9229
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 851
- 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
- 8380
- Möbius Function
- 1
- Radical
- 9229
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Numbers n such that phi(n + 1) | sigma(n) for n congruent to 1 (mod 3).at n=28A015817
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NES = NU-87 H4[Al4Si64O136].nH2O starting with a T1 atom.at n=12A019202
- Palindromes that start with 9.at n=14A043044
- Largest palindromic substring in 8^n.at n=27A046266
- Palindromes with exactly 2 prime factors (counted with multiplicity).at n=48A046328
- Palindromes with exactly 2 distinct prime factors.at n=45A046392
- Zero, together with positive numbers k such that prime(k) + k is a square.at n=32A064371
- Concatenation of R(n) (A004086) and n, omitting leading 0's.at n=28A071273
- Let s(k) denote the k-th term of an integer sequence such that s(0)=0 and s(i) for all i>0 is the least natural number such that no four elements of {s(0),..,s(i)} are in arithmetic progression. Then it appears that there are many set of 3 consecutive integers in s(k). Sequence gives the smallest element in those triples.at n=29A071711
- Palindromic odd squarefree numbers with an even number of distinct prime factors.at n=39A075810
- Palindromic odd numbers with exactly 2 prime factors (counted with multiplicity).at n=37A075812
- Beginning with 2, smallest palindrome >= the previous term such that every concatenation is a prime.at n=12A088093
- Fundamental discriminants of real quadratic number fields with class number 5.at n=43A094614
- Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k).at n=23A096926
- Palindromic Smith numbers.at n=13A098834
- Number of partitions of n with at most 2 odd parts.at n=44A100835
- Numbers of the concatenated form 9nn9.at n=2A102484
- Palindromes q derived from palindromes p such that pi(p) = q.at n=35A103358
- Numbers n such that prime(n) + n is a perfect power.at n=37A107605
- n plus the n-th prime gives a fourth power.at n=2A114066