10221
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13632
- Proper Divisor Sum (Aliquot Sum)
- 3411
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6812
- Möbius Function
- 1
- Radical
- 10221
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- 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
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=14A023059
- A064637 converted to factorial base.at n=9A064477
- a(n) = a(n-1) + a(n-4); first four terms are 0,1,2,3.at n=29A078467
- a(n) = 106 written in base n.at n=2A095602
- a(n) = 106 written in base 11 - n.at n=8A095603
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k ascents of length 2.at n=36A102402
- Number of Dyck paths of semilength n having no ascents of length 2.at n=11A102403
- Next term is the sum of previous term and the square of the sum of its decimal digits, with a(0) = 10.at n=32A112787
- a(n) = 8*n^2 - 4*n - 3.at n=35A118057
- Expansion of (1-x-x^2)/(1-2x-x^2+x^4).at n=12A124217
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=40A132184
- Inverse Mobius transform of the superabundant numbers, A051731 * A004394.at n=19A134672
- Integers k such that all the digits needed to write the consecutive nonnegative integers from 0 to k fill exactly a square (no holes, no overlaps).at n=35A158022
- Primes in lunar arithmetic in base 3 written in base 3.at n=37A170806
- Primes written in the factorial base.at n=32A214617
- Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 2 ("abcdefg" scheme: bits represent segments in clockwise order).at n=35A234692
- Smallest number of each digital type.at n=52A266946
- Record values in A243145.at n=46A299112
- Numbers k such that the concatenation k21 is a square.at n=40A321383
- Primes written in primorial base (A049345).at n=48A324550