1668
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
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3920
- Proper Divisor Sum (Aliquot Sum)
- 2252
- 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
- 552
- Möbius Function
- 0
- Radical
- 834
- 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
- 135
- 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^4)/(1-x^10)/(1-x^20).at n=33A001307
- From rook polynomials.at n=7A001925
- Generalized sum of divisors function.at n=33A002130
- Cluster series for bond percolation problem on square lattice.at n=7A003198
- Cluster series for diamond.at n=7A003212
- Coordination sequence T2 for Zeolite Code JBW.at n=27A008122
- Coordination sequence T1 for Zeolite Code MEL.at n=26A008150
- Coordination sequence T8 for Zeolite Code MFI.at n=26A008171
- Coordination sequence T4 for Zeolite Code TON.at n=25A008244
- Number of partitions of n into parts >= 4.at n=46A008484
- Number of (unordered) triples of integers from [1,n] with no common factors between pairs.at n=31A015617
- Composite n such that phi(n) * sigma(n) is one less than a square.at n=22A015709
- Composite and even n such that phi(n) * sigma(n) is one less than a square.at n=14A015721
- Poincaré series [or Poincare series] for depths of roots in a certain root system.at n=9A019525
- Numbers with exactly 3 3's in their base-5 expansion.at n=36A023736
- a(n) = floor( (2nd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ), where S(n) = {first n+1 positive integers congruent to 1 mod 3}.at n=46A024219
- Number of partitions of n in which the least part is 4.at n=49A026797
- Number of partitions of n in which the least part is odd.at n=24A026804
- Sum{T(n,k)*T(n,2n-k)}, 0<=k<=n, T given by A027926.at n=7A027990
- Golc sequence in base 6. Left to right concatenation of n,int(log_6(n)),int(log_6(int(log_6(n)))),... in base6.at n=45A028436