9067
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 9068
- 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
- 9066
- Möbius Function
- -1
- Radical
- 9067
- 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
- 47
- 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
- 1127
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence for sigma-CrFe, Position Xc.at n=24A009961
- Eleven iterations of Reverse and Add are needed to reach a palindrome.at n=31A015992
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=7A020437
- Expansion of (3-2*x-3*x^2-4*x^3)/(1-3*x+x^2+x^3+x^4).at n=10A024876
- 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 95.at n=3A031593
- Numbers k such that 29*2^k+1 is prime.at n=24A032364
- Primes with first digit 9.at n=24A045715
- Discriminants of imaginary quadratic fields with class number 9 (negated).at n=32A046006
- Primes p such that p^12 reversed is also prime.at n=21A059705
- Primes with 2 representations: p*q*r - 1 = u*v*w + 1 where p, q, r, u, v and w are primes.at n=27A063644
- Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.at n=29A065216
- Final terms of groups in A075639.at n=46A075642
- a(n) = prime(n*(n+1)/2 + n).at n=45A078723
- Primes p such that both p-1 and p+1 have at most 3 prime factors, counted with multiplicity; i.e., primes p such that bigomega(p-1) <= 3 and bigomega(p+1) <= 3, where bigomega(n) = A001222(n).at n=33A079153
- Smallest number obtained by placing a + in the first n digits of decimal expansion of Pi.at n=6A085732
- Primes p such that 6p + 1 and (p-1)/6 are primes.at n=19A085957
- Number of permissible patterns of primes in a fixed interval of n consecutive integers.at n=33A094660
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=22A095651
- Primes p such that q-p = 24, where q is the next prime after p.at n=14A098974
- Records in the sequence A024573 defined by [1/{n*e}], {x} := x - [x].at n=11A101262