10867
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10868
- 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
- 10866
- Möbius Function
- -1
- Radical
- 10867
- 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
- 161
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1322
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that (11^k - 1)/10 is prime.at n=9A005808
- Numbers such that ten iterations of Reverse and Add are needed to reach a palindrome.at n=20A015991
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=27A020425
- Expansion of Product_{m>=1} (1 - m*q^m)^2.at n=26A022662
- Duplicate of A005808.at n=9A028489
- Lower prime of a pair of consecutive primes having a difference of 16.at n=35A031934
- Denominators of continued fraction convergents to sqrt(524).at n=11A042003
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=25A046020
- a(n) is the smallest n-digit prime p such that the concatenation a(1)a(2)...a(n-1)p is prime, with a(1) = 2.at n=4A049462
- Least prime in A031934 (lesser of 16-twins) whose distance to the next 16-twin is 6*n.at n=12A052357
- a(n) = 6*n^2 + 6*n + 31.at n=42A060834
- Primes of the form 6*k^2 + 6*k + 31.at n=36A060844
- Numbers which need ten 'Reverse and Add' steps to reach a palindrome.at n=19A065215
- Five-digit distinct-digit primes.at n=33A074671
- Primes p such that 2^p-1 and the p-th Fibonacci number have a common factor. Prime terms of A074776.at n=2A080050
- Number of triangular partitions of n of order 3.at n=29A084439
- Primes p such that 6p + 1 and (p-1)/6 are primes.at n=21A085957
- Greatest prime factor of prime(n)! - prime(n)# + 1.at n=4A103857
- Primes p equal to the sum of two successive sexy primes - 1 such that p - 6 is also prime.at n=21A104047
- Largest prime < 10*a(n-1), a(1)=11.at n=3A124290