6012
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
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 15288
- Proper Divisor Sum (Aliquot Sum)
- 9276
- 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
- 1992
- Möbius Function
- 0
- Radical
- 1002
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 142
- 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
- Number of lines through exactly 7 points of an n X n grid of points.at n=49A018814
- Theta series of 6-dimensional 8-modular lattice of minimal norm 4.at n=34A029713
- [ exp(3/17)*n! ].at n=6A030897
- Take list of squares, move left digit of each term to end of previous term.at n=52A032760
- Numbers whose base-3 representation contains exactly four 0's and four 2's.at n=28A045013
- Numbers n such that 93*2^n-1 is prime.at n=23A050572
- Numbers k such that k^2 + prime(k) and k^2 - prime(k) are both primes.at n=32A064483
- Nonprimes k such that k divides prime(k)^2 - 1.at n=49A064938
- Number of compositions (ordered partitions) of n that are concave-down sequences.at n=46A070211
- Number of polyhexes with n cells that tile the plane both by translation and by 180-degree rotation (Conway criterion).at n=12A075209
- Sum of the quadratic residues of prime(n).at n=38A076409
- a(n) is the smallest number greater than a(n-1) such that in a(0) through a(n) no digit occurs more than once more than any other digit.at n=26A095204
- a(n) is the least k such that k*Mersenne_prime(n)^2 - 1 and k*Mersenne_prime(n)^2 + 1 are twin primes.at n=10A098817
- a(1) = 412; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=42A105211
- Numbers n such that (n + prime(n)), (n+1 + prime(n+1)) and (n+2 + prime(n+2)) are divisible by 5.at n=38A107581
- Multiples of 12 containing a 12 in their decimal representation.at n=34A121032
- Numbers k such that 2*F(k) + 1 is a prime, where F = A000045.at n=41A124067
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 1, 1), (1, 0, 0), (1, 1, -1)}.at n=7A150243
- Numbers k such that Mordell's equation y^2 = x^3 - k has exactly 8 integral solutions.at n=27A179168
- Total number of even parts in the last section of the set of partitions of n.at n=31A206434