5483
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5484
- 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
- 5482
- Möbius Function
- -1
- Radical
- 5483
- 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
- 116
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 725
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of n-step spiral self-avoiding walks on hexagonal lattice, where at each step one may continue in same direction or make turn of 2*Pi/3 counterclockwise.at n=29A000511
- Number of unlabeled distributive lattices on n nodes.at n=18A006982
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=39A011892
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=32A015990
- Expansion of 1/((1-2x)(1-9x)(1-12x)).at n=3A016324
- Numbers k such that the continued fraction for sqrt(k) has period 50.at n=35A020389
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=47A023247
- 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 73.at n=15A031571
- Lower prime of a difference of 18 between consecutive primes.at n=20A031936
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=13A046014
- Primes p such that pp'-2 is prime, where p' denotes the next prime after p.at n=33A048797
- a(n) = floor(A*a(n-1) + B*a(n-2) + C)/p^r, where p^r is the highest power of p dividing floor(A*a(n-1) + B*a(n-2) + C), A=1.0001, B=1.0001, C=1, p=2.at n=41A053521
- Initial prime in first sequence of n primes congruent to 2 modulo 9.at n=1A057645
- Numbers which need nine 'Reverse and Add' steps to reach a palindrome.at n=31A065214
- Lonely non-twin primes: non-twins sandwiched between two pairs of twins.at n=28A068016
- a(0) = 2; a(n) for n > 0 is the smallest prime greater than a(n-1) that differs from a(n-1) by a square.at n=23A073609
- Primes for which the three closest primes are smaller.at n=39A074982
- Primes of the form k^2 + 7.at n=23A079138
- a(n) = floor(C(n+6,6)/C(n+2,2)).at n=33A084626
- Greatest members p of prime triples (p-6, p-4, p).at n=42A098412