7237
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7238
- 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
- 7236
- Möbius Function
- -1
- Radical
- 7237
- 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
- 925
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 75.at n=2A020414
- Primes that remain prime through 3 iterations of function f(x) = 9x + 8.at n=23A023298
- Primes that remain prime through 4 iterations of the function f(x) = 9x + 8.at n=6A023326
- Primes with first digit 7.at n=42A045713
- Primes of the form n^3 + n^2 + 17, for nonnegative values of n.at n=16A050266
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=13A052233
- Third term of strong prime 5-tuples: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=18A054810
- Primes p such that x^67 = 2 has no solution mod p.at n=15A059330
- Primes with every digit a prime and the sum of the digits a prime.at n=31A062088
- Primes starting and ending with 7.at n=11A062334
- Primes in A005728, which counts the terms in the Farey sequence of order n.at n=49A078334
- a(n) = prime(2*n*(n+1)+1).at n=21A078746
- Initial term in sequence of four consecutive primes whose consecutive differences have d-pattern = [6, 4, 6]; short d-string notation for pattern = [646].at n=14A078856
- Least initial value for an Euclid/Mullin sequence whose 4th term is prime(n). prime(1)=2 is never a fourth term, so offset=2.at n=38A094465
- Primes of the form 2n^2 + 26n + 1.at n=42A122114
- Canyon primes.at n=12A134971
- Primes of the form k^2 + 12.at n=14A138368
- Primes of the form 13x^2+105y^2.at n=27A140020
- Primes of the form 28x^2+20xy+85y^2.at n=30A140625
- Primes congruent to 97 or 113 mod 210.at n=38A140830