1068
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2520
- Proper Divisor Sum (Aliquot Sum)
- 1452
- 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
- 352
- Möbius Function
- 0
- Radical
- 534
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 23
- 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
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60).at n=33A001365
- Expansion of 1/((1+x)*(1-x)^12).at n=4A001808
- Cluster series for site percolation problem on square matching lattice (square lattice with 1st and 2nd neighbors connected).at n=5A003201
- Numbers that are the sum of 7 positive 5th powers.at n=31A003352
- Number of permutations of (1,...,n) having n-5 inversions (n>=5).at n=5A005283
- a(n) = C(n,5) + C(n,4) - C(n,3) + 1, n >= 7.at n=6A005288
- Total number of parts in all partitions of n. Also, sum of largest parts of all partitions of n.at n=15A006128
- Numbers n such that n^32 + 1 is prime.at n=23A006315
- Solution to Pellian: x such that x^2 - n y^2 = +- 1, +- 4.at n=72A006704
- Oscillates under partition transform.at n=34A007213
- Coordination sequence T5 for Zeolite Code BOG.at n=23A008053
- Coordination sequence T2 for Zeolite Code MEL.at n=21A008151
- Coordination sequence T1 for Cordierite.at n=20A008251
- Coordination sequence T3 for Zeolite Code CON.at n=23A009870
- phi(n) + 8 | sigma(n).at n=41A015799
- Numbers n such that n | 11^n + 11.at n=14A015903
- Coordination sequence T1 for Zeolite Code TER.at n=22A016433
- Powers of cube root of 5 rounded down.at n=13A017988
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFR = SAPO-40 [Si7Al29P28O128].4TPA.OH starting with a T1 atom.at n=4A018960
- (n-2)nd Catalan number is congruent to n/3 mod n.at n=43A019467