9778
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14670
- Proper Divisor Sum (Aliquot Sum)
- 4892
- 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
- 4888
- Möbius Function
- 1
- Radical
- 9778
- Omega Function (Ω)
- 2
- 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
- 47
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Denominators of continued fraction convergents to sqrt(521).at n=11A041997
- Numerators of continued fraction convergents to sqrt(566).at n=8A042084
- Sum of remainders when n-th Fibonacci number is divided by all smaller Fibonacci numbers > 1.at n=20A072523
- Number of partitions of n having exactly 1 part that appears exactly once.at n=42A116596
- Number of partitions of n into "number of partitions of n into partition numbers" numbers.at n=45A130898
- Number of (n+3) X 8 0..2 matrices with each 4 X 4 subblock idempotent.at n=7A224725
- Number of distinct lines passing through 3 or more points in an n X n grid.at n=22A225606
- Number of compositions of n into distinct parts with exactly one descent.at n=30A241720
- A specially constructed B_2 sequence with sum of reciprocals greater than that of the Mian-Chowla sequence A005282.at n=66A259964
- Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507.at n=35A262508
- T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to at least one diagonal or antidiagonal neighbor and the top left element equal to 0.at n=47A268142
- Number of 3 X n arrays containing n copies of 0..3-1 with every element equal to at least one diagonal or antidiagonal neighbor and the top left element equal to 0.at n=7A268143
- First differences of A293230: how many more alive nodes there are in generation n+1 than in generation n in the binary tree of persistently squarefree numbers.at n=33A293440
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2) + n, where a(0) = 1, a(1) = 2, b(0) = 3.at n=15A294537
- Number of (not necessarily maximal) cliques in the n X n antelope graph.at n=46A308600
- Number of integer partitions of n whose omega-sequence has repeated parts.at n=33A325285
- Lexicographically earliest sequence of distinct terms > 0 such that the terms' cumulative sum and the sequence itself have the same digit succession.at n=65A332803
- a(n) is the number of domino towers of height n consisting of 2*n bricks, a(n) = A333650(2*n, n).at n=5A339346