13478
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21168
- Proper Divisor Sum (Aliquot Sum)
- 7690
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6424
- Möbius Function
- -1
- Radical
- 13478
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 182
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence for Ni2In, Position Ni2.at n=35A009942
- Coordination sequence for alpha-Mn, Position Mn4.at n=30A009953
- Numbers k such that k^128 + 1 is prime.at n=36A056994
- Number of ways a loop can cross three roads meeting in a Y n times. The loop must touch the southwest sector.at n=12A078104
- Indices of primes in sequence defined by A(0) = 91, A(n) = 10*A(n-1) + 41 for n > 0.at n=17A101009
- Diagonal above central terms of pendular trinomial triangle A122445, ignoring leading zeros.at n=7A122450
- Integers 1 through n written in primorial base, summed as if decimal.at n=34A122613
- Row sums from A144562.at n=22A144640
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,2,0,2,0,2 for x=0,1,2,3,4,5,6.at n=4A198054
- Number of 3-element subsets of {1,...,n} whose sum has more than 2 divisors.at n=47A241563
- Partial sums of A255283.at n=43A255428
- Number of n X n 0..1 arrays with every element equal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.at n=15A297882
- Number of integer partitions of n with a difference < -1 and a conjugate difference < -1.at n=35A350839
- a(n)/3^(n-1) is the expected win if one of three baskets is chosen randomly and the player optimally chooses the coins with values from 1 to n (see Comments for details).at n=6A391792