6132
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16576
- Proper Divisor Sum (Aliquot Sum)
- 10444
- 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
- 3066
- 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
- 49
- 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
- Coordination sequence for quartz.at n=44A008261
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite ERI = Erionite (Na2,Ca..)3.5K2[Al9Si27O72].27H2O starting with a T2 atom.at n=5A019014
- a(n) = (1/2) * A027052(n, 2n-1).at n=10A027057
- 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 52.at n=20A031550
- a(n)=(s(n)+4)/10, where s(n)=n-th base 10 palindrome that starts with 6.at n=35A043085
- a(n) = Sum_{i=0..floor(n/2)} T(2i+1,n-2i-1) where T is A049627.at n=48A049631
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 2.at n=34A050028
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 2.at n=34A050044
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 2.at n=34A050060
- T(2n+1,n), where T is the array in A055830.at n=6A055835
- Numbers which are the sum of their proper divisors containing the digit 0.at n=30A059461
- Sum of n-th antidiagonal of A082191.at n=20A082195
- Number of numbers that are ternary squarefree words of length n.at n=25A088953
- Least multiple k of prime(n) such that (k-1,k+1) forms a twin prime pair, or 0 if no such number exists.at n=20A090530
- Average of twin-prime pairs for pairs that are expressible as the sum of two triangular numbers.at n=15A117313
- Reversible Lynch-Bell numbers.at n=19A117954
- Numbers k such that the number of prime divisors of the k-th Catalan number (counted with multiplicity) divides k.at n=28A121612
- a(n) = 2^n + 2^(n-1) - n.at n=11A123720
- Multiples of 7, k, such that k +/- 1 are twin primes.at n=25A127545
- Row sums of triangle A133094.at n=11A133095