10067
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10068
- 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
- 10066
- Möbius Function
- -1
- Radical
- 10067
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- 1235
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Positive numbers k such that k and 7*k are anagrams in base 8 (written in base 8).at n=1A023078
- Primes that remain prime through 2 iterations of function f(x) = 8x + 1.at n=26A023260
- Expansion of 1/((1-4x)(1-6x)(1-10x)(1-11x)).at n=3A028142
- 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 99.at n=22A031597
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 5).at n=60A035578
- Discriminants of imaginary quadratic fields with class number 21 (negated).at n=32A046018
- Primes p such that p^9 reversed is also prime.at n=29A059702
- a(n) is the smallest number k such that A073813(k) = prime(n).at n=27A073814
- Class 7- primes.at n=2A081426
- Smallest prime in which the digit string can be partitioned in n+1 parts (0 parts allowed) such that the sum of the first n parts = the (n+1)th one.at n=3A088292
- Smallest member of a pair of consecutive twin prime pairs that have one prime between them.at n=38A089629
- Primes of the form 37n+3.at n=36A100203
- Lower bound twin primes such that their digital reverse is prime and a lower bound twin prime.at n=16A101783
- Primes p = prime(k) such that both p+2 and prime(k+4)-2 are prime numbers.at n=39A105411
- Partial sum of Catalan numbers A000108 multiplied by powers of 2.at n=6A112696
- Triangle built from partial sums of Catalan numbers A000108 multiplied by powers.at n=38A112705
- a(n) is such that the a(n)-th composite number is (n-th prime)^2.at n=27A120389
- Prime sums of 4 positive 5th powers.at n=12A123033
- A bisection of A129095: a(n) = A129095(2n-1) for n>=1.at n=43A129096
- Primes of the form 2x^2+2xy+683y^2.at n=39A140014