7828
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
- 12
- Divisor Sum
- 14560
- Proper Divisor Sum (Aliquot Sum)
- 6732
- 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
- 3672
- Möbius Function
- 0
- Radical
- 3914
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- Numbers k such that 111*2^k+1 is prime.at n=12A032405
- Number of ordered biquanimous partitions of 2n.at n=7A064914
- Sums of members of groups in A076063.at n=24A076066
- a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 46.at n=2A093246
- Numbers n not of the form i^2+(i+1)^2 such that there are integers a < b with a^2+(a+1)^2+...+(n-1)^2 = n^2+(n+1)^2+...+b^2.at n=18A094523
- Structured tetragonal anti-prism numbers.at n=18A100182
- Number of different values of i^2+j^2+k^2+l^2+m^2 for i,j,k,l,m in [0,n].at n=42A132432
- Start with a(1)=1; now a(n+1)=a(n)+a(k) with k=[n-n-th digit of Pi]. If k<0 or k=0, then a(k)=0.at n=33A133389
- a(n) = prime(prime(A028815(n) - 1) - 1) - 1.at n=39A141136
- Number of cribbage hands with score n.at n=20A143133
- 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, 0, 0), (0, -1, 1), (0, 1, 0), (1, 1, -1), (1, 1, 0)}.at n=7A150490
- prime(n)*( prime(n)-n ).at n=26A161522
- a(n) = (2*n^3 + 5*n^2 + 7*n)/2.at n=18A162264
- Number of binary strings of length n with no substrings equal to 0001 0111 or 1100.at n=15A164484
- Number of ways to place 8 nonattacking queens on an 8 X n board.at n=9A172449
- Number of nondecreasing arrangements of n+2 numbers in 0..6 with the last equal to 6 and each after the second equal to the sum of one or two of the preceding four.at n=33A189323
- Ordered counts of internal lattice points within primitive Pythagorean triangles (PPT).at n=41A225414
- Expansion of Product_{k>=1} (1 + x^k) / (1 - x^k)^k.at n=13A262803
- Number of ways to place m nonattacking queens on an m X n board, 1 <= m <= n (triangular array).at n=52A269133
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 371", based on the 5-celled von Neumann neighborhood.at n=47A271454