7833
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11968
- Proper Divisor Sum (Aliquot Sum)
- 4135
- 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
- 4464
- Möbius Function
- -1
- Radical
- 7833
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 57
- 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) = floor(n*(n-1)*(n-2)/7).at n=39A011889
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BEA = Beta Na7[Al7Si57O128] starting with a T7 atom.at n=12A019073
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=47A024835
- 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 58.at n=31A031556
- Number of winning length n strings with a 3-symbol alphabet in "same game".at n=10A035617
- Odd numbers with only palindromic prime factors whose sum is palindromic (counted with multiplicity).at n=24A046356
- Numbers of the form p*q*r where p,q,r are distinct odd palindromic primes (odd terms from A002385).at n=33A046405
- Numbers that are the product of 3 prime factors whose concatenation is a palindrome.at n=21A046452
- a(n) = 4*n^2 - 6*n + 3.at n=44A054569
- Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,...at n=42A062708
- a(n) = 16*n^2 + 4*n + 1.at n=22A082041
- Numbers n such that p = n^2 + 2, p+2 and p+6 are consecutive primes.at n=17A086380
- a(n) is the least k such that k*(k+1)*Mersenne-prime(n)+1 is prime.at n=22A104038
- Number of partitions of {1,...,n} containing 2 strings of 3 consecutive integers such that only v-strings of consecutive integers can appear in a block, where v = 1,2,3.at n=5A105492
- Start with 1 and repeatedly reverse the digits and add 56 to get the next term.at n=37A118152
- p^2-p+1 central polygonal numbers with prime indices A002061(prime(n)).at n=23A119959
- Start with 1057 and repeatedly reverse the digits and add 2 to get the next term.at n=31A120215
- Numbers of the form m = p1 * p2 * p3 where for each d|m we have (d+m/d)/2 prime and p1 < p2 < p3 each prime.at n=35A128284
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1000-1000-1111-0100 pattern in any orientation.at n=11A147116
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (-1, 1, 1), (1, 0, -1), (1, 1, 0)}.at n=8A149157