10271
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10272
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10270
- Möbius Function
- -1
- Radical
- 10271
- 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
- 60
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1260
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that 666p is palindromic.at n=7A030095
- Primes which can be expressed as concatenation of cubes.at n=23A066592
- Numbers k such that k, sigma(k) and phi(k) have the same decimal digits (ignoring multiplicity).at n=8A082059
- Primes arising in A086498: a(n) = (2n)-th partial sum of A086498.at n=33A086499
- Smallest member of a pair of consecutive twin prime pairs that have one prime between them.at n=39A089629
- a(n) is the lesser term of the smallest twin prime pair such that if P=(a(n)^2+n)^2+n, then P and P+2 are also twin primes. a(n) is 0 if no such pair exists.at n=9A093245
- Balanced primes of order nine.at n=8A096701
- Smallest prime equal to the sum of exactly 2n+1 distinct odd primes in at least n ways.at n=33A100697
- Number of compositions of n into pairwise relatively prime parts.at n=20A101268
- Primes p = prime(k) such that both p+2 and prime(k+4)-2 are prime numbers.at n=40A105411
- Reverse these primes to get golden semiprimes.at n=2A108706
- Smallest prime of the form 10^k + prime(n), k >= d, the number of digits in prime(n). 0 if no such primes exist. a(n) = 0 if prime(n) + 1 == 0 (mod 3).at n=57A114782
- Primes p such that p + 2, 18*p^2 + 1, and 18*(p+2)^2 + 1 are all primes.at n=8A115272
- Larger of two consecutive Sophie Germain primes with the same digital sum.at n=25A118507
- Number of base 19 n-digit numbers with adjacent digits differing by four or less.at n=4A126514
- Primes of the form 15x^2+56y^2.at n=39A139991
- Primes of the form 35x^2+39y^2.at n=38A140026
- Primes of the form 8x^2+231y^2.at n=39A140032
- Primes congruent to 10 mod 31.at n=42A142014
- Primes congruent to 22 mod 37.at n=34A142131