11123
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12996
- Proper Divisor Sum (Aliquot Sum)
- 1873
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9492
- Möbius Function
- 0
- Radical
- 1589
- Omega Function (Ω)
- 3
- 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
- 130
- 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
- a(n) = floor(exp(19/24)*n!).at n=6A030800
- Number of partitions of n into parts 3k or 3k+1.at n=49A035360
- Numbers k such that (k!)^4+1 is prime.at n=8A051855
- 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=26A071159
- G.f.: Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 5.at n=35A091773
- 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=18A096299
- List of Lyndon words on {1,2,3} sorted first by length and then lexicographically.at n=35A102660
- 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=18A110382
- Sorted list of strings that can be obtained by starting with 123 and repeatedly doubling any substring in place.at n=4A135475
- Numbers k such that k and k^2 use only the digits 1, 2, 3, 7 and 9.at n=14A136983
- Integer part of 2^n/log(2^n).at n=16A141602
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 0, 1), (0, 1, 0), (1, -1, -1)}.at n=9A149826
- Number of binary strings of length n with no substrings equal to 0000, 0011, or 1001.at n=17A164428
- Smallest number whose sum of cubes of digits is n.at n=38A165370
- Lexicographically earliest increasing sequence which lists the positions of the zero digits in the sequence.at n=16A167519
- Coefficients of the expansion of:p(x,t)=(1 - x)/((1 - x*Exp[t*(1 - x)])*(1 - x*Exp[t*(1 + x)])).at n=43A168347
- Numbers of rank 10 in the poset of lunar numbers.at n=31A191752
- 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=27A193023
- Smallest positive integer with n anagrams.at n=19A199357
- Numbers whose product of digits is 6.at n=31A199988