7792
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 15128
- Proper Divisor Sum (Aliquot Sum)
- 7336
- 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
- 3888
- Möbius Function
- 0
- Radical
- 974
- Omega Function (Ω)
- 5
- 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
- 145
- 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 (Product_{j>=1} (1-(-x)^j) - 1)^8 in powers of x.at n=29A001486
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=34A020395
- a(n) = [ Sum{(sqrt(j+1)-sqrt(i+1))^2} ], 1 <= i < j <= n.at n=52A025222
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=20A063370
- Diagonal sums of the number triangle A098505.at n=25A098507
- Numbers of the form a^5 + b^4 with a, b > 0.at n=45A100294
- Number of equilateral triangles with coordinates (x,y,z) in the set {0, 1,...,n}.at n=5A102698
- Numbers whose square can be expressed as the signed sum of a fifth power and a cube: z^2 = x^5 + y^3 with gcd(x,y,z)=1.at n=4A103156
- Maximum number of regions defined by n zigzag-lines in the plane when a zigzag-line is defined as consisting of two parallel infinite half-lines joined by a straight line segment.at n=42A117625
- a(n) = 5 + floor((1 + Sum_{j=1..n-1} a(j)) / 2).at n=18A120135
- Numbers with composite sum of digits and prime sum of cubes of digits.at n=42A121642
- Number of partitions of n into "number of partitions of n into 'number of partitions of n into partition numbers' numbers" numbers.at n=48A130899
- 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, -1, 1), (0, 1, 0), (1, 1, -1), (1, 1, 1)}.at n=7A150500
- Denominators of the convergents of the continued fraction for sqrt{1 - 1/sqrt{2}}, the abscissa of the point of bisection of the arc of the unit lemniscate (x^2 + y^2)^2 = x^2 - y^2 in the first quadrant.at n=12A154742
- 1/120 the number of (n+1)X(n+1) 0..4 arrays with every 2X2 subblock containing four distinct values.at n=2A183614
- 1/120 the number of (n+1) X 4 0..4 arrays with every 2 X 2 subblock containing four distinct values.at n=2A183616
- T(n,k)=1/120 the number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock containing four distinct values.at n=12A183622
- Number of strings of numbers x(i=1..n) in 0..5 with sum i^3*x(i)^2 equal to n^3*25.at n=10A184299
- Minimum even value unattainable as the sum of 5 attained values of i*(i-1) with i in 0..n.at n=42A225291
- Numbers of the form 4^j + 6^k, for j and k >= 0.at n=37A226813