13889
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15840
- Proper Divisor Sum (Aliquot Sum)
- 1951
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12096
- Möbius Function
- -1
- Radical
- 13889
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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
- no
- Odd
- yes
Appears in sequences
- Hexagonal prism numbers: a(n) = (n + 1)*(3*n^2 + 3*n + 1).at n=16A005915
- Binomial transform of primes.at n=10A007443
- Pseudoprimes to base 39.at n=28A020167
- a(n) = n*(15*n + 1)/2.at n=43A022273
- Triangles in open triangular matchstick arrangement (triangle minus one side) of side n.at n=38A045947
- Distinct odd numbers in the numerators of the 1/3-Pascal triangle (by row).at n=43A046557
- Distinct odd numbers in writing first numerator and then denominator of each element to the right of the central elements of the 1/3-Pascal triangle (by row).at n=42A046561
- Surround numbers of a length 2n zig-zag.at n=33A060641
- (Nearest integer to n^6/36) / 2.at n=9A061005
- Number of partitions of n into parts having at most two prime-factors.at n=36A101049
- Number of partitions of n with rank 3 (the rank of a partition is the largest part minus the number of parts).at n=52A101200
- Values of z arising from representations of n >= 11 in A085514.at n=12A102777
- a(n) = floor(e^(n+1) - e^n) - Fibonacci(n).at n=9A110958
- a(0)=1, a(1)=1, a(n) = 17*a(n/2) for n=2,4,6,..., a(n) = 16*a((n-1)/2) + a((n+1)/2) for n=3,5,7,....at n=14A116523
- a(n) = Sum_{i=0..n} C(n,i)^2*i!*4^i + 2^n*n!.at n=4A121079
- a(n) = n*(4*n^2 + n - 1)/2.at n=18A125200
- Number of n X n binary arrays with all ones connected only in a 01010-11111 pattern in any orientation.at n=7A147059
- Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 01010-11111 pattern in any orientation.at n=17A147061
- Centered 28-gonal numbers.at n=31A195314
- Number of 2 X n arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without move-in move-out straight through or left turns.at n=10A221756