13545
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
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27456
- Proper Divisor Sum (Aliquot Sum)
- 13911
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 6048
- Möbius Function
- 0
- Radical
- 4515
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 182
- 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
- no
- Odd
- yes
Appears in sequences
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=29A005231
- Odd primitive abundant numbers.at n=21A006038
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 5.at n=15A038636
- Numerators of continued fraction convergents to sqrt(226).at n=2A041420
- Numbers k such that k^2 contains exactly 9 different digits.at n=15A054037
- Numbers k such that k^2 + k + 1, k^3 + k + 1 and k^4 + k + 1 are all prime.at n=38A057683
- Numbers n such that A078142(n) = A078142(n+1) = A078142(n+2), where A078142(n) is the sum of the differences of the distinct prime factors p of n and the next square larger than p.at n=9A073938
- Odd primitive numbers such that n! divided by product of factorials of all proper divisors of n is not an integer.at n=17A075460
- Numbers n such that p = n^2 + 2, p+2 and p+6 are consecutive primes.at n=23A086380
- a(n) = 3 + floor((2 + Sum_{j=1..n-1} a(j))/3).at n=29A120150
- Triangle T(n,k,p,q) = (p^n + q^n)*A001263(n, k) with p=2 and q=1, read by rows.at n=23A155537
- Triangle T(n,k,p,q) = (p^n + q^n)*A001263(n, k) with p=2 and q=1, read by rows.at n=25A155537
- Odd almost practical numbers.at n=25A174535
- Odd abundant numbers whose abundance is even.at n=28A174865
- Irregular triangle of odd primitive abundant numbers (A006038) in which row n has numbers with n distinct prime factors.at n=25A188439
- Number of distinct (unordered) pairs of partitions of a 10-element set that have Rand distance n.at n=39A192103
- 15 times triangular numbers.at n=42A194715
- Denominator of A010786(n+1) / A010786(n).at n=42A208450
- Sigma(n)-n values in A085844.at n=15A216383
- Sum of absolute values of real and imaginary parts of the coefficients in the expansion of 1 / (1 - x - 2*I*x^2), where I^2=-1.at n=16A218138