13471
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14200
- Proper Divisor Sum (Aliquot Sum)
- 729
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12744
- Möbius Function
- 1
- Radical
- 13471
- 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
- 89
- 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
- Numerators of continued fraction convergents to sqrt(825).at n=11A042592
- Nonprime numbers k such that sum of aliquot divisors of k is a cube.at n=34A048698
- Smallest composite that when added to sum of prime factors reaches a prime after n iterations.at n=37A050710
- Truncated triangular pyramid numbers: a(n) = (n-5)*(n^2 + 8*n - 66)/6.at n=37A051939
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an obtuse isosceles integer triangle with prime side lengths.at n=22A070135
- Expansion of c(q) * c(q^6) / c(q^2)^2 in powers of q where c() is a cubic AGM theta function.at n=49A122830
- Expansion of (chi(-q^3)/ chi^3(-q) -1)/3 in powers of q where chi() is a Ramanujan theta function.at n=24A128129
- Expansion of q * psi(-q^9) / psi(-q) in powers of q where psi() is a Ramanujan theta function.at n=49A132975
- Expansion of q^(-2/3) * (psi(-q^3) / psi(-q)^3) * (c(q^2) / 3) in powers of q where psi() is a Ramanujan theta function and c() is a cubic AGM theta function.at n=16A132978
- a(n) = 7^n - 5^n - 3^n + 2^n. Constants are the prime numbers in decreasing order.at n=5A135162
- Expansion of c(q^3) / (c(q^3) + c(q^6)) where c() is a cubic AGM function.at n=50A145977
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (0, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=8A150003
- Expansion of q * f(q^9)^3 * phi(q) / (f(q^3) * phi(q^3)^3) in powers of q where f(), phi() are Ramanujan theta functions.at n=24A164269
- Expansion of f(x^3)^3 * phi(x^3) / (f(x) * phi(x)^3) in powers of x where f(), phi() are Ramanujan theta functions.at n=8A164270
- Expansion of 1 / (1 - x - x^2 + x^3 - x^5 + x^15 - x^17 - x^18 + x^19 + x^20).at n=27A174650
- Expansion of phi(q^9) / (psi(-q) * chi(q^3)) in powers of q where phi(), psi(), chi() are Ramanujan theta functions.at n=50A213267
- a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 1, a(1) = a(2) = 4.at n=15A214826
- Number of (n+1)X(2+1) 0..3 arrays x(i,j) with row sums sum{j^2*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing.at n=1A232707
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{j^2*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing.at n=4A232708
- Number of partitions of n such that the least part is less than its multiplicity.at n=36A240175