2378
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3780
- Proper Divisor Sum (Aliquot Sum)
- 1402
- 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
- 1120
- Möbius Function
- -1
- Radical
- 2378
- 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
- yes
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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
- yes
- Odd
- no
Appears in sequences
- Pell numbers: a(0) = 0, a(1) = 1; for n > 1, a(n) = 2*a(n-1) + a(n-2).at n=10A000129
- a(n) = 6*a(n-1) - a(n-2) for n > 1, a(0)=0 and a(1)=2.at n=5A001542
- Interleave denominators (A000129) and numerators (A001333) of convergents to sqrt(2).at n=20A002965
- Coordination sequence T1 for Zeolite Code AFR.at n=37A008019
- Coordination sequence T1 for Zeolite Code GIS.at n=36A008266
- Numbers k such that the continued fraction for sqrt(k) has period 5.at n=47A010337
- Numbers whose base-3 representation is the juxtaposition of two identical strings.at n=28A020331
- Numbers whose base-9 representation is the juxtaposition of two identical strings.at n=28A020337
- a(n) = 10th Fibonacci polynomial evaluated at 2^n.at n=1A020536
- Coordination sequence for root lattice B_3.at n=11A022145
- Expansion of Product_{m>=1} (1 + m*q^m)^-2.at n=16A022694
- Convolution of A001950 and A014306.at n=45A023669
- a(n) = [ n/{n*sqrt(2)} ], where {x} := x - [ x ].at n=57A024538
- a(n) = [ n/{n*sqrt(2)} ], where {x} := x - [ x ].at n=28A024538
- A B_2 sequence: a(n) is the least value such that sequence increases and pairwise sums of elements are all distinct.at n=37A025582
- Coordination sequence T3 for Zeolite Code CGS.at n=36A027367
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 3.at n=31A031416
- Numbers whose set of base-9 digits is {2,3}.at n=24A032809
- Coordination sequence T3 for Zeolite Code SBS.at n=38A033610
- Number of partitions in parts not of the form 17k, 17k+3 or 17k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=29A035964