5647
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
- 5648
- 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
- 5646
- Möbius Function
- -1
- Radical
- 5647
- 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
- 59
- 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
- 742
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Largest prime == 7 (mod 8) with class number 2n+1.at n=10A002147
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=17A020419
- Initial members of prime triples (p, p+4, p+6).at n=43A022005
- Initial members of prime 5-tuples (p, p+4, p+6, p+10, p+12).at n=4A022007
- 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 75.at n=3A031573
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=21A031808
- Denominators of continued fraction convergents to sqrt(388).at n=8A041737
- Numerators of continued fraction convergents to sqrt(671).at n=7A042290
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=15A046018
- Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime.at n=20A046122
- Primes p such that p+4 and p+12 are also prime.at n=40A046137
- Primes at which difference pattern X4242Y (X and Y >= 6) occurs in A001223.at n=2A052168
- Primes followed by a [4,2,4] prime difference pattern of A001223.at n=21A052378
- Primes p such that p^6 reversed is also prime.at n=23A059699
- Primes p such that p^12 reversed is also prime.at n=17A059705
- Lonely non-twin primes: non-twins sandwiched between two pairs of twins.at n=30A068016
- a(n) is the smallest positive integer such that no term in S={a(1),...,a(n)}, n>=3, divides the sum of any two other distinct terms of S, after first initializing the sequence with a(1)=3 and a(2)=4.at n=34A068573
- Primes whose digits can be arranged in increasing cyclic order - to form a substring of 123456789012345678901234567890...at n=19A068710
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=31A068896
- Primes of the form ceiling(n^e).at n=5A074224