5101
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5102
- 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
- 5100
- Möbius Function
- -1
- Radical
- 5101
- 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
- 85
- 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
- 682
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=40A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=44A001133
- Coordination sequence T1 for Zeolite Code AFO.at n=47A008015
- Smallest prime that begins with n.at n=50A018800
- Numbers k such that the continued fraction for sqrt(k) has period 95.at n=2A020434
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=17A023271
- Least m such that if r and s in {1/4, 1/8, 1/12, ..., 1/4n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=27A024839
- Primes of the form j^2 + (j+1)^2.at n=21A027862
- Numbers k such that k^2 is palindromic in base 7.at n=34A029992
- Primes with property that when squared all even digits occur together and all odd digits occur together.at n=35A030480
- Smallest nontrivial extension of n which is prime.at n=50A030665
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=18A031808
- Lists of 4 primes in arithmetic progression; common difference 6.at n=12A033449
- Initial prime in set of 4 consecutive primes with common difference 6.at n=3A033451
- Odd k for which k+2^m is composite for all m < k.at n=4A033919
- Primes with first digit 5.at n=29A045711
- Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes.at n=35A047948
- Possible traces of n-step walks on 1-D lattice, ignoring translations.at n=15A048248
- Values of C (the hypotenuse) of a Pythagorean triangle with A (the short leg) and C both prime and part of a twin prime.at n=5A051859
- Automorphic primes: p such that p^p ends with the digits of p.at n=37A052228