2712
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
- 16
- Divisor Sum
- 6840
- Proper Divisor Sum (Aliquot Sum)
- 4128
- 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
- 896
- Möbius Function
- 0
- Radical
- 678
- 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
- 53
- 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 collinear point-triples in an n X n grid.at n=8A000938
- Coordination sequence T2 for Zeolite Code AET.at n=36A008008
- Coordination sequence T1 for Zeolite Code BOG.at n=37A008049
- Coordination sequence T3 for Zeolite Code LTN.at n=36A008142
- Coordination sequence T1 for Keatite.at n=29A009844
- From the game of Mousetrap.at n=4A018933
- Convolution of A000201 with itself.at n=17A023663
- a(n) = ((n+2)!/2)(1/3 - 1/4 + ... + c/(n+2)), where c = (-1)^(n+1).at n=5A024188
- Sequence satisfies T^2(a)=a, where T is defined below.at n=46A027590
- 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 13.at n=23A031511
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 13.at n=3A031691
- Number of identity bracelets of n beads of 3 colors.at n=9A032240
- Conjecturally, a power of 2 written in base 3 cannot have this many 2's.at n=21A036463
- Smallest number k such that floor[(the number of digits in k!) / k] is greater than any j < k.at n=3A036841
- Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,3.at n=4A037620
- Partial sums of primes congruent to 1 mod 6.at n=23A038349
- Coordination sequence T2 for Zeolite Code AFN.at n=37A038402
- Numerators of continued fraction convergents to sqrt(721).at n=7A042388
- Numbers k such that the string 4,3 occurs in the base 9 representation of k but not of k-1.at n=37A044290
- Numbers n such that string 1,2 occurs in the base 10 representation of n but not of n-1.at n=30A044344