7853
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7854
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 7852
- Möbius Function
- -1
- Radical
- 7853
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 83
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 992
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Largest prime factor of n! - 1.at n=9A002582
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=11A020396
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=29A023299
- Palindromic primes in base 4.at n=28A029972
- "CFK" (necklace, size, unlabeled) transform of 2,1,1,1...at n=28A032140
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5) < cn(1,5).at n=61A036858
- Let a (resp. b,c,d) be number of primes in the range {2..p} that end in 1 (resp. 3,7,9); sequence gives p such that a=d and b=c.at n=39A038562
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 17.at n=14A050966
- Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6*n.at n=28A052356
- First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=21A054808
- Primes p such that p^11 reversed is also prime.at n=34A059704
- a(n) = floor(surface area of a sphere with radius n).at n=24A066644
- Primes of the form perfect_power(n)+n.at n=17A075781
- Largest prime factor of the integer formed by truncating the decimal expansion of Pi to n places.at n=8A078604
- a(n) = prime(n*(n+1)/2+2).at n=44A078722
- Table T(m,n) = (3^m + 5^n)/2, for m, n = 0, 2, 4, 6, ... read by antidiagonals downwards.at n=17A081458
- Irregular primes whose indices are irregular primes of order one.at n=19A090869
- Least initial value for a Euclid/Mullin sequence whose 3rd term (= least prime divisor of 1+2p) equals the n-th prime. prime(1)=2 is never a third term, so offset=2.at n=28A094464
- Zeros of the Mertens function that are also prime.at n=44A100669
- List of triples of primes with common difference 12.at n=14A128312