11233
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 287
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10948
- Möbius Function
- 1
- Radical
- 11233
- 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
- 205
- Smith Number
- no
- 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
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=35A000099
- a(n) = (d(n)-r(n))/2, where d = A026060 and r is the periodic sequence with fundamental period (1,0,0,0).at n=42A026061
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=30A031820
- a(n) is the unique positive integer m which has a self-conjugate partition whose parts are the first n primes.at n=39A067773
- Integers whose decimal expansion start with 1, do not contain zeros and each successive digit to the right is at most one greater than the previous digit.at n=34A071159
- Numbers k such that 5*6^k - 1 is prime.at n=19A079906
- List of strings in lexicographic order with property that for the 2^(m-1) strings of length m, the first entry is 1, the second distinct entry (reading from left to right) is 2, the third distinct entry is 3, etc.at n=21A096299
- Sum of prime-length repunits: Sum_{k=1..n} r(prime(k)), where r()=A002275.at n=3A097708
- Numbers which are sum of distinct unary numbers (containing only ones), i.e., numbers which are sum of distinct numbers of the form (10^k - 1)/9.at n=21A110382
- Sums of p-th to the q-th prime where p and q are twin primes.at n=24A114379
- Sum of the squares of the quadratic residues of prime(n).at n=14A125613
- Sorted list of strings that can be obtained by starting with 123 and repeatedly doubling any substring in place.at n=6A135475
- a(n) = 14*n^3 - 30*n^2 + 24*n - 7.at n=9A155883
- a(n) = 288*n + 1.at n=38A157990
- a(n) = 78*n^2 + 1.at n=12A158769
- Number of different nonnegative solutions of equation: x^2 - y^2 = k! for 1 <= k <= n.at n=16A181893
- Numbers of rank 10 in the poset of lunar numbers.at n=41A191752
- Triangle read by rows: the n-th row has length A000110(n) and contains all set partitions of an n-set in canonical order.at n=36A193023
- Centered 32-gonal numbers.at n=26A195315
- Number of n X 2 (-1,0,1) arrays of determinants of 2 X 2 subblocks of some (n+1) X 3 binary array with rows and columns of the latter in lexicographically nondecreasing order.at n=12A226866