2247
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3456
- Proper Divisor Sum (Aliquot Sum)
- 1209
- 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
- 1272
- Möbius Function
- -1
- Radical
- 2247
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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
- a(n) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7.at n=41A005710
- An upper bound on the biplanar crossing number of the complete graph on n nodes.at n=29A007333
- Coordination sequence T2 for Zeolite Code EMT.at n=39A008087
- Molien series for Conway group Con.0.at n=33A008925
- a(n) = floor(n*(n-1)*(n-2)/12).at n=31A011894
- Numbers k such that phi(k) | sigma_13(k).at n=43A015771
- Expansion of 1/(1 - x^8 - x^9 - ...).at n=49A017902
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite WEI = Weinebeneite Ca4[Be12P8O32(OH)8].16H2O starting from a T1 atom.at n=11A019262
- a(n) = n*(23*n - 1)/2.at n=14A022280
- Index of 6^n within the sequence of the numbers of the form 2^i*6^j.at n=41A025712
- 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 15.at n=19A031513
- Fractional part of square root of a(n) starts with 4: first term of runs.at n=46A034110
- Concatenations C1 and C2 are both prime (see the comment lines).at n=36A034815
- Numbers k such that 5*k + 1 is a square.at n=42A036666
- Positive numbers having the same set of digits in base 7 and base 9.at n=17A037439
- Number of partitions satisfying cn(0,5) + cn(2,5) <= 1 and cn(0,5) + cn(3,5) <= 1.at n=37A039851
- Numbers whose base-13 representation has exactly 4 runs.at n=34A043659
- Numbers n such that string 0,7 occurs in the base 8 representation of n but not of n-1.at n=38A044194
- Numbers k such that the string 6,6 occurs in the base 9 representation of k but not of k-1.at n=27A044311
- Numbers n such that string 4,7 occurs in the base 10 representation of n but not of n-1.at n=24A044379