10667
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10668
- 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
- 10666
- Möbius Function
- -1
- Radical
- 10667
- 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
- 148
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1302
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=41A005735
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=40A005735
- a(n) = position of n^3 + (n+1)^3 + (n+2)^3 in A003072.at n=30A024972
- Lower prime of a difference of 20 between consecutive primes.at n=17A031938
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,2,0,1.at n=5A037787
- Primes for which only two iterations of 'Prime plus its digit sum equals a prime' are possible.at n=43A048524
- Primes of the form 4*k^2 + 4*k + 59.at n=42A048988
- Primes which, although they have correct parity, are not in the prime number maze.at n=9A065123
- Smallest prime factor of n^n-(n-1)^(n-1).at n=23A068954
- a(0) = 2; a(n) for n > 0 is the smallest prime greater than a(n-1) that differs from a(n-1) by a square.at n=36A073609
- a(n) = floor((n+2)^(n+2)/n^n).at n=37A078111
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=25A095651
- Least positive integer that can be represented as the sum of a prime and a triangular number in exactly n ways.at n=46A101182
- Primes p such that little googol - p is prime.at n=25A108256
- Primes p such that 6p + 7 is a square.at n=35A110014
- Prime differences of tetranacci numbers.at n=22A113244
- Series expansion for monomer distance of self-avoiding walks on the triangular lattice.at n=4A121793
- a(n) = n^3 plus sum of digits of n^3.at n=21A123135
- Numbers k such that (11^k - 3^k)/8 is prime.at n=8A128027
- Intersection of A061068 and A064270.at n=26A128996