4447
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
- 2
- Divisor Sum
- 4448
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4446
- Möbius Function
- -1
- Radical
- 4447
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 183
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 604
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Largest prime == 7 (mod 8) with class number 2n+1.at n=8A002147
- Cuban primes: primes which are the difference of two consecutive cubes.at n=20A002407
- Hex (or centered hexagonal) numbers: 3*n*(n+1)+1 (crystal ball sequence for hexagonal lattice).at n=38A003215
- Number of n-step self-avoiding walks on a Manhattan lattice.at n=14A006744
- Primes of the form 2*k^2 + 29.at n=41A007641
- Numbers that are the sum of 3 positive cubes in more than one way.at n=38A008917
- A B_2 sequence: a(n) = least value such that sequence increases and pairwise sums of distinct elements are all distinct.at n=49A011185
- Primes that contain digits 4 and 7 only.at n=2A020465
- a(n) = s(n+3)/6, where s is A024731.at n=11A024732
- a(n) = least m such that if r and s in {1/3, 1/6, 1/9,..., 1/3n} satisfy r < s, then r < k/m < s for some integer k.at n=43A024824
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=25A024974
- [ Sum{(sqrt(j+1)-sqrt(i+1))^3} ], 1 <= i < j <= n.at n=31A025223
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=38A025396
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=25A025400
- a(n) = sum of the numbers between the two n's in A026370.at n=34A026373
- Odd numbers congruent to 7 mod 8 such that (2^(h(-n)+2)-n) is a square, where h(-n) is the class number.at n=46A029724
- Number of labeled spanning trees in the complete hypergraph on n vertices (all hyperedges having cardinality 2 or greater).at n=6A030019
- 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 65.at n=18A031563
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=3A031822
- Primes that are concatenations of n with n + 3.at n=4A032626