6301
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6302
- 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
- 6300
- Möbius Function
- -1
- Radical
- 6301
- 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
- 62
- 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
- 820
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From a Goldbach conjecture: records in A185091.at n=37A002092
- a(n) = prime(n*(n+1)/2).at n=39A011756
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=23A023285
- n written in fractional base 9/6.at n=28A024654
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=39A024974
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A001950 (upper Wythoff sequence).at n=17A025095
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=38A025400
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=11A031822
- Value of D for incrementally largest values of minimal x satisfying Pell equation x^2-Dy^2=1.at n=29A033316
- Primes p such that both p-2 and 2p-1 are prime.at n=38A038869
- Numbers whose base-5 representation contains exactly three 0's and two 2's.at n=22A045186
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049727.at n=40A049739
- Automorphic primes: p such that p^p ends with the digits of p.at n=44A052228
- a(n) = Sum_{k=1..n} lcm(k,n)/gcd(k,n).at n=24A056789
- Primes with 10 as smallest positive primitive root.at n=16A061323
- Primes p such that the greatest prime divisor of p-1 is 7.at n=34A061638
- Centered 10-gonal numbers.at n=35A062786
- Primes of form 100*k + 1.at n=21A062800
- Centered 21-gonal numbers.at n=24A069178
- Primes p such that x^3 = 2 has a solution mod p, but x^(3^2) = 2 has no solution mod p.at n=32A070180