2872
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5400
- Proper Divisor Sum (Aliquot Sum)
- 2528
- 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
- 1432
- Möbius Function
- 0
- Radical
- 718
- Omega Function (Ω)
- 4
- 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
- 53
- 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
- Erroneous version of A032522.at n=15A000017
- Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) for n >= 4 with a(0) = a(1) = a(2) = 0 and a(3) = 1.at n=16A000078
- a(n) = n*(5*n^2 - 2)/3.at n=12A004466
- Oscillates under partition transform.at n=46A007212
- Coordination sequence T3 for Zeolite Code RSN.at n=35A009887
- Coordination sequence T1 for Zeolite Code RTH.at n=37A009893
- Coordination sequence for alpha-Mn, Position Mn4.at n=14A009953
- a(n) = Sum_{j=1..n} j*prime(j).at n=13A014285
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=16A020379
- Fibonacci sequence beginning 1, 7.at n=14A022097
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = (Fibonacci numbers).at n=16A024367
- Sum_{ k=1 ... floor(n/2) } A023532(k)*Fib(n-k).at n=16A024371
- Erroneous version of A024371.at n=15A025067
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023532, t = (F(2), F(3), F(4), ...).at n=14A025071
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=35A026062
- a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2,3; |s(i) - s(i-1)| <= 1 for i >= 4, s(n) = 4. Also a(n) = T(n,n-4), where T is the array defined in A026082.at n=7A026087
- a(n) = diagonal sum of left-justified array T given by A027052.at n=23A027069
- Sequence satisfies T^2(a)=a, where T is defined below.at n=46A027595
- Expansion of q^(5/24) / (eta(q) * eta(q^2)^2) in powers of q.at n=16A029862
- Positions of records in A030707.at n=47A030712