5180
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 12768
- Proper Divisor Sum (Aliquot Sum)
- 7588
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1728
- Möbius Function
- 0
- Radical
- 2590
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Numbers k such that 2*7^k - 1 is prime.at n=12A002959
- Weighted count of partitions with distinct parts.at n=30A005895
- n+8*C(n,2)+30*C(n,3)+62*C(n,4)+75*C(n,5)+30*C(n,6).at n=7A006550
- a(n) = Sum_{k=1..n-1} lcm(k,n-k).at n=35A006580
- a(n) = floor(n*(n-1)*(n-2)/9).at n=37A011891
- Number of partitions of n into parts of 4 kinds.at n=9A023003
- Number of triangles a queen can make (starting anywhere) on an n X n board.at n=14A030117
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 5 skipped primes.at n=42A050772
- Number of ways of placing n nonattacking superqueens on an n X n board.at n=13A051223
- First (leftmost) digit - second digit + third digit - fourth digit .... = 12.at n=35A061881
- Convolution of A000010 with itself.at n=43A065093
- Numbers k such that phi(k) divides sigma(k+1) - sigma(k).at n=25A072611
- a(n) = 5*(n^2 - n + 2)/2.at n=46A082450
- Numbers k such that the difference d of the largest and smallest prime factors of k is a composite divisor of k.at n=42A083264
- Number of positive numbers m such that A073642(m) = n.at n=47A087135
- Even numbers n such that 37^2 (the square of the first irregular prime) divides the numerator of Bernoulli(n).at n=8A090789
- Least multiple of n == -1 (mod prime(n)).at n=36A090939
- Records in A091579.at n=8A091587
- Fifth column (m=4) of (1,6)-Pascal triangle A096956.at n=13A096958
- a(n) = C(2n-1,n-1) mod n^3.at n=27A099907