7351
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7352
- 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
- 7350
- Möbius Function
- -1
- Radical
- 7351
- 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
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 937
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Cuban primes: primes which are the difference of two consecutive cubes.at n=25A002407
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 85.at n=12A031583
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=8A031824
- Lower prime of a difference of 18 between consecutive primes.at n=28A031936
- Smallest prime == 1 mod (n^2).at n=34A035091
- Numbers n such that n and n+1 are differences between 2 positive cubes in at least one way.at n=9A038594
- Numbers ending with '1' that are the difference of two positive cubes.at n=30A038856
- Number of partitions satisfying cn(2,5) <= 1 and cn(3,5) <= 1.at n=39A039855
- Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=27A052029
- Least prime in A031936 (lesser of 18-twins) whose distance to the next 18-twin is 2*n.at n=12A052358
- 4 consecutive primes differ by 2n or more starting at a(n).at n=6A054698
- 4 consecutive primes differ by 2n or more starting at a(n).at n=8A054698
- 4 consecutive primes differ by 2n or more starting at a(n).at n=7A054698
- First prime starting a chain of exactly n consecutive primes congruent to 1 modulo 6.at n=4A055625
- Numbers n such that (19^n + 1)/20 is a prime.at n=5A057185
- Primes p such that x^49 = 2 has no solution mod p, but x^7 = 2 has a solution mod p.at n=2A059667
- Primes p such that p^11 reversed is also prime.at n=32A059704
- Primes p such that the greatest prime divisor of p-1 is 7.at n=37A061638
- Numbers p from A001125 such that 2*p-3 is prime.at n=12A063939
- Prefixing, suffixing or inserting a 7 in the number anywhere gives a prime.at n=40A069832