11223
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17160
- Proper Divisor Sum (Aliquot Sum)
- 5937
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7056
- Möbius Function
- 0
- Radical
- 3741
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 161
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=18A023059
- Numbers k such that k*(k+4) is a palindrome.at n=18A028555
- a(n) = least integer m such that the part after the decimal point of the n-th root of m starts with the digit 5.at n=21A034082
- a(1) = 8, a(n) = concatenation of two closest factors of a(n-1) whose product equals a(n-1) or if a(n-1) is a prime then the concatenation of 1 and a(n-1).at n=5A063403
- 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=31A071159
- Partition the concatenation 235711131719232931...of prime numbers into successive strings such that the n-th string is a multiple of n and >n.at n=8A077303
- 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=20A096299
- List of Lyndon words on {1,2,3} sorted first by length and then lexicographically.at n=41A102660
- Expansion of 1/((1-x)(1-x^2)(1-10x)).at n=4A104720
- 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=20A110382
- Sorted list of strings that can be obtained by starting with 123 and repeatedly doubling any substring in place.at n=5A135475
- 9 times pentagonal numbers: 9*n*(3*n-1)/2.at n=29A152996
- Sum of cube of digits is sum of digits of cube.at n=42A165551
- Squares in lunar arithmetic in base 4 written in base 4.at n=27A171460
- Squares in lunar arithmetic in base 5 written in base 5.at n=38A171564
- Round (3/2)^n.at n=25A179523
- Partial sums of A100706.at n=2A180027
- Numbers of rank 10 in the poset of lunar numbers.at n=37A191752
- 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=33A193023
- Three times second hexagonal numbers: 3*n*(2*n+1).at n=43A195319