15589
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19008
- Proper Divisor Sum (Aliquot Sum)
- 3419
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12480
- Möbius Function
- -1
- Radical
- 15589
- 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
- 146
- 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
- a(n) = n*(27*n - 1)/2.at n=34A022284
- Expansion of Product_{m>=1} (1+x^m)^2.at n=30A022567
- a(n) = 5^n - n^2.at n=6A024051
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(2,5) + cn(3,5).at n=39A039894
- Number of isomorphism classes of separated dissections of an equilateral triangle into n nonoverlapping equilateral triangles.at n=15A167123
- Monotonic ordering of nonnegative differences 5^i-6^j, for 40>= i>=0, j>=0.at n=19A192193
- First number in larger of two distinct sets of n consecutive numbers with identical corresponding prime signatures.at n=10A208894
- Number of different positions in which a square with side length k, 1 <= k <= n - floor(n/3), can be placed within a bi-symmetric triangle of 1 X 1 squares of height n.at n=39A241526
- The 300-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=36A244804
- Number of length 3 1..(n+2) arrays with no leading partial sum equal to a prime and no consecutive values equal.at n=32A255718
- Positions of records in A166133.at n=32A256404
- Numbers n such that A166133(n) sets a new record and also satisfies A166133(n)=A166133(n-1)^2-1.at n=17A256422
- Expansion of Product_{k>=1} 1/(1-x^(k+4))^k.at n=34A263360
- Triangle read by rows: T(n,m) = one-half of number of embeddings of the n-wheel with k = n+1-2m regions (n >= 1, 0 <= m <= floor(n/2)).at n=17A301731
- Expansion of Product_{k>=1} (Product_{j=1..k} 1/(1 - x^(k*j))^j).at n=25A327066
- Number of ways to tile a strip of length n with squares, dominoes and trominoes, using an equal number of dominoes and trominoes.at n=20A387599