7577
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7578
- 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
- 7576
- Möbius Function
- -1
- Radical
- 7577
- 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
- 962
- 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=45A001134
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=39A007354
- Numbers k such that the continued fraction for sqrt(k) has period 35.at n=16A020374
- Primes that contain digits 5 and 7 only.at n=6A020467
- a(n) = Sum_{k=0..n} T(n,k), where T is the array defined in A025177.at n=9A025191
- Primes that are concatenations of n with n + 2.at n=11A032625
- Numbers having three 7's in base 10.at n=12A043519
- Primes p such that pp'-2 is prime, where p' denotes the next prime after p.at n=43A048797
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=19A052232
- Smallest prime in n-th shell of prime spiral.at n=16A053998
- Primes q of form q=10p+7, where p is also prime.at n=34A055783
- Primes p such that x^24 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=36A059331
- Primes starting and ending with 7.at n=23A062334
- The minimal number which has multiplicative persistence 8 in base n.at n=0A064872
- Primes p such that p^6 + p^3 + 1 is prime.at n=41A066100
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 6,2]; short d-string notation of pattern = [662].at n=11A078857
- Larger of a pair of consecutive primes having only prime digits.at n=9A082756
- Primes that are a concatenation of a prime and its first digit.at n=20A085414
- Primes p such that 8p +1 and (p-1)/8 are primes.at n=6A085958
- Primes having only {3, 5, 7} as digits.at n=25A087363