369
- Numbers k such that Fib(k) == -21 (mod k).at n=39A023168
- Expansion of g.f. (x^3 - 6*x^2 + 5*x - 1)/((2*x - 1)*(2*x^2 - 4*x + 1)).at n=9A024175
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^3.at n=48A028627
- 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 17.at n=31A031515
- T(n+3,3) with T as in A036355.at n=8A036682
- Coordination sequence T2 for Zeolite Code STF.at n=46A038441
- Numbers having three 4's in base 10.at n=28A043507
- Numbers whose base-4 representation contains exactly three 0's and three 2's.at n=18A045055
- Composite n such that phi(n+4) = phi(n)+4.at n=33A056773
- a(1) = 4; a(n) = smallest composite number of the form k*a(n-1) + 1.at n=38A061766
- Triangle read by rows of number of Catalan paths (nonnegative, starting and ending at 0, step +/-1) of 2n steps with all values less than or equal to k.at n=41A080935
- Number of n X n (-1,1)-matrices with all eigenvalues >= 0.at n=4A087488
- Coefficients in asymptotic expansion of (Pi*n/16^n)*binomial(2n,n)^2 in powers of 1/(8n).at n=7A092635
- Indices of primes in sequence defined by A(0) = 27, A(n) = 10*A(n-1) + 17 for n > 0.at n=8A101971