2409
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3552
- Proper Divisor Sum (Aliquot Sum)
- 1143
- 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
- 1440
- Möbius Function
- -1
- Radical
- 2409
- 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
- 120
- Smith Number
- yes
- 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
- Pseudoprimes to base 10.at n=13A005939
- Coordination sequence T12 for Zeolite Code MFI.at n=31A008164
- Crystal ball sequence for planar net 4.8.8.at n=42A008577
- Coordination sequence T3 for Zeolite Code RSN.at n=32A009887
- Coordination sequence T1 for Zeolite Code RTH.at n=34A009893
- Pseudoprimes to base 100.at n=21A020228
- Least m such that if r and s in {1/2, 1/5, 1/8,..., 1/(3n-1)}, satisfy r < s, then r < k/m < s for some integer k.at n=32A024823
- a(n) = Sum_{ d|n } sigma(n/d)*d^4.at n=6A027848
- Divisors of 99999999.at n=18A027890
- 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 32.at n=14A031530
- Sums of distinct powers of 7.at n=19A033044
- Number of partitions in parts not of the form 13k, 13k+3 or 13k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=30A035951
- Numbers n such that digit sum of n equals digit sum of 'juxtaposition' and 'sum' of its prime factors (counted with multiplicity).at n=45A036921
- Odd composite numbers n such that the digit sum of n equals digit sum of sum of its prime factors (counted with multiplicity).at n=32A036923
- Digit sum of composite odd number equals digit sum of juxtaposition of its prime factors (counted with multiplicity).at n=41A036925
- Digit sum of 'odd' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=19A036927
- Positive numbers having the same set of digits in base 2 and base 7.at n=14A037412
- Sums of 3 distinct powers of 7.at n=4A038482
- Numbers whose base-7 representation contains exactly three 1's.at n=24A043399
- Numbers k such that the string 6,6 occurs in the base 9 representation of k but not of k-1.at n=29A044311