2485
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3456
- Proper Divisor Sum (Aliquot Sum)
- 971
- 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
- 1680
- Möbius Function
- -1
- Radical
- 2485
- 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
- yes
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 89
- 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
- no
- Odd
- yes
Appears in sequences
- Number of plane partitions (or planar partitions) of n.at n=13A000219
- Boustrophedon transform of partition numbers.at n=7A000751
- a(n) = 1000*log(n) rounded to the nearest integer.at n=11A004241
- a(n) = ceiling(1000*log(n)).at n=11A004242
- Coefficients of period polynomials.at n=18A006308
- Coordination sequence T1 for Zeolite Code ATS.at n=36A008038
- Coordination sequence T6 for Zeolite Code DDR.at n=31A008076
- a(n) = p*(p-1)/2 for p = prime(n).at n=19A008837
- Coordination sequence T3 for Zeolite Code RTE.at n=34A009892
- Second hexagonal numbers: a(n) = n*(2*n + 1).at n=35A014105
- Odd triangular numbers.at n=35A014493
- Numbers k that divide s(k), where s(1)=1, s(j)=15*s(j-1)+j.at n=25A014865
- Expansion of 1 / ((1-2*x) * (1-4*x) * (1-11*x)).at n=3A016293
- Binomial coefficients C(n,69).at n=2A017733
- Binomial coefficients C(71,n).at n=2A017787
- Pseudoprimes to base 72.at n=15A020200
- Numbers k such that the continued fraction for sqrt(k) has period 30.at n=35A020369
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric of S(n)) ], where S(n) = {3,4, ..., n+5}.at n=14A024194
- a(n) = 3rd elementary symmetric function of first n+2 positive integers congruent to 1 mod 3.at n=2A024213
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=13A025405