7393
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
- 7394
- 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
- 7392
- Möbius Function
- -1
- Radical
- 7393
- 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
- 57
- 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
- 939
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=43A007353
- Right-truncatable primes: every prefix is prime.at n=42A024770
- Primes of form k^2 - 3.at n=15A028874
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=20A031816
- Lower prime of a difference of 18 between consecutive primes.at n=29A031936
- a(n) = a(n-1) + a(m) for n >= 3, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = 3.at n=41A050069
- Numbers n such that (22^n+1)/23 is a prime.at n=9A057188
- Primes p such that p^6 reversed is also prime.at n=36A059699
- Centered 14-gonal numbers.at n=32A069127
- Base 4 expansion of 1/n has equal percentage of each digit 0,1,2,3.at n=10A074709
- Base 4 expansion of 1/n has equal percentage of each digit 0,1,2,3 (primitive values of n only).at n=9A074900
- a(n) = 15*n^2 + 6*n + 1.at n=22A080861
- Third row of number array A082105.at n=42A082109
- Coefficients of 1/(1-2*x-7*x^2)^(1/2); also, a(n) is the central coefficient of (1+x+2*x^2)^n.at n=8A084601
- a(1) = 1; then primes associated with A091850.at n=26A091851
- Where A093316 first equals n.at n=16A093319
- Primes p such that both prime(p) + prime(p+1) +/-1 are also primes.at n=38A093734
- Leading diagonal of triangle A093922.at n=31A093923
- a(n) = A000040(A096480(n)).at n=25A096481
- Primes p such that p - 6 is a product of two consecutive primes.at n=12A098061