5413
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
- 5414
- 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
- 5412
- Möbius Function
- -1
- Radical
- 5413
- 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
- 714
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Sums of ménage numbers.at n=8A000271
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=47A001133
- Coordination sequence T1 for Zeolite Code ATV.at n=47A008043
- Initial members of prime triples (p, p+4, p+6).at n=41A022005
- Triangle read by rows of numbers of permutations eliminating just card k out of n in game of Mousetrap.at n=43A028306
- [ exp(1/14)*n! ].at n=6A030921
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=5A031818
- Primes of form x^2+89*y^2.at n=27A033257
- Number of partitions of n such that cn(0,5) = cn(1,5) = cn(3,5) <= cn(2,5) = cn(4,5).at n=70A036866
- Number of partitions of n such that cn(0,5) = cn(1,5) = cn(3,5) < cn(2,5) = cn(4,5).at n=70A036869
- Primes which are not the sum of consecutive composite numbers.at n=30A037174
- Numbers whose base-2 representation has exactly 11 runs.at n=31A043578
- a(n) = (1/2)*(n-th number whose base-2 representation has exactly 12 runs).at n=34A043686
- Triangle of numbers a(n,k) = number of terms in n X n determinant with 2 adjacent diagonals of k and k-1 0's (0<=k<=n).at n=44A047922
- Primes of the form k^2 + k + 11.at n=37A048059
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049723.at n=21A049726
- Number of primes between successive Lucas numbers.at n=23A052012
- Sum of digits of prime p is substring of p.at n=39A052019
- Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=14A052164
- Primes with distinct digits in alphabetical order (in English).at n=28A053435