6162
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 7278
- 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
- 1872
- Möbius Function
- 1
- Radical
- 6162
- Omega Function (Ω)
- 4
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 155
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = n*(n + 1)*(n^2 + n + 2)/4.at n=12A001621
- a(n) = 2*n*(2*n+1).at n=39A002943
- Coordination sequence for NiAs(2), As position.at n=37A009945
- Coordination sequence for NiAs(2), Ni position.at n=37A009946
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A001950 (upper Wythoff sequence).at n=20A024689
- a(n) = (-1 + prime(n+1)^2)/4.at n=35A024701
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=35A025513
- Sorted Galois numbers.at n=25A028689
- Pair up the numbers.at n=30A030655
- Coordination sequence for A_12 lattice.at n=2A035838
- Product of a prime and the previous number.at n=21A036689
- a(n)=(s(n)+4)/10, where s(n)=n-th base 10 palindrome that starts with 6.at n=38A043085
- Hexagonal matchstick numbers: a(n) = 3*n*(3*n+1).at n=26A045945
- Totients of consecutive pure powers of primes.at n=44A053198
- Numbers which are the sum of their proper divisors containing the digit 0.at n=33A059461
- At stage 1, start with a unit equilateral equiangular triangle. At each successive stage add 3*(n-1) new triangles around outside with edge-to-edge contacts. Sequence gives number of triangles (regardless of size) at n-th stage.at n=23A064412
- Engel expansion of sinh(1).at n=39A068377
- a(2n) = concatenation of 4n+1 and 4n+2, a(2n+1) = concatenation of the two most nearly equal numbers whose product is a(2n).at n=30A068517
- a(n) = n! (mod n^2), that is, n factorial modulo n^2.at n=78A072230
- Partition the concatenation 1234567... of natural numbers into successive strings which are multiples of 3 all different and > 3. (0 never taken as the most significant digit.)at n=38A077296