12704
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 25074
- Proper Divisor Sum (Aliquot Sum)
- 12370
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- 0
- Radical
- 794
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(7).at n=30A022771
- 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 55.at n=36A031553
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 4).at n=45A035541
- Numbers k such that k^128 + 1 is prime.at n=33A056994
- Numbers n such that p1=2n+3, p2=4n+5, p3=6n+7 and p4=8n+9 are all prime.at n=10A105653
- Numbers k such that p1=2k+3, p2=4k+5, p3=6k+7, p4=8k+9 and p5=10k+11 are all prime.at n=1A105654
- Numbers k such that p1=2k+3, p2=4k+5, p3=6k+7, p4=8k+9, p5=10k+11 and p6=12k+13 are all prime.at n=0A105655
- Even elements of A085493.at n=27A106431
- Take an n X n square grid of points in the plane; a(n) = number of non-isomorphic ways to divide the points into two sets using a straight line.at n=23A116696
- Number of n X 2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,4,0,0,1 for x=0,1,2,3,4.at n=8A197092
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,4,0,0,1 for x=0,1,2,3,4.at n=46A197098
- Composites whose prime factorization in base 3 is an anagram of the number in base 3.at n=27A260047
- Integers k such that (13*2^k)^8 + 1 is prime.at n=15A319217
- Number of length-n binary words with no even palindrome of length > 6 and no odd palindrome of length > 3.at n=32A330131
- a(n) = sum of the 2^(n-1) even positive integers having bit length 2*n and in which, when written in binary, each run of 0's is of exactly the same length as the run of 1's immediately before it.at n=4A386705