7933
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7934
- 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
- 7932
- Möbius Function
- -1
- Radical
- 7933
- 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
- 52
- 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
- 1002
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Convolution of natural numbers >= 2 and Lucas numbers.at n=13A023549
- Numerators of continued fraction convergents to sqrt(991).at n=3A042918
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x8^2 = n.at n=32A045850
- Fourth term of strong prime quintets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=22A054811
- P(p(n)), P = primes (A000040), p = partition numbers (A000041).at n=22A058697
- Primes p such that p^10 reversed is also prime.at n=34A059703
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 6.at n=41A075586
- Balanced primes of order two.at n=38A082077
- Balanced primes of order five.at n=22A096697
- Balanced primes (A090403) of index 2.at n=40A096706
- Matrix cube of triangle A105535 and, in this flattened form as read by rows, also equals diagonal 2 of A105535.at n=46A105539
- Primes p such that p's set of distinct digits is {3,7,9}.at n=10A108385
- n times n+3 gives the concatenation of two numbers m and m-7.at n=2A116241
- Number of partitions of n into at least two parts such that the product of largest and smallest part does not exceed n.at n=32A116901
- Primes for which the weight as defined in A117078 is 9 and the gap as defined in A001223 is 4.at n=29A119594
- a(n) = (n^6 - 126*n^5 + 6217*n^4 - 153066*n^3 + 1987786*n^2 - 13055316*n + 34747236)/36.at n=13A121888
- Numbers k such that (3^k + 7^k)/10 is prime.at n=5A128067
- Primes of the form k^2 + 12.at n=15A138368
- Numbers n such that primorial(n)/2 - 8 is prime.at n=27A139442
- Primes of the form 28x^2+28xy+37y^2.at n=30A139996