7032
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 17640
- Proper Divisor Sum (Aliquot Sum)
- 10608
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2336
- Möbius Function
- 0
- Radical
- 1758
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 150
- 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
- Number of ternary squarefree words of length n.at n=24A006156
- If a, b in sequence, so is ab+8.at n=29A009331
- Square of the lower triangular normalized partition matrix.at n=23A027516
- Third column of A027516.at n=4A027530
- floor[2^n/Fibonacci(n)].at n=37A057861
- Number of vertically indecomposable distributive lattices on n nodes.at n=23A072361
- Sum of all matrix elements M(i,j) = (i^2)/(i+j).at n=3A098606
- XOR difference triangle of the powers of 3, read by rows.at n=38A099887
- a(n) = 2*Fibonacci(n) + 8*Fibonacci(n-5).at n=13A101156
- Number of base 12 n-digit numbers with adjacent digits differing by one or less.at n=7A126366
- Expansion of x/((1-x)^2(1+x-x^3-x^4-x^5-x^6-x^7+x^9+x^10)).at n=42A143611
- Positions of hexagonal pyramidal numbers in the EKG sequence.at n=21A144080
- G.f.: Product_{n>0} ((1+x^n)/(1-x^n))^n.at n=11A156616
- a(n) = 49*n^2 - 2*n.at n=11A157362
- Number of permutations of 0..(n-1) representable as 1,3,3,1-weighted consecutive sums of 4 adjacent elements of a sequence of n+3 nonnegative integers.at n=14A180214
- Number of n X 7 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.at n=10A188864
- Dispersion of A016873, (5k+2), by antidiagonals.at n=22A191704
- Monotonic ordering of set S generated by these rules: if x and y are in S then 2xy-x-y is in S, and 3 is in S.at n=13A192525
- Numbers n such that 2^n + 41*2^floor((n+1)/2) - 1 is prime.at n=27A206554
- Irregular triangle read by rows: T(n,k) is the number of permutations in S_n having k stretching pairs.at n=53A216120