5314
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
- 4
- Divisor Sum
- 7974
- Proper Divisor Sum (Aliquot Sum)
- 2660
- 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
- 2656
- Möbius Function
- 1
- Radical
- 5314
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 54
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of relations on an infinite set.at n=6A000663
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=20A004112
- Coordination sequence T4 for Zeolite Code DOH.at n=45A008081
- n written in fractional base 7/5.at n=25A024642
- Least k such that tan(k) > tan(a(n-1)), for n >= 1, where a(0) = 0.at n=31A024814
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=37A025524
- 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 72.at n=8A031570
- Sin(n) decreases monotonically to -1.at n=12A046964
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A048149.at n=41A049713
- Numbers n such that n*(n-1) is an oblong (promic, A002378) palindrome.at n=9A056794
- Numbers k such that x^k + x^7 + 1 is irreducible over GF(2).at n=37A057477
- Numbers k>7 such that x^k + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2).at n=25A057485
- McKay-Thompson series of class 28A for Monster.at n=27A058606
- Numbers k such that floor(tan(k)) > floor(tan(m)) for all m < k.at n=28A063537
- Centered 23-gonal numbers.at n=21A069174
- Centered 21-gonal numbers.at n=22A069178
- a(0)=1; a(n) is the smallest integer > a(n-1) such that sin(a(n)) is closer to an integer (here 0 or -1) than sin(a(n-1)).at n=11A079037
- Sum of first n 4-almost primes.at n=35A086046
- First differences of A057809.at n=28A087238
- Numbers k such that k*primorial(2473)-1 is prime.at n=41A087832