5501
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5502
- 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
- 5500
- Möbius Function
- -1
- Radical
- 5501
- 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
- 41
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 726
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T10 for Zeolite Code EUO.at n=46A008096
- Numbers k such that the continued fraction for sqrt(k) has period 53.at n=9A020392
- Discriminants of quintic fields with 4 complex conjugates.at n=29A023685
- Expansion of 1/((1-3x)(1-4x)(1-8x)(1-10x)).at n=3A028044
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 29.at n=0A031617
- Upper prime of a difference of 18 between consecutive primes.at n=20A031937
- Initial terms of '4-block' primes as described in A032591.at n=13A032592
- Number of partitions satisfying (cn(2,5) = cn(3,5) = 0).at n=51A036820
- Primes p such that p+2 and 2p+1 are also prime.at n=40A045536
- First differences are A005563.at n=24A047732
- Primes or negative values of primes in the sequence b(n) = 47*n^2 - 1701*n + 10181, n >= 0.at n=3A050267
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=10A050966
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=16A052163
- Automorphic primes: p such that p^p ends with the digits of p.at n=39A052228
- Primes p such that p^11 reversed is also prime.at n=23A059704
- Between p and the next prime either there are no numbers or there is a single squarefree number.at n=42A061351
- Numbers k such that 93^k - 92^k is prime.at n=1A062659
- Primes of form 100*k + 1.at n=17A062800
- Primes p such that p^6 + p^3 + 1 is prime.at n=29A066100
- Primes which can be expressed as concatenation of powers of 5 and 0's.at n=12A066596