7299
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10556
- Proper Divisor Sum (Aliquot Sum)
- 3257
- 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
- 4860
- Möbius Function
- 0
- Radical
- 2433
- 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
- 44
- 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
- no
- Odd
- yes
Appears in sequences
- Difference between A000294 and the number of solid partitions of n (A000293).at n=17A007326
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite CON = CIT-1 H2[B2Si54O112] starting with a T1 atom.at n=12A019098
- 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 85.at n=5A031583
- Sums of distinct powers of 9.at n=26A033046
- Offsets for the Atkin Partition Congruence theorem.at n=40A036492
- Positive numbers having the same set of digits in base 2 and base 9.at n=22A037414
- Sums of 3 distinct powers of 9.at n=8A038488
- Number of mobiles (circular rooted trees) with n nodes and 4 leaves.at n=11A055342
- Number of distinct differences between consecutive divisors of n! (ordered by size).at n=18A060737
- a(n) = a(n-1) + the number of primes <= a(n-1).at n=38A061535
- First of 3 consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2} are in A067259.at n=36A071319
- Numbers n such that n and n+2 are of the form p^2*q where p and q are distinct primes.at n=26A074173
- a(n) = n^4 + n^3 + n.at n=9A100606
- Number of parts in all the compositions of n into primes (i.e., in all ordered sequences of primes having sum n).at n=19A121304
- a(n) + a(n+1) + a(n+2) = n^3.at n=29A152728
- Number of binary strings of length n with no substrings equal to 0000, 0001, or 1010.at n=16A164414
- Numbers k such that k^3 divides 17^(k^2) + 1.at n=14A177817
- a(n) = 9*a(n-1) + 3*a(n-2); a(0) = 0, a(1) = 1.at n=5A181353
- Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,3,1,1,1 for x=0,1,2,3,4.at n=9A197618
- Sum of the first n binary palindromes; a(n) = Sum_{k=1..n} A006995(k).at n=43A206920