7839
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
- 12
- Divisor Sum
- 12376
- Proper Divisor Sum (Aliquot Sum)
- 4537
- 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
- 4752
- Möbius Function
- 0
- Radical
- 2613
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 83
- 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
- Number of labeled Eulerian oriented graphs with n nodes.at n=6A007081
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly nine 1's.at n=25A020445
- a(1) = 1; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=47A033680
- a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=42A033681
- Scan decimal expansion of zeta(3) until all n-digit strings have been seen; a(n) is number of digits that must be scanned.at n=2A036906
- Numbers ending with '9' that are the difference of two positive cubes.at n=27A038864
- a(n) = (n+3)^3 - n^3.at n=27A038865
- T(n,n-3), array T as in A054106.at n=35A054107
- Beginning of first run of at least n consecutive happy numbers.at n=3A055629
- First of triples of consecutive happy numbers, i.e., the first of three consecutive integers each of which is a happy number (A007770).at n=4A072494
- Smallest nontrivial multiple of n ending in n. By nontrivial one means a(n) is not equal to n or concatenation of n with itself.at n=38A083466
- A B3-sequence: a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the sums of any three terms are all distinct.at n=18A096772
- a(n) = n*(n+5)*(50+45*n+n^2)/24.at n=12A101861
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 8 multiples of n-1, n-2, ..., 1, for n>=1.at n=45A113745
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 10 multiples of n-1, n-2, ..., 1, for n>=1.at n=40A113747
- Denominators of n-th convergent to continued fraction with semiprime terms.at n=4A118836
- Duplicate of A118836.at n=4A121661
- a(n) = 392*n - 1.at n=19A158004
- a(n) = 196*n - 1.at n=39A158225
- a(n) = 784*n - 1.at n=9A158399