2802
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
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5616
- Proper Divisor Sum (Aliquot Sum)
- 2814
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 932
- Möbius Function
- -1
- Radical
- 2802
- 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
- 97
- 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
- yes
- Odd
- no
Appears in sequences
- Number of points on surface of tricapped prism: a(n) = 7*n^2 + 2 for n > 0, a(0)=1.at n=20A005919
- Coordination sequence T2 for Zeolite Code MTW.at n=35A008197
- Coordination sequence T2 for Zeolite Code NON.at n=32A008213
- Coordination sequence T5 for Zeolite Code RSN.at n=34A009889
- a(0) = 1, a(n) = 28*n^2 + 2 for n>0.at n=10A010018
- Numbers k such that Fibonacci(k) == -8 (mod k).at n=31A023166
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence).at n=18A024686
- Index of 7^n within the sequence of the numbers of the form 2^i*7^j.at n=44A025720
- 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 52.at n=6A031550
- Numbers k such that 187*2^k+1 is prime.at n=8A032470
- Numbers whose set of base-7 digits is {1,2}.at n=31A032928
- Multiplicity of highest weight (or singular) vectors associated with character chi_192 of Monster module.at n=37A034580
- Maximal base 7 run length is 4.at n=8A037991
- Numbers whose base-7 representation contains exactly four 1's.at n=5A043400
- Numbers k such that the string 5,3 occurs in the base 9 representation of k but not of k-1.at n=38A044299
- Numbers n such that string 0,2 occurs in the base 10 representation of n but not of n-1.at n=29A044334
- Numbers n such that string 5,3 occurs in the base 9 representation of n but not of n+1.at n=38A044680
- Numbers n such that string 0,2 occurs in the base 10 representation of n but not of n+1.at n=29A044715
- Array A read by diagonals; n-th difference of (A(k,n), A(k,n-1),..., A(k,0)) is (k+2)^(n-1), for n=1,2,3,...; k=0,1,2,...at n=49A047848
- a(n) = A047848(4, n).at n=5A047852