5521
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5522
- 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
- 5520
- Möbius Function
- -1
- Radical
- 5521
- 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
- 129
- 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
- 730
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Sextan primes: p = (x^6 + y^6)/(x^2 + y^2).at n=15A002647
- Reverse digits of number of partitions of n.at n=23A004089
- Duodecimal primes: p = (x^12 + y^12 )/(x^4 + y^4 ).at n=1A006687
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=40A014755
- Palindromic primes in base 8.at n=21A029976
- Multiplicity of highest weight (or singular) vectors associated with character chi_147 of Monster module.at n=39A034535
- Number of partitions of n into parts not of the form 23k, 23k+2 or 23k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 10 are greater than 1.at n=35A035990
- Primes p such that x^23 = 2 has no solution mod p.at n=33A040984
- Denominators of continued fraction convergents to sqrt(70).at n=10A041123
- Denominators of continued fraction convergents to sqrt(280).at n=10A041527
- Base-8 palindromes that start with 1.at n=40A043021
- Upper members of a "good pair" of the form (k, 2*k +- 1).at n=37A046862
- Number of ordered pairs of integers (x,y) with x^2+y^2 < n^2.at n=42A051132
- Primes from products of split even-digit primes.at n=32A053008
- Smallest prime in n-th shell of prime spiral.at n=14A053998
- Primes p such that p^11 reversed is also prime.at n=25A059704
- Number of open positions in the game Fair Share and Varied Pairs starting with n tokens.at n=30A060463
- Primes with 11 as smallest positive primitive root.at n=27A061324
- Centered 20-gonal (or icosagonal) numbers.at n=23A069133
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (2,6).at n=30A073650