13482
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 33696
- Proper Divisor Sum (Aliquot Sum)
- 20214
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3816
- Möbius Function
- 0
- Radical
- 4494
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 45
- 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
- Hexagonal pyramidal numbers, or greengrocer's numbers.at n=27A002412
- Even hexagonal pyramidal numbers.at n=12A015226
- Decimal part of cube root of a(n) starts with 8: first term of runs.at n=22A034134
- Numbers n such that 243*2^n-1 is prime.at n=40A050880
- A hierarchical sequence (S(W3{2,2}cc) - see A059126).at n=7A059138
- Expansion of Product_{k>=1} 1/(1+2*x^k).at n=14A071109
- Non-balanced numbers in A015771.at n=24A078549
- Diagonal sums of number array A082046.at n=13A082047
- Hyperbinomial transform of A089467 and also the 2nd hyperbinomial transform of A089466.at n=5A089468
- Fifth in an infinite set of generalized Pascal's triangles, with trigonometric properties.at n=33A125078
- Triangle read by rows: T(n,k) is the number of paths of length n with steps U=(1,1), D=(1,-1) and H=(1,0), starting at (0,0), staying weakly above the x-axis (i.e., left factors of Motzkin paths) and having k peaks (i.e., UDs), 0 <= k <= floor(n/2).at n=38A132893
- Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c^2+d^2)/2)).at n=39A134602
- 7 times pentagonal numbers: a(n) = 7*n*(3*n-1)/2.at n=36A152744
- Triangle related to the o.g.f.s. of the right hand columns of A163932 (E(x, m=3, n)).at n=18A163938
- Number of 12-core partitions of n.at n=52A192061
- [s(k)-s(j)]/9, where the pairs (k,j) are given by A205872 and A205873, and s(k) denotes the (k+1)-st Fibonacci number.at n=28A205875
- Number of distinct regular languages over 4-ary alphabet, whose minimum regular expression has ordinary length n.at n=5A211953
- Number of primes up to 10^n that are the sum of six consecutive squares of nonnegative numbers.at n=10A218212
- Triangle read by rows: T(n,k) is the number of descent sequences of length n with exactly k-1 descents, n>=1, 1<=k<=n.at n=60A225624
- Number of representations of 0 as a sum of numbers d*k with d in {-1,1} and k in {1,2,...,n}, where the sum of the numbers k is 2n.at n=17A236429