4446
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 10920
- Proper Divisor Sum (Aliquot Sum)
- 6474
- 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
- 1296
- Möbius Function
- 0
- Radical
- 1482
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 183
- 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
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=28A000511
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=36A001106
- Coordination sequence T1 for Zeolite Code CAS.at n=40A008063
- Coordination sequence T1 for Zeolite Code RUT.at n=44A009897
- A B_2 sequence: a(n) = least value such that the sequence increases and pairwise sums of distinct terms are all distinct.at n=49A010672
- 6 times triangular numbers: a(n) = 3*n*(n+1).at n=38A028896
- Even 9-gonal (or enneagonal) numbers.at n=18A028992
- Number of dyslexic rooted compound windmills with n nodes and leaves of 2 colors.at n=8A032290
- Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).at n=32A034072
- Trajectory of 3 under map n->35n+1 if n odd, n->n/2 if n even.at n=14A037115
- Number of partitions satisfying cn(2,5) <= cn(0,5) + cn(1,5) + cn(4,5) and cn(3,5) <= cn(0,5) + cn(1,5) + cn(4,5).at n=29A039871
- Numbers having three 4's in base 10.at n=17A043507
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A048149.at n=37A049713
- a(n) = n(n+7)(n+1)(n^2+2n+12)/120.at n=11A051746
- Numbers k such that x^k + x^5 + 2 is irreducible over GF(3).at n=18A058238
- Triangle of coefficients in expansion of enumerators for series-reduced rooted trees by lines at the root.at n=54A058735
- Main diagonal of A058735.at n=9A058737
- Multiples of 9 having only even digits.at n=32A061831
- a(n) = n*(n+1)*(n^2 - 3*n + 6)/4.at n=12A062026
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 69 ).at n=34A063342