7537
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
- 7538
- 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
- 7536
- Möbius Function
- -1
- Radical
- 7537
- 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
- 132
- 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
- 955
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=38A007354
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=28A020362
- Discriminants of totally real quartic fields.at n=33A023680
- n written in fractional base 9/7.at n=34A024655
- Palindromic primes in base 8.at n=25A029976
- Numbers whose set of base-12 digits is {1,4}.at n=28A032824
- Position reached by frog in A038027 or 0 if none. A038026(A038027(n)).at n=26A038028
- Integers n such that A047988(n)=3.at n=34A047986
- Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=28A052029
- Number of weakly connected digraphs with n arcs.at n=7A053454
- Numbers k such that 6*10^k + R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=15A056717
- Consider the line segment in R^n from the origin to the point v=(2,3,5,7,11,...) with prime coordinates; let d = squared distance to this line from the closest point of Z^n (excluding the endpoints). Sequence gives d times v.v.at n=13A059804
- Primes starting and ending with 7.at n=21A062334
- Primes which can be expressed as a sum of distinct powers of 3.at n=38A077717
- 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=[4, 6, 2]; short d-string notation of pattern = [462].at n=18A078851
- Primes having only {3, 5, 7} as digits.at n=23A087363
- Primes which when concatenated with their reverse and incremented by 2 yield a new prime.at n=44A088883
- Primes p of the form 2*prime(k) + 3 such that 2*prime(k+1) + 3 is the next prime after p.at n=20A089528
- Value of C in y = x^2 + 9x + C such that y is prime for all x = 0 to 5.at n=9A097437
- Coefficients of numerator polynomials of g.f.s for a certain necklace problem involving prime numbers.at n=47A103728