13000
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 32760
- Proper Divisor Sum (Aliquot Sum)
- 19760
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 130
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 138
- 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
- Cubes written in base 5.at n=9A004635
- Positive numbers k such that k and 2*k are anagrams in base 5 (written in base 5).at n=7A023061
- dot product (n,n-1,...2,1).(3,4,...,n,1,2).at n=37A026054
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 57.at n=24A031555
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 57.at n=1A031735
- Positive numbers having the same set of digits in base 8 and base 10.at n=40A037442
- Powers of ten written in base 5.at n=3A055476
- Number of 4-block ordered tricoverings of an unlabeled n-set.at n=38A060488
- Product of all distinct nonzero numbers that can be formed from the digits of n.at n=24A061497
- Multiples of 4 whose digits add to 4.at n=18A063997
- Numbers which can be expressed as the product of a number and its reversal in at least two different ways.at n=8A066531
- a(1) = 1; string of digits of a(n)^2 is a substring of the string of digits of a(n+1)^2.at n=5A067634
- Expansion of (1-x)^(-1)/(1 - 2*x - x^2 + x^3).at n=11A077850
- Full Łukasiewicz word for each rooted plane tree (interpretation e in Stanley's exercise 19) encoded by A014486 (or A063171).at n=17A079436
- a(n) = 8*a(n-1) - 16*a(n-2) + 12*a(n-4) with a(0)=0, a(1)=1, a(2)=4, a(3)=22.at n=7A084157
- Long leg of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=19A089548
- Erroneous version of A052218.at n=7A094628
- Numbers n that are the hypotenuse of exactly 10 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 10 ways.at n=25A097225
- Numbers whose set of base 5 digits is {0,4}.at n=40A097251
- Keep only the middle digit of each integer and concatenate them. The result is the concatenation of all integers of the sequence.at n=39A106003