4456
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8370
- Proper Divisor Sum (Aliquot Sum)
- 3914
- 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
- 2224
- Möbius Function
- 0
- Radical
- 1114
- Omega Function (Ω)
- 4
- 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
- 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
- 46
- 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
- The generalized Conway-Guy sequence w^{1}.at n=14A006755
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=53A013583
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=12A020405
- Numbers k such that Fib(k) == -21 (mod k).at n=36A023168
- Least m such that if r and s in {1/3, 1/6, 1/9, ..., 1/3n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=29A024838
- 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 33.at n=16A031531
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=36A031796
- Write 1,2,... in a clockwise spiral; sequence gives numbers on positive x axis.at n=33A033951
- Numbers n such that 117*2^n-1 is prime.at n=34A050584
- a(n) = |{m : multiplicative order of 2 mod m = n}|.at n=59A059499
- a(n) = |{m : multiplicative order of 4 mod m=n}|.at n=29A059886
- a(n) = round(log_2(n)*2^n/n).at n=13A065617
- a(n) = ceiling(log_2(n)*2^n/n).at n=13A065618
- Numbers n such that zero is never reached by iterating the mapping k -> abs(reverse(lpd(k))-reverse(gpf(k))). lpd(k) is the largest proper divisor and gpf(k) is the largest prime factor of k.at n=8A076425
- Expansion of 1/(1-2*x+2*x^2+x^3).at n=16A077944
- Expansion of 1/(1+2*x+2*x^2-x^3).at n=16A077992
- Numbers k such that phi(k-1) < phi(k) < phi(k+1), where phi is the Euler totient function (A000010).at n=37A078776
- Diagonal in array of n-gonal numbers A081422.at n=15A081438
- a(n) = 6*n^2 + 3*n + 1.at n=27A085473
- Least integer m such that between m and 2m there are n triangular numbers.at n=39A085762