7780
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 16380
- Proper Divisor Sum (Aliquot Sum)
- 8600
- 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
- 3104
- Möbius Function
- 0
- Radical
- 3890
- 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
- 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
- sec(arcsin(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+107/4!*x^4-490/5!*x^5...at n=6A012909
- Number of 3's in n-th term of A022482.at n=35A022486
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=33A026067
- Numbers having four 0's in base 6.at n=8A043372
- Numbers k such that k*2^k - k - 1 is prime.at n=19A046843
- Numbers k such that 271*2^k + 1 is prime.at n=3A053352
- Difference between A007678(2n)/(2n) and (n-1)^2.at n=30A085611
- Numbers n such that 9*10^n + 3*R_n + 4 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=24A103096
- Number of positive integers <= 10^n that are divisible by no prime exceeding 5.at n=16A106598
- a(n) = Sum of all numbers of divisors of all numbers < (n+1)^2.at n=31A168011
- Partial sums of A000372.at n=5A174537
- Number of 4 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=21A188555
- 1-Euler triangle.at n=38A188587
- 1-Euler triangle.at n=42A188587
- Number of rhombuses on a (n+1)X7 grid.at n=41A190095
- Number of nX2 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors).at n=4A208347
- Number of nX5 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors).at n=1A208350
- T(n,k) is the number of n X k 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors).at n=16A208353
- T(n,k) is the number of n X k 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors).at n=19A208353
- Least number having n orderless representations as p^2 + q^2 + r^2 + s^2, where p, q, r, and s are primes.at n=29A214513