2785
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3348
- Proper Divisor Sum (Aliquot Sum)
- 563
- 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
- 2224
- Möbius Function
- 1
- Radical
- 2785
- 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
- 66
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers m such that Fibonacci(m) ends with m.at n=49A000350
- Number of partitions of n into parts 5k+1 or 5k+4.at n=60A003114
- Molien series for Weyl group E_7.at n=43A008583
- Coordination sequence T3 for Zeolite Code RTE.at n=36A009892
- Coordination sequence T1 for Zeolite Code VSV.at n=34A009914
- Coordination sequence T3 for Zeolite Code ZON.at n=37A009921
- a(0) = 1, a(n) = 23*n^2 + 2 for n>0.at n=11A010013
- Expansion of g.f. 1/((1-x)*(1-4*x)*(1-12*x)).at n=3A016227
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=5A020372
- Number of distinct products i*j with 0 <= i, j <= n-th prime.at n=24A027419
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 11.at n=2A031599
- Expansion of Sum_{n>=0} (q^n / Product_{k=1..n+5} (1 - q^k)).at n=22A035301
- Composite numbers whose prime factors contain no digits other than 5 and 7.at n=12A036320
- Denominators of continued fraction convergents to sqrt(275).at n=10A041517
- Numbers whose base-14 representation has exactly 4 runs.at n=25A043665
- Numbers n such that string 3,4 occurs in the base 9 representation of n but not of n-1.at n=38A044282
- Numbers n such that string 8,5 occurs in the base 10 representation of n but not of n-1.at n=29A044417
- Numbers n such that string 3,4 occurs in the base 9 representation of n but not of n+1.at n=38A044663
- Numbers n such that string 8,5 occurs in the base 10 representation of n but not of n+1.at n=29A044798
- Numerators of convergents to the diesis, log_2(5/4).at n=7A046103