13541
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14784
- Proper Divisor Sum (Aliquot Sum)
- 1243
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12300
- Möbius Function
- 1
- Radical
- 13541
- 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
- 182
- 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
- a(n) = Sum_{k=0..n} T(n,k) * T(n,n+k), with T given by A027052.at n=8A027078
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24.at n=45A051965
- Expansion of (1-x)^2/(1-3*x+2*x^3-x^4).at n=10A052946
- a(n) is the unique positive integer m which has a self-conjugate partition whose parts are the first n primes.at n=42A067773
- Nonprime numbers with all divisors starting and ending with digit 1.at n=19A208261
- Number of partitions of n containing no part i of multiplicity i-1.at n=37A277102
- Expansion of e.g.f. -log(1 + log(1 - x))/(1 + log(1 - x)).at n=6A302548
- Composite numbers k with its divisors having the property that the last digit of every divisor is the same as the first digit of the next divisor.at n=22A307858
- Sum of largest emergent parts of the partitions of n.at n=30A330242
- Positive integers which can be written in two bases smaller than 10 as mutually-reversed strings of digit(s).at n=26A336733
- Irregular triangle where the n-th row list the positive integers which can be written in two bases smaller than n as mutually-reversed strings of digit(s), for n>=4.at n=53A336768
- Triangle read by rows: Riordan array (1/(1 - x), (1 + x)/(1 - x - x^2)).at n=49A371300