4451
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4452
- 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
- 4450
- Möbius Function
- -1
- Radical
- 4451
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 139
- 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
- 605
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of positive integers <= 2^n of form x^2 + 12 y^2.at n=15A000021
- Number of Dyck paths of knight moves.at n=14A005223
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=57A013583
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=33A020385
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=21A023301
- a(n) = [ C(2n,n)/2^(n+2) ].at n=17A024505
- 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=19A031563
- Primes that are concatenations of n with n + 7.at n=6A032630
- Primes of form x^2+95*y^2.at n=32A033206
- Primes of the form x^2+74*y^2.at n=28A033248
- Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes.at n=31A047948
- a(n) is the first prime p from A031924 such that A052180(primepi(p)) = prime(n).at n=15A052229
- Primes such that the sum of the factorials of the digits is a perfect square.at n=15A052279
- Nearest integer to log(n)^sqrt(n).at n=40A062464
- Maximal prime numbers with increasing prime differences.at n=48A064336
- Primes that are the sum of 7 consecutive primes.at n=38A082246
- Primes p such that A001414(p-1) and A001414(p+1) are both prime, where A001414 = sum of primes dividing n (with repetition).at n=29A086715
- a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q.at n=26A089577
- Sum of primes <= p is even and sum is twice a prime.at n=23A089894
- Position of first occurrence of n in A090544.at n=50A090546