5449
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
- 5450
- 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
- 5448
- Möbius Function
- -1
- Radical
- 5449
- 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
- 160
- 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
- 721
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=36A001136
- Expansion of (1+x^2)(1+x^4)/((1-x)^2*(1-x^2)*(1-x^3)).at n=36A007979
- Numerator of the coefficient [x^(2n)] in the Taylor series sec(cosec(x) - cosech(x)).at n=3A013535
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=39A014755
- Numbers k such that the continued fraction for sqrt(k) has period 99.at n=2A020438
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=40A023255
- a(n) = Sum_{i=0..n} Sum_{j=0..n} A026637(i,j).at n=11A026646
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=33A031802
- Lucky numbers with size of gaps equal to 16 (upper terms).at n=18A031899
- Smallest prime congruent to 1 (mod prime(n)).at n=48A035095
- Conjecturally, a power of 2 written in base 3 cannot have this many 2's.at n=41A036463
- Number of distinct n-digit suffixes of base-10 squares not containing the digit 0.at n=4A036688
- Denominators of continued fraction convergents to sqrt(391).at n=9A041743
- Last member of a sexy prime quadruple: value of p+18 such that p, p+6, p+12 and p+18 are all prime.at n=19A046124
- Sizes of successive clusters in Z^4 lattice.at n=33A046895
- T(n,n+2), array T as in A047110.at n=7A047117
- Numbers k such that 297*2^k-1 is prime.at n=32A050907
- Prime powers such that 1 + lcm(1,2,...,p^w) is prime.at n=20A051453
- Smallest n-digit prime whose square is a concatenation of two n-digit primes (no leading zeros allowed), 0 if no such prime.at n=3A059017
- Primes p such that q-p = 22, where q is the next prime after p.at n=9A061779