16112
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 33480
- Proper Divisor Sum (Aliquot Sum)
- 17368
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7488
- Möbius Function
- 0
- Radical
- 2014
- 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
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 97
- 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) is the concatenation of n and 7n.at n=15A009441
- McKay-Thompson series of class 12G for Monster.at n=39A058485
- Least k such that 10^n + k - 1 is the first of a pair of twin primes.at n=39A103129
- a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=3,a(2)=10.at n=25A154496
- Least number m such that there exist exactly n pairs of numbers (a,b), 0 < a < b < m, such that a+b, a+m, and b+m are all squares.at n=24A246766
- Central terms of triangle A103284.at n=9A257641
- Numbers which are representable as a sum of nineteen but no fewer consecutive nonnegative integers.at n=16A270303
- Number of subsets of {1..n} containing the product of any set of distinct elements whose product is <= n.at n=15A326081
- a(n) is the least positive integer that can be expressed as the sum of a prime number and a square of a nonnegative integer in exactly n ways.at n=41A365288