2766
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5544
- Proper Divisor Sum (Aliquot Sum)
- 2778
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 920
- Möbius Function
- -1
- Radical
- 2766
- Omega Function (Ω)
- 3
- 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
- 97
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=43A000232
- a(n) is the solution to the postage stamp problem with n denominations and 4 stamps.at n=18A001214
- a(n) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7.at n=42A005710
- Coordination sequence T7 for Zeolite Code DDR.at n=33A008077
- Coordination sequence T2 for Zeolite Code GOO.at n=36A008112
- Number of ordered quadruples of integers from [ 1..n ] with no global factor.at n=14A015634
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among pairs.at n=23A015663
- Expansion of 1/(1 - x^8 - x^9 - ...).at n=50A017902
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=14A020379
- Least k such that first k terms of A022300 contain n more 1's than 2's.at n=15A022302
- a(n) is the least k > 0 such that k and 3k are anagrams in base n (written in base 10).at n=9A023095
- Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed).at n=33A023108
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=25A023177
- Trajectory of 1 under map n->35n+1 if n odd, n->n/2 if n even.at n=7A033973
- Position of first term > 2 in n-th row of Gilbreath array shown in A036262.at n=45A036277
- Sets a record for the number of positive integers which, when added to the number of their divisors, gives n.at n=5A036432
- Coordination sequence T2 for Zeolite Code AWO.at n=36A038407
- Coordination sequence T3 for Zeolite Code ESV.at n=35A038412
- Numerators of continued fraction convergents to sqrt(750).at n=7A042444
- Denominators of continued fraction convergents to sqrt(772).at n=10A042489