9339
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13632
- Proper Divisor Sum (Aliquot Sum)
- 4293
- 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
- 5640
- Möbius Function
- -1
- Radical
- 9339
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 153
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=34A001976
- a(n) = Sum_{k>=1} floor(tau^(n-k)) where tau is A001622.at n=17A020956
- a(1) = 2; a(n+1) = a(n)-th composite.at n=32A022450
- Palindromic lucky numbers.at n=26A031161
- 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=29A031593
- Lucky numbers that are both palindromic and nonprime.at n=21A031880
- a(n) = T(0,n) + T(1,n-1) + ... + T(n,0), array T given by A048471.at n=8A036550
- Palindromes that start with 9.at n=15A043044
- Palindromes with exactly 3 distinct prime factors.at n=38A046393
- Palindromes expressible as the sum of 3 consecutive palindromes.at n=19A046498
- Numbers k such that phi(k) = phi(k-2) - phi(k-1).at n=2A066232
- Centered 23-gonal numbers.at n=28A069174
- Palindromic odd composite numbers that are the products of an odd number of distinct primes.at n=20A075808
- Palindromic odd numbers with exactly 3 prime factors (counted with multiplicity).at n=29A075814
- Palindromic odd composite numbers with an odd number of prime factors (counted with multiplicity).at n=32A075815
- Final terms of rows of A077529.at n=32A077530
- Smallest palindrome of the form nk+1 where k is also a palindrome:, or 0 if no such number exists; palindromes arising in A083837.at n=57A083838
- a(n) = Sum_{i=1..n} 2^(b(i) - 1), where b(n) is the differences between consecutive primes.at n=40A086769
- a(1) = 2; then smallest palindrome > 1 not occurring earlier such that every partial concatenation is a prime.at n=6A088086
- Palindromes divisible by the number formed by their internal digits.at n=51A088287