10211
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10212
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10210
- Möbius Function
- -1
- Radical
- 10211
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1253
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=26A001135
- Primes in ternary.at n=26A001363
- Primes having only {0, 1, 2} as digits.at n=10A036953
- Positive numbers having the same set of digits in base 3 and base 10.at n=40A037422
- a(n) * a(n)_reversed is a palindrome (and a(n) is not palindromic).at n=38A048344
- Primes q of the form q = 10p + 1, where p is also prime.at n=38A055781
- Numbers n such that sum of digits = number of digits.at n=39A061384
- Primes whose sum of digits is 5.at n=16A062341
- Smallest prime larger than square of n-th prime.at n=25A062772
- Primes with arithmetic mean of digits = 1 (sum of digits = number of digits).at n=6A069710
- Variant of the factorial base representation of n.at n=29A072001
- Primes of form 4k+3 written in base 3.at n=13A072805
- Duplicate of A069710.at n=6A073903
- Least m such that A078142(m) gives the n-th prime, where A078142(n) is the sum of the differences of the distinct prime factors p of n and the next square larger than p.at n=43A073939
- Numbers k such that k, sigma(k) and phi(k) have the same decimal digits (ignoring multiplicity).at n=7A082059
- Let a(1)=1; for n>1, a(n)=nextprime( a(n-1)^(n/(n-1)) ).at n=16A084573
- Sequence A085188 shown in factorial base. (The longest prefix which can be shown with digits < 10.)at n=30A085187
- Prime numbers such that first reversing digits and after squaring equals the result of first-squaring and after-reversing. Primes in A085305.at n=22A085306
- Primes that are a concatenation of a prime and its first digit.at n=30A085414
- Another lazy binary representation of n: similar to A089591 except that the single carry is performed before the increment instead of after.at n=27A089600