13223
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 1897
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11328
- Möbius Function
- 1
- Radical
- 13223
- 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
- 50
- 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
- a(n) = 10000*log_10(n) rounded up.at n=20A004230
- a(n) = A064842(n)/2.at n=42A064843
- a(n) = -a(n-1) - a(n-2) + a(n-3), a(0)=3, a(1)=-1, a(2)=-1.at n=29A073145
- a(n) = n^3 - n^2 - n - 1.at n=24A083074
- a(n) = A108466(A025487).at n=35A108467
- a(n) = 20 + floor( (1 + Sum_{j=1..n-1} a(j)) / 2 ).at n=16A120145
- Positive numbers y such that y^2 is of the form x^2+(x+343)^2 with integer x.at n=18A157246
- Values of 16*n^2+24*n+7, n>=0, each duplicated.at n=56A173294
- Values of 16*n^2+24*n+7, n>=0, each duplicated.at n=57A173294
- Numbers m having the same sum of divisors as m+20 has.at n=27A181647
- Numbers n such that n!3 + 3^10 is prime, where n!3 = n!!! is a triple factorial number (A007661).at n=25A261145
- a(n) = (n + 1)*(4*n^2 + 14*n + 9)/3.at n=20A268484
- Sum of terms of A293630 after generating the sequence for n steps (see comments).at n=11A298590
- Sum of the fifth largest parts of the partitions of n into 10 parts.at n=41A326594
- Numbers k that are the representation of primes in base 4 and in base 5.at n=21A359840
- Number of non-quanimous subsets of {1..n} containing n, meaning there is only one set partition with equal block-sums.at n=15A371790
- Index where n first appears in A381597.at n=29A381599
- a(n) is the number of ways to partition n X n X n cube into five distinct cuboids with three full-length axial spanning parts sharing only two cube corners each.at n=43A384511