9777
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13040
- Proper Divisor Sum (Aliquot Sum)
- 3263
- 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
- 6516
- Möbius Function
- 1
- Radical
- 9777
- 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
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Number of graphs with n nodes, n+2 edges and no isolated vertices.at n=6A006651
- Oscillates under partition transform.at n=50A007210
- Numbers k such that the continued fraction for sqrt(k) has period 82.at n=26A020421
- Let c(k) denote the k-th composite number and p(k) the k-th prime number; then a(n) = Sum_{i=n*(n-1)/2+1 .. n*(n+1)/2} c(i) - Sum_{i=1..n} p(i).at n=25A024850
- Numbers having three 7's in base 10.at n=35A043519
- Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.at n=28A063058
- Near-repdigit semiprimes with 7 as repeated digit.at n=23A105988
- Number of partitions of n having no parts with multiplicity 3.at n=35A118807
- Numbers k such that k and k^2 use only the digits 2, 5, 7, 8 and 9.at n=7A137116
- Number of slanted 2 X n (i=1..2) X (j=i..n+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 3 neighbors with the same value.at n=12A165394
- Composite numbers and 1 which yield a prime whenever a 7 is inserted anywhere in them, including at the beginning or end.at n=33A216168
- An avoidance sequence for a pair of tree patterns that is not the avoidance sequence for any set of permutations.at n=44A221720
- Number of ON cells at n-th stage in simple 2-dimensional cellular automaton (see Comments lines for definition).at n=54A256530
- Numbers k such that 16*10^k + 1 is prime.at n=27A273002
- Numbers with digits 7 and 9 only.at n=22A285011
- Numbers n such that there are precisely 2 groups of orders n, n + 1 and n + 2.at n=38A296022
- Numbers k such that 393*2^k+1 is prime.at n=45A323041
- Number of refinement sequences n -> ... -> {1}^n, where in each step every single part of a nonempty selection of parts is replaced by a partition of itself into two smaller parts (in weakly decreasing order).at n=8A327699
- Total number of left-to-right maxima in Dyck paths of semilength n.at n=9A346157
- Indices of the primes of |A007442|.at n=19A359629