7516
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13160
- Proper Divisor Sum (Aliquot Sum)
- 5644
- 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
- 3756
- Möbius Function
- 0
- Radical
- 3758
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 88
- 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
- a(0) = 1, a(n) = 26*n^2 + 2 for n>0.at n=17A010016
- a(n) = (1/2)*s(n+3), where s = A025244.at n=10A025245
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=3A031832
- Numbers ending with '6' that are the difference of two positive cubes.at n=29A038861
- (n+4)^3 - n^3.at n=22A038866
- Numbers having four 4's in base 6.at n=24A043388
- Number of primes between consecutive partition numbers.at n=57A086609
- Sum of smallest parts of all partitions of n into odd parts.at n=53A092314
- One third of the sum of the first n primes, when an integer.at n=29A112270
- Numbers k such that 15^k + 2 is prime.at n=18A138048
- a(n) = prime(prime(prime(n) - 1) - 1) - 1, where prime(n) = n-th prime.at n=37A141208
- 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, 1), (-1, 0, 1), (0, 1, -1), (1, 0, 0), (1, 1, 0)}.at n=7A150429
- n^3 - (n+2)^2.at n=20A153258
- Numbers k such that Mordell's equation y^2 = x^3 - k has exactly 10 integral solutions.at n=17A179169
- Coefficients of Hilbert series for the suboperad of bicolored noncrossing configurations generated by a fully colored triangle and a fully uncolored triangle.at n=6A234938
- Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101.at n=5A260604
- Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101.at n=2A260607
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101.at n=30A260609
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101.at n=33A260609
- Coordination sequence for "tsi" 3D uniform tiling.at n=34A299289