10022
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
- 4
- Divisor Sum
- 15036
- Proper Divisor Sum (Aliquot Sum)
- 5014
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5010
- Möbius Function
- 1
- Radical
- 10022
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- yes
- Odd
- no
Appears in sequences
- Primes in ternary.at n=23A001363
- Fibonacci numbers written in base 3.at n=11A004686
- 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 100.at n=3A031598
- Positive numbers having the same set of digits in base 3 and base 10.at n=35A037422
- In the list of divisors of n (in base 3), each digit 0-2 appears equally often.at n=1A045811
- a(n) * a(n)_reversed is a palindrome (and a(n) is not palindromic).at n=32A048344
- Coefficients of monic irreducible polynomials over GF(3) listed in lexicographic order.at n=15A058944
- Coefficients of monic primitive irreducible polynomials over GF(3) listed in lexicographic order.at n=8A058949
- Numbers n such that sum of digits = number of digits.at n=31A061384
- Coefficients of irreducible polynomials over GF(3) listed in lexicographic order.at n=18A065020
- a(n) = smallest k such that the Reverse and Add! trajectory of A063048(n) joins the trajectory of k.at n=8A089493
- a(n) = 89 written in base n.at n=2A095570
- a(n) = 89 written in base 12 - n.at n=9A095571
- Smaller of number pair whose squares are reversals of each other, with no leading zeros allowed.at n=33A106323
- Numbers in A125098 that are not in A123902.at n=35A125099
- Numbers k such that there are 9 digits in k^2 and for each factor f of 9 (1,3) the sum of digit groupings of size f is a square.at n=12A153747
- Hypercomma numbers: n occurs in the sequence S[k+1]=S[k]+10*last_digit(S[k-1])+first_digit(S[k]) for each "legal" splitting n=concat(S[0],S[1]).at n=32A166508
- Primes in lunar arithmetic in base 3 written in base 3.at n=31A170806
- Cantor's ordering of positive rational numbers, where a(n) is the balanced ternary representation of the "factorization" of the positive rational number into terms of A186285.at n=14A185169
- Numbers 3*n + 2 written in base 3.at n=29A190642