2440
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5580
- Proper Divisor Sum (Aliquot Sum)
- 3140
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 960
- Möbius Function
- 0
- Radical
- 610
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 40
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Glaisher's function V(n).at n=14A002611
- Coordination sequence T1 for Zeolite Code AFS.at n=38A008023
- Coordination sequence T1 for Zeolite Code BPH.at n=38A008055
- Coordination sequence T3 for Zeolite Code DAC.at n=31A008069
- Coordination sequence T2 for Zeolite Code ERI.at n=36A008094
- Coordination sequence T2 for Zeolite Code VFI.at n=38A008246
- Aliquot sequence starting at 180.at n=34A008891
- Fibonacci sequence beginning 0, 4.at n=15A022087
- a(n) = n*(19*n + 1)/2.at n=16A022277
- Number of 2's in n-th term of A007651.at n=31A022467
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 23.at n=19A031521
- Numbers k such that 235*2^k+1 is prime.at n=21A032494
- Numbers whose set of base-9 digits is {1,3}.at n=26A032916
- Every run of digits of n in base 9 has length 2.at n=25A033007
- Numbers whose base-9 expansion has no run of digits with length < 2.at n=35A033022
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=20A033580
- First differences of A035406.at n=52A035416
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+7 or 20k-7. Also number of partitions in which no odd part is repeated, with at most 3 parts of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=38A036027
- Sums of 4 distinct powers of 3.at n=46A038466
- Numbers n such that string 1,0 occurs in the base 8 representation of n but not of n-1.at n=37A044195