10011
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 3
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 3813
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6440
- Möbius Function
- -1
- Radical
- 10011
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 210
- 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
- Numbers written in base of triangular numbers.at n=18A000462
- Least positive multiple of n written in base 3 using only 0 and 1.at n=16A004283
- Least positive multiple of n written in base 4 using only 0 and 1.at n=28A004284
- Least positive multiple of n written in base 7 using only 0 and 1.at n=10A004287
- Least positive multiple of n written in base 7 using only 0 and 1.at n=32A004287
- Primes written in base 2.at n=7A004676
- The binary numbers (or binary words, or binary vectors, or binary expansion of n): numbers written in base 2.at n=19A007088
- n written in base where place values are positive squares.at n=29A007961
- 19 in base 19-n.at n=17A008716
- Binary reflected Gray code.at n=29A014550
- a(n) = (2*n+1)*(4*n+1).at n=35A014634
- Pseudoprimes to base 95.at n=34A020223
- 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 33.at n=31A031531
- Numbers k such that 101*2^k+1 is prime.at n=26A032400
- Roots of 'non-palindromic cubes remaining cubic when written backwards'.at n=2A035125
- Lexicographically earliest strictly increasing base-2 autovarious sequence: a(n) = number of distinct a(k) mod 2^n (written in base 2).at n=8A037090
- Lexicographically earliest strictly increasing base 3 autovarious sequence: a(n) = number of distinct a(k) mod 3^n (written in base 3).at n=12A037091
- Positive numbers having the same set of digits in base 2 and base 10.at n=15A037415
- Numbers k such that k is a substring of its base-2 representation.at n=14A038102
- Lexicographically earliest strictly increasing base 4 autovarious sequence: a(n) = number of distinct a(k) mod 4^n (written in base 4).at n=11A038113