1447
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
- 2
- Divisor Sum
- 1448
- 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
- 1446
- Möbius Function
- -1
- Radical
- 1447
- 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
- 52
- 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
- 229
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that divide at least one term in every Fibonacci sequence.at n=47A000057
- a(n) = 1000*log_10(n) rounded down.at n=27A004225
- a(n) = 1000*log_10(n) rounded to the nearest integer.at n=27A004226
- a(n) = n^2 + prime(n).at n=35A004232
- Class 4+ primes (for definition see A005105).at n=22A005108
- Primes of the form k^2 + k + 41.at n=37A005846
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=26A006378
- Prime-indexed primes: primes with prime subscripts.at n=49A006450
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=12A007354
- Smallest prime > n^2.at n=37A007491
- Prime triples: p; p+2 or p+4; p+6 all prime.at n=37A007529
- Coordination sequence T3 for Zeolite Code LAU.at n=27A008126
- Least m such that if a/b < c/d are Farey fractions of order n then there exists k such that a/b < k/m < c/d, k/m reduced.at n=43A009571
- a(0) = 1, a(n) = 5*n^2 + 2 for n>0.at n=17A010001
- Strictly non-palindromic numbers: n is not palindromic in any base b with 2 <= b <= n-2.at n=52A016038
- Numbers k such that the continued fraction for sqrt(k) has period 32.at n=18A020371
- Initial members of prime triples (p, p+4, p+6).at n=18A022005
- Conjecturally, number of infinitely recurring prime patterns of width 2n-1.at n=19A023189
- Primes p such that p + 4 is also prime.at n=50A023200
- Primes p such that 5*p + 8 is also prime.at n=50A023220