12371
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12600
- Proper Divisor Sum (Aliquot Sum)
- 229
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12144
- Möbius Function
- 1
- Radical
- 12371
- 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
- 94
- 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
- Number of nonequivalent dissections of a polygon into n quadrilaterals by nonintersecting diagonals up to rotation.at n=9A005034
- Number of matched trees with 2n nodes.at n=9A005751
- Position of 2^n among the powers of primes (A000961).at n=17A024622
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,1,2.at n=4A037762
- T(n,n+1), array T as in A047030.at n=8A047036
- Number of partitions of n having nonnegative even rank (the rank of a partition is the largest part minus the number of parts).at n=40A101709
- Numbers that are the product of two distinct primes a and b, such that a^3+b^3 is the average of a twin prime pair.at n=35A176876
- Mountain nonprimes.at n=47A182776
- Positions of prime powers p^e with p < e within A000961.at n=23A192187
- Number of 3X3X3 triangular 0..n arrays with every horizontal row having the same average value.at n=13A214596
- Number of 5 X n 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=7A223841
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 107", based on the 5-celled von Neumann neighborhood.at n=25A270166
- The sum of the widths of all bargraphs of semiperimeter n (n>=2).at n=8A271943
- Least inverse of A073454: Smallest m such that m divided by the primes up to m have exactly n repeated residues.at n=18A274320
- Numbers k such that sigma(k) = sigma(k - d(k)).at n=25A277273
- Array read by antidiagonals: T(n,k) = number of nonequivalent dissections of a polygon into n k-gons by nonintersecting diagonals up to rotation (k >= 3).at n=53A295224
- Number of nX5 0..1 arrays with every element unequal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.at n=11A304138
- Numbers k such that both k and k+2 are de Polignac numbers (A006285).at n=14A330284
- a(n) = Sum_{i=1..n} (prime(i+1)-prime(i))*prime(n+1-i).at n=40A343531
- Position of first appearance of n in A057820, the sequence of first differences of prime-powers, or 0 if n does not appear.at n=28A376341