7744
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
- 4
Divisibility
- Divisor Count
- 21
- Divisor Sum
- 16891
- Proper Divisor Sum (Aliquot Sum)
- 9147
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3520
- Möbius Function
- 0
- Radical
- 22
- Omega Function (Ω)
- 8
- 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
- yes
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 101
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers of the form 2^i * 11^j.at n=32A003596
- a(n) = (prime(n) - 1)^2.at n=23A005722
- 2^n*(2^(n+1) - n - 1).at n=6A008353
- Squares of palindromes.at n=17A014186
- Theta series of lattice Kappa_7.at n=19A015236
- Even squares: a(n) = (2*n)^2.at n=44A016742
- a(n) = (3*n+1)^2.at n=29A016778
- a(n) = (4*n)^2.at n=22A016802
- a(n) = (5*n + 3)^2.at n=17A016886
- a(n) = (6*n + 4)^2.at n=14A016958
- a(n) = (7*n + 4)^2.at n=12A017030
- a(n) = (8*n)^2.at n=11A017066
- a(n) = (9*n + 7)^2.at n=9A017246
- a(n) = (10*n + 8)^2.at n=8A017366
- a(n) = (11*n)^2.at n=8A017390
- a(n) = (12*n + 4)^2.at n=7A017570
- Squares using at most two distinct digits, not ending in 0.at n=16A018884
- Squares using no more than two distinct digits.at n=20A018885
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=28A020896
- Fibonacci sequence beginning 2, 32.at n=13A022378