13547
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15360
- Proper Divisor Sum (Aliquot Sum)
- 1813
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11880
- Möbius Function
- -1
- Radical
- 13547
- 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
- no
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.at n=26A004968
- Differences between numbers k such that k and k+1 have the same sum of divisors.at n=29A054001
- Integers k > 10577 such that the 'Reverse and Add!' trajectory of k joins the trajectory of 10577.at n=2A063434
- Numbers k such that 10*k-1, 10*k-3, 10*k-7 and 10*k-9 are all prime.at n=42A064975
- Positions of 4's in A038800 with offset 1.at n=43A115095
- Products of three consecutive happy primes A035497.at n=2A154716
- Products of three distinct happy primes A035497.at n=17A154717
- a(n) = (2*n^3 + 5*n^2 + 5*n)/2.at n=22A162267
- a(n) = n*(14*n + 3).at n=31A195025
- Expansion of g.f. x*(1+x+x^2)/(1-x^3-x^5).at n=56A226503
- The successive approximations up to 5^n for 5-adic integer 7^(1/5).at n=6A322157
- Number of integer partitions of n with exactly two distinct multiplicities.at n=41A325243
- G.f.: Sum_{n>=0} x^n * (1 + x^n)^n / (1 - x*(1 + x^n))^(n+1).at n=12A326599
- Result of inserting the integers n = 0, 1, 2, ... in this order into an initially empty list, where n is inserted between the pair of consecutive elements with sum equal to n and minimal absolute difference, or at the end of the list if no such pair exists.at n=32A360447