5077
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5078
- 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
- 5076
- Möbius Function
- -1
- Radical
- 5077
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 678
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T1 for Milarite.at n=44A008256
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=55A011913
- Numbers k such that the continued fraction for sqrt(k) has period 25.at n=21A020364
- Expansion of tanh(tan(x))*sin(x)/2.at n=5A024231
- Upper prime of a difference of 18 between consecutive primes.at n=18A031937
- Number of partitions of n into parts not of the form 7k, 7k+3 or 7k-3. Also number of partitions such that the differences between parts at distance 2 are greater than 1.at n=45A035939
- Primes p such that (p+1)/2 and (p+2)/3 are also primes.at n=14A036570
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=24A045131
- Primes with first digit 5.at n=25A045711
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 2.at n=1A050664
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 19.at n=12A050968
- a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.at n=14A052049
- Primes such that the sum of the factorials of the digits is a perfect square.at n=16A052279
- Primes p such that f(p) > f(q) for all primes q < p, where f(n) is the sum of factorials of the digits of n if that sum is the square of a prime, otherwise f(n)=0.at n=1A052286
- Smallest conductor of elliptic curve with rank n.at n=3A052432
- a(n) = 4*n^2 - 3*n + 1.at n=36A054552
- Six prime numbers in arithmetic progression with a common difference of 9876543210.at n=0A058908
- Primes p such that x^47 = 2 has no solution mod p.at n=15A059257
- Primes p such that p^5 reversed is also prime.at n=31A059698
- Numbers k such that 1/(1/phi(k) + 1/phi(k+1) + 1/phi(k+2)) is an integer.at n=33A073543