8973
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12974
- Proper Divisor Sum (Aliquot Sum)
- 4001
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5976
- Möbius Function
- 0
- Radical
- 2991
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of bipartite partitions of n white objects and 2 black ones.at n=20A000291
- a(n) = T(n,2n-5), T given by A027023.at n=8A027029
- Numbers k such that A064604(k) is divisible by k.at n=10A064607
- Numbers n such that n and n+2 are of the form p^2*q where p and q are distinct primes.at n=31A074173
- Number of unlabeled, connected graphs on n vertices with no induced subgraph isomorphic to a diamond, where a diamond is the graph on four vertices formed by removing an edge from the complete graph K4.at n=8A079573
- a(n) = -1/16-3*n^2/8+17*n/12+n^3/12+(-1)^n/16.at n=48A088795
- Number of compositions of n where the smallest part is greater than or equal to the number of parts.at n=41A098131
- (p*q - 1)/2 where p and q are consecutive odd primes.at n=30A102770
- a(n) = ceiling(g(A000073(n))) with g(k) = (k-1)^2/(4k).at n=18A115792
- This is to A139026 as A139026 to A139025, see A139025 for details.at n=3A139027
- Binomial transform of [1, 2, 3, 4, 0, 0, 0, ...].at n=24A139488
- Numbers k which can be split into two numbers x and y such that x^3 + y^2 is a multiple of k.at n=28A162451
- Number of n X 5 binary arrays with every 1 having exactly three king-move neighbors equal to 1.at n=10A183452
- Number of nondecreasing arrangements of n+3 numbers in 0..3 with each number being the sum mod 4 of three others.at n=32A183898
- Numbers that can be formed using its own digits in order and only addition and fourth power operators.at n=13A195672
- Number of (n+2) X 4 0..1 matrices with each 3 X 3 subblock idempotent.at n=14A224553
- Numbers k such that k^2 +/- (k-1) and (k-1)*k^2 +/- 1 are all primes.at n=17A239326
- 5*n^2 + 4*n - 15.at n=41A239794
- Numbers n such that A = n + digitsum(n) is divisible by the highest power of 10 <= A.at n=27A242799
- Iterates of A234742, starting from value a(0) = 29, with a(1) = A234742(a(0)), a(2) = A234742(a(1)), etc.at n=8A260729