5112
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 14040
- Proper Divisor Sum (Aliquot Sum)
- 8928
- 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
- 1680
- Möbius Function
- 0
- Radical
- 426
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- yes
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 134
- 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
- a(n) = 2*n*(2*n-1).at n=36A002939
- Number of strongly self-dual planar maps with 2n edges.at n=4A006849
- Coordination sequence T7 for Zeolite Code MEL.at n=46A008156
- Coordination sequence T1 for Zeolite Code MON.at n=44A008181
- If a, b in sequence, so is ab+8.at n=26A009331
- Product of a prime and the following number.at n=19A036690
- a(n) = prime(n)*prime(n+1) - prime(n).at n=19A037166
- Positive numbers having the same set of digits in base 8 and base 9.at n=23A037441
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=33A043084
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2) = k; sequence gives values of k.at n=31A048191
- Starting from generation 6 add previous and next term yielding generation 7.at n=21A048453
- Pisot sequence L(5,6).at n=18A048583
- Pisot sequence L(6,8).at n=17A048586
- Numbers k such that 285*2^k-1 is prime.at n=34A050901
- Numbers k such that 267*2^k + 1 is prime.at n=27A053350
- Vertically symmetric numbers.at n=30A053701
- McKay-Thompson series of class 24I for Monster.at n=23A058579
- Numbers k such that 2^k - 5 is prime.at n=29A059608
- Number of solutions to x + y + z = 0 mod (2n+1) such that x,y,z are units modulo 2n+1, i.e., gcd(x, 2n+1) = gcd(y, 2n+1) = gcd(z, 2n+1) = 1.at n=35A061780
- Sum of all cubefree numbers with the same squarefree kernel as the n-th squarefree number.at n=44A073245