7793
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7794
- 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
- 7792
- Möbius Function
- -1
- Radical
- 7793
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 101
- 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
- 987
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=46A001134
- Primes p == 1 (mod 8), p = a^2 +64*b^2 such that y^2 = x^3 + p*x has rank 0.at n=36A007765
- Numbers k such that the continued fraction for sqrt(k) has period 51.at n=10A020390
- a(n) = prime(Fibonacci(n)).at n=15A030427
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 25.at n=1A031613
- Number of primitive subsequences of {1, 2, ..., n}.at n=19A051026
- First prime starting a chain of exactly n consecutive primes congruent to 5 modulo 6.at n=5A055626
- Initial prime in first sequence of n primes congruent to 2 modulo 3.at n=5A057621
- Initial prime in first sequence of n consecutive primes congruent to 5 modulo 6.at n=5A057622
- Primes p such that x^24 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=37A059331
- Numbers such that every cyclic permutation is a prime.at n=29A068652
- a(n) = 6^n + 7^n + 8^n.at n=4A074577
- Numbers k such that T(k) = T(A072522(k)) + T(A072522(k+1)), T(i) being the triangular numbers.at n=20A080824
- Consider the harmonic progression 1,1/2,1/3,1/4,1/5,..., group the terms such that the n-th group contains n members like this (1/1),(1/2,1/3),(1/4,1/5,1/6), (1/7,1/8,1/9,1/10),... a(n) = the numerator of the reduced rational sum of the terms of the n-th group.at n=4A081971
- Primes which are the sum of three positive 4th powers.at n=15A085318
- Primes with at least four digits such that sum of any three_neighbor_digits is prime; first and last digits are neighbors.at n=23A086259
- Primes arising in A086498: a(n) = (2n)-th partial sum of A086498.at n=29A086499
- Primes p such that q-p = 24, where q is the next prime after p.at n=11A098974
- Primes with digit sum = 26.at n=31A106764
- Primes p such that p's set of distinct digits is {3,7,9}.at n=9A108385