7036
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12320
- Proper Divisor Sum (Aliquot Sum)
- 5284
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3516
- Möbius Function
- 0
- Radical
- 3518
- Omega Function (Ω)
- 3
- 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
- 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 series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=24A001860
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 70 ones.at n=4A031838
- a(n) = C(n+2,3) + 2*C(n,2) + 2*(n-2).at n=31A034857
- Number of periodic palindromic structures using a maximum of four different symbols.at n=16A056505
- Even numbers not the sum of a pair of twin lucky numbers.at n=61A057702
- Numbers k such that 3*2^k + 5 is prime.at n=45A057913
- An approximation to sigma_{5/2}(n): floor( sum_{d|n} d^(5/2) ).at n=31A058272
- An approximation to sigma_{5/2}(n): round( sum_{d|n} d^(5/2) ).at n=31A058273
- Number of fusenes with n hexagons.at n=8A108070
- Number of 7-dimensional partitions of n up to conjugacy.at n=14A119342
- Ulam's spiral (NNW spoke).at n=21A143860
- Number of ways to place zero or more nonadjacent 2,0 3,1 3,2 4,1 4,3 4,4 5,2 6,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155446
- Number of permutations of 1..n containing the relative rank sequence { 52143 } at any spacing.at n=3A158435
- The magic constants of 6 X 6 magic squares composed of consecutive primes.at n=35A177434
- Number of nX4 binary arrays with no element equal to the mod 3 sum of its king-move neighbors.at n=6A183377
- T(n,k)=Number of nXk binary arrays with no element equal to the mod 3 sum of its king-move neighbors.at n=48A183380
- T(n,k)=Number of nXk binary arrays with no element equal to the mod 3 sum of its king-move neighbors.at n=51A183380
- Potential magic constants of 8 X 8 magic squares composed of consecutive primes.at n=14A189188
- Number of nX5 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nX5 array.at n=2A219575
- T(n,k) is the number of n X k arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X k array.at n=23A219578