13196
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 23100
- Proper Divisor Sum (Aliquot Sum)
- 9904
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6596
- Möbius Function
- 0
- Radical
- 6598
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- yes
- Odd
- no
Appears in sequences
- Convolution of Lucas numbers and A000201.at n=14A023621
- a(n) = [ (3rd elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.at n=13A024532
- Number of trees with n nodes and 4 leaves.at n=37A055291
- a(n) = A104908(n) - 10*A104863(n).at n=31A104909
- Numbers with no 1's in base 3 & 4 expansions.at n=34A117496
- Write 0, 1, ..., n in base 3 and add as if they were decimal numbers.at n=36A121718
- Number of 6 X 6 0..n matrices with each 2 X 2 subblock idempotent.at n=38A224668
- Number of (n+2) X (1+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.at n=23A253503
- Number of squares of all sizes in 3*n*(n+1)/2-ominoes in form of three-quarters of Aztec diamonds.at n=31A258440
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 478", based on the 5-celled von Neumann neighborhood.at n=30A272453
- Numbers k such that (28*10^k + 773)/9 is prime.at n=22A275522
- Number of compositions (ordered partitions) of n into distinct parts, the least being 7.at n=61A339170
- Numbers k such that k and 4k, taken together, contain all digits 1 though 9 at least once.at n=6A346135
- a(n) is the least integer m such that A001006(m) is divisible by prime(n)^2 or -1 if no such m exists.at n=15A354293