12742
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20016
- Proper Divisor Sum (Aliquot Sum)
- 7274
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6072
- Möbius Function
- -1
- Radical
- 12742
- 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
- no
- 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
- 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
- Positive numbers whose product of digits is 7 times their sum.at n=35A062384
- a(n) = 2*binomial(2*n+1,n+1) - 2^n.at n=7A085781
- Triangle T(n,k), read by rows, formed by setting all entries in the zeroth column ((n,0) entries) and the main diagonal ((n,n) entries) to powers of 2 with all other entries formed by the recursion T(n,k) = T(n-1,k) + T(n,k-1).at n=50A096466
- Those positive integers n where, when written in binary, there are exactly k number of runs (of either 0's or 1's) each of exactly k length, for all k where 1<=k<=m, for some positive integer m.at n=21A175356
- Parameters n for which the elliptic curve y^2=x^3+n has rank 4.at n=14A179124
- Wiener index of the n-pan graph.at n=45A180861
- Number of partitions of n having no parts with multiplicity 5.at n=35A184640
- Number of (w,x,y,z) with all terms in {1,...,n} and w*x-y*z<n.at n=12A212108
- T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=22A223000
- Number of 2Xn 0..2 arrays with no more than floor(2Xn/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=5A223001
- Primitive numbers in A229305.at n=44A229309
- Primitive numbers in A229306.at n=31A229310
- Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=10A240322
- Positive integers m such that m, m + 1 and m + 2 are a sum of a positive square and a positive cube.at n=30A295787
- Numbers k such that k, k+1, k+2 and k+3 are all sums of a positive square and a positive cube.at n=3A329807
- Irregular triangle read by rows: T(n,k) (0 <= k <= n^2) are coefficients of cluster density function for site percolation on an n X n 2D nnsquare lattice with open boundary conditions.at n=55A365947