2284
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4004
- Proper Divisor Sum (Aliquot Sum)
- 1720
- 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
- 1140
- Möbius Function
- 0
- Radical
- 1142
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 32
- 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 3 X n binary matrices up to row and column permutations.at n=9A002727
- Conway-Guy sequence: a(n + 1) = 2a(n) - a(n - floor( 1/2 + sqrt(2n) )).at n=13A005318
- Coordination sequence T2 for Zeolite Code AWW.at n=34A008046
- Coordination sequence T1 for Zeolite Code MAZ.at n=33A008144
- a(n) = floor(n*(n-1)*(n-2)/24).at n=39A011842
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=41A011910
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).at n=17A011935
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=1A020427
- Pisot sequence T(4,10), a(n) = floor(a(n-1)^2/a(n-2)).at n=7A020748
- Numbers k such that Fibonacci(k) == 3 (mod k).at n=28A023175
- Index of 7^n within the sequence of the numbers of the form 3^i*7^j.at n=50A025721
- Numbers having period-6 5-digitized sequences.at n=17A031190
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=1A031808
- Coordination sequence T1 for Zeolite Code SBS.at n=38A033608
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 5).at n=45A035585
- Numerators of continued fraction convergents to sqrt(270).at n=4A041506
- Numbers n such that string 5,4 occurs in the base 8 representation of n but not of n-1.at n=39A044231
- Numbers n such that string 1,7 occurs in the base 9 representation of n but not of n-1.at n=31A044267
- Numbers k such that string '84' occurs in the base 10 representation of k but not of k-1.at n=24A044416
- Numbers n such that string 5,4 occurs in the base 8 representation of n but not of n+1.at n=39A044612