4549
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4550
- 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
- 4548
- Möbius Function
- -1
- Radical
- 4549
- 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
- 20
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 617
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=34A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=40A001133
- Numbers k such that if 1 <= j < k then the fractional part of the k-th partial sum of the harmonic series > the fractional part of the j-th partial sum of the harmonic series.at n=7A004980
- a(n) = Sum_{k=1..n} k*phi(k).at n=27A011755
- Powers of cube root of 3 rounded down.at n=23A017982
- Powers of cube root of 3 rounded to nearest integer.at n=23A017983
- Numbers k such that the continued fraction for sqrt(k) has period 93.at n=0A020432
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=43A023246
- Primes that remain prime through 3 iterations of function f(x) = 3x + 2.at n=7A023277
- Discriminants of quintic fields with 4 complex conjugates.at n=21A023685
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=15A031810
- Primes that are concatenations of k with k + 4.at n=6A032627
- Primes of form x^2+65*y^2.at n=33A033241
- Primes with indices that are primes with prime indices.at n=29A038580
- Denominators of continued fraction convergents to sqrt(34).at n=8A041057
- Let (p1,p2), (p3,p4) be pairs of twin primes with p1*p2=p3+p4-1; sequence gives values of p2.at n=12A047977
- Primes prime(k) for which A049076(k) = 3.at n=19A049079
- Prime powers such that 1 + lcm(1,2,...,p^w) is prime.at n=19A051453
- Sum of composite numbers between prime p and nextprime(p) is palindromic.at n=14A054266
- Sum of composite numbers between prime p and nextprime(p) is palindromic with restriction 'p + 1 <> sum'.at n=8A054267