12734
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19104
- Proper Divisor Sum (Aliquot Sum)
- 6370
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6366
- Möbius Function
- 1
- Radical
- 12734
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=28A020431
- Number of "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the face-centered cubic lattice, allowing translation and rotations of the lattice and reflections.at n=6A038173
- Positive integers such that the smallest positive real solution to x^n + x = 2*Pi*a(n) forms a monotonically increasing sequence as n grows.at n=12A080019
- Intersection of A108027, A108028, A108029 and A108030.at n=6A108109
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 1, -1), (1, 0, 0)}.at n=11A148077
- Number of n X n symmetric binary arrays with rows, considered as graycode numbers, in nondecreasing order, and no more than 3 ones in any row or column.at n=6A162058
- Number of -n..n arrays x(0..3) of 4 elements with zero sum and nonzero second differences.at n=12A200554
- Number of (n+1)X(n+1) -9..9 symmetric matrices with every 2X2 subblock having sum zero and three distinct values.at n=7A211550
- Smallest m such that A070965(m) = n.at n=41A227953
- Numbers n with nonzero digits such that n*(product of digits of n) is a palindrome.at n=34A229550
- Number of length n arrays x(i), i=1..n with x(i) in i..i+4 and no value appearing more than 2 times.at n=5A250347
- T(n,k)=Number of length n arrays x(i), i=1..n with x(i) in i..i+k and no value appearing more than 2 times.at n=41A250351
- Number of length 6 arrays x(i), i=1..6 with x(i) in i..i+n and no value appearing more than 2 times.at n=3A250355
- Numbers n such that the decimal expansions of both n and n^2 have 1 as smallest digit and 7 as largest digit.at n=32A257210
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 182", based on the 5-celled von Neumann neighborhood.at n=31A270632
- a(n) is the number of vertices formed by n-secting the angles of a heptagon.at n=35A335758
- a(n) is the start of the least run of exactly n consecutive positive integers with strictly decreasing values of A071626, or -1 if no such run exists.at n=4A357391
- Number of partitions of n with rank a multiple of 7.at n=44A363239
- Integers k such that 2^k contains all powers of 2 not exceeding k as substrings.at n=43A372680