6127
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6696
- Proper Divisor Sum (Aliquot Sum)
- 569
- 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
- 5560
- Möbius Function
- 1
- Radical
- 6127
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 62
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(0) = 1, a(n) = 5*n^2 + 2 for n>0.at n=35A010001
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5) <= cn(1,5).at n=58A036854
- Sums of 11 distinct powers of 2.at n=18A038462
- Numbers whose base-4 representation contains exactly two 1's and four 3's.at n=25A045123
- Numbers n such that n^2 contains exactly 8 different digits.at n=38A054036
- Semiprimes p1*p2 such that p2>p1 and p2 mod p1 = 7.at n=32A064905
- Multiples of 11 in which the even positioned digits from left are odd and the odd positioned ones are even.at n=41A080467
- Smallest number that can be written in binary representation as concatenation of other primes in exactly n ways.at n=40A090424
- Numbers k (with no zero digits) with property that k raised to the product of its digits plus the sum of its digits is prime.at n=9A098797
- Start with 1 and repeatedly reverse the digits and add 15 to get the next term.at n=46A118532
- Numbers n such that all of n^3+{2,4,6,10}^2 are primes.at n=2A125036
- Number of partitions of n with exactly one prime number.at n=38A132381
- a(n) = a(n-1) + Sum_{k=0..floor(log_2(n-1))} a(2^k), a(1) = 1.at n=24A133147
- Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 2,1 3,2 3,3 polyhexes in any orientation on a planar nXnXn triangular grid.at n=6A155275
- Row sums of triangle A167749.at n=12A167750
- Number of symmetry classes of 3 X 3 magilatin squares with positive values and magic sum n.at n=40A173730
- G.f. satisfies: A(x) = 1 + Sum_{n>=1} x^n * A(x)^A026250(n).at n=6A193620
- Numbers k such that the sum of digits^3 of k equals Sum_{d|k, 1<d<k} d.at n=3A202279
- Number of nonnegative integer arrays of length n+4 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value n+1.at n=11A211837
- Numbers n such that sum of cubes of digits of n equals the sum of prime divisors of n.at n=3A217531