2667
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4096
- Proper Divisor Sum (Aliquot Sum)
- 1429
- 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
- 1512
- Möbius Function
- -1
- Radical
- 2667
- Omega Function (Ω)
- 3
- 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
- 45
- 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
- no
- Odd
- yes
Appears in sequences
- Number of sublattices of index n in generic 3-dimensional lattice.at n=37A001001
- Number of sublattices of index n in generic 3-dimensional lattice.at n=31A001001
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^7 in powers of x.at n=36A001485
- Number of series-parallel networks with n edges.at n=10A001677
- G.f.: (1 + x^4 + x^7 + 2*x^8 + x^9 + x^12 + x^16)/Product_{i=1..8} (1 - x^i).at n=25A003405
- Divisors of 2^42 - 1.at n=22A003547
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=42A005449
- Gaussian binomial coefficient [n, 2] for q = 2.at n=7A006095
- Gaussian binomial coefficient [n, 5] for q = 2.at n=2A006110
- Unique period lengths of primes mentioned in A007615.at n=46A007498
- Coordination sequence T2 for Zeolite Code AEL.at n=34A008005
- Weight distribution of d=3 Hamming code of length 127.at n=3A010088
- Numbers k such that k divides 4^k - 1.at n=24A014945
- Odd numbers k that divide 25^k - 1.at n=30A014962
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among pairs.at n=22A015663
- Numbers k such that k | 5^k + 1.at n=24A015951
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=31A017834
- Numbers whose sum of divisors is a fourth power.at n=13A019422
- Numbers whose sum of divisors is a sixth power.at n=1A019424
- Number of 6-ary search trees on n keys.at n=13A019500