7360
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
- 28
- Divisor Sum
- 18288
- Proper Divisor Sum (Aliquot Sum)
- 10928
- 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
- 2816
- Möbius Function
- 0
- Radical
- 230
- Omega Function (Ω)
- 8
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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
- Expansion of (x-1)*(x^2-4*x-1)/(1-2*x)^2.at n=9A003232
- Sum of next n primes.at n=13A007468
- Expansion of x/(1 - 5*x - 7*x^2).at n=6A015541
- Expansion of Product_{m>=1} (1+x^m)^10.at n=6A022575
- Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^4.at n=27A028701
- 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 41.at n=38A031539
- Every run of digits of n in base 15 has length 2.at n=37A033013
- XOR-convolution of squares A000290 with themselves.at n=22A033460
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 4 (mod 5).at n=58A035579
- a() = 1,3,... [ A037257 ], differences = 2,... [ A037258 ] and 2nd differences [ A037259 ] are disjoint and monotonic; adjoin next free number to 2nd differences unless it would produce a duplicate in which case ignore.at n=30A037257
- Positive integers with more base-15 runs of even length than odd.at n=39A044841
- Numbers whose base-4 representation contains exactly four 0's and two 3's.at n=18A045083
- A convolution triangle of numbers obtained from A025749.at n=24A049213
- Numbers k such that 267*2^k-1 is prime.at n=34A050892
- Numbers which can be expressed as the product of a number and its reversal in at least two different ways.at n=3A066531
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an isosceles integer triangle with integer area.at n=23A070145
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an acute integer triangle with integer area.at n=22A070146
- Structured rhombic triacontahedral numbers (vertex structure 11).at n=9A100164
- a(n) = (15*n^4 + 22*n^3 + 45*n^2 + 14*n) / 24.at n=10A101166
- Triangle T(n,k) of elements of n-th Weyl group of type B whose reduced word uses n-k generators.at n=39A109281