8922
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17856
- Proper Divisor Sum (Aliquot Sum)
- 8934
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2972
- Möbius Function
- -1
- Radical
- 8922
- 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
- 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
- 96
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 4 positive 6th powers.at n=28A003360
- Number of partitions of n of the form a_1*b_1^2 + a_2*b_2^2 + ...; number of semisimple rings with p^n elements for any prime p.at n=28A004101
- Numbers k such that sigma(k) = sigma(k+3).at n=1A015861
- Positive numbers having the same set of digits in base 8 and base 9.at n=39A037441
- Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,2.at n=4A037616
- Numbers which are the sum of their proper divisors containing the digit 4.at n=15A059463
- Numbers k such that k divides prime(k^2)+1.at n=20A067853
- Matrix square of triangle A063967.at n=30A091700
- Positive integers n such that 13^n == 7 (mod n).at n=12A116632
- Binomial transform of A119020.at n=8A119021
- a(n) = Sum_{k=1..phi(n)} k*t(k), where t(k) is the k-th positive integer which is coprime to n and phi(n) is the number of positive integers which are <= n and are coprime to n.at n=44A135324
- Number of n X 3 binary arrays with every 1 having exactly two king-move neighbors equal to 1.at n=9A183444
- Denominators of Bernoulli numbers which are congruent to 3 (mod 9).at n=44A219543
- Bernoulli denominators with 8 divisors in increasing order (without repetitions).at n=39A219742
- Numbers k such that sigma(tau(phi(k))) = phi(tau(sigma(k))).at n=41A226118
- Abundant numbers that differ from the next abundant number by 3.at n=35A228382
- Positive even numbers which are neither of the form p + 2^m + 1 nor of the form p + 2^m - 1 with p prime.at n=9A270446
- a(n) is the number of creatures that can be made from exactly n Palago tiles.at n=16A325936
- Sum of the n-th maximal antirun of odd primes differing by more than two.at n=40A373405
- Number of integer partitions of n such that the least part plus the greatest part is odd.at n=35A390092