2449
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2560
- Proper Divisor Sum (Aliquot Sum)
- 111
- 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
- 2340
- Möbius Function
- 1
- Radical
- 2449
- 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
- 133
- Smith Number
- no
- 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
- a(n) = 8*a(n-2) - 9*a(n-4).at n=10A002536
- Numbers that are the sum of 9 positive 7th powers.at n=12A003376
- Coordination sequence T2 for Zeolite Code DDR.at n=31A008072
- Coordination sequence T1 for Zeolite Code EAB.at n=36A008082
- Coordination sequence T1 for Zeolite Code MEI.at n=36A008146
- Molien series for A_7.at n=32A008630
- Numbers k such that phi(k + 11) | sigma(k).at n=48A015831
- Pseudoprimes to base 56.at n=24A020184
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=4A020403
- n-th composite is sum of first k composites for some k.at n=49A020642
- a(n) = [ Sum{(log(j)-log(i))^3} ], 2 <= i < j <= n.at n=45A025207
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=5A027662
- a(n) = n + (n+1)^2.at n=48A028387
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=16A031794
- Numbers k such that 155*2^k+1 is prime.at n=16A032454
- Multiplicity of highest weight (or singular) vectors associated with character chi_146 of Monster module.at n=37A034534
- Number of partitions of n into parts not of the form 21k, 21k+9 or 21k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=26A035987
- Coordination sequence T15 for Zeolite Code STT.at n=33A038427
- Number of partitions satisfying cn(0,5) + cn(1,5) + cn(4,5) <= cn(2,5) + cn(3,5).at n=30A039878
- Numerators of continued fraction convergents to sqrt(34).at n=7A041056