4984
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 5816
- 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
- 2112
- Möbius Function
- 0
- Radical
- 1246
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 134
- 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
- Coordination sequence T3 for Zeolite Code NES.at n=45A008207
- a(n) = floor( n*(n-1)*(n-2)/11 ).at n=39A011893
- Convolution of (F(2), F(3), F(4), ...) and primes.at n=12A023657
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (1, p(1), p(2), ...).at n=16A024470
- Numbers whose base-5 representation contains exactly two 1's and three 4's.at n=28A045258
- Triangle of rooted planar maps, read by rows.at n=47A046652
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A048149.at n=39A049713
- Composite numbers k such that sigma(k + 6!) = sigma(k + 720) = sigma(k) + 720.at n=42A054984
- Erroneous version of A000084.at n=9A057734
- a(n) = (9*n^2 + 5*n + 2)/2.at n=33A064225
- Convolution of A073145 with A056594.at n=26A075419
- Convolution of sigma(n) with phi(n).at n=30A086733
- Column 3 of triangle A091602.at n=36A091606
- Triangle read by rows: T(n,k) is the number of nonseparable planar maps with 2*n+1 edges and a fixed outer face of 2*k edges which are invariant under a rotation of a 1/2 turn.at n=52A091665
- Triangular matrix T, read by rows, where row n equals row (n-1) of T^(n-1) after appending '1' for the main diagonal.at n=39A101479
- Triangle read by rows: T(n,k) is the number of Schroeder paths of length 2n having trapezoid weight k.at n=38A104552
- Triangular matrix T, read by rows, where row n of T equals row (n-1) of T^(n+1) with an appended '1'.at n=22A121412
- Column 1 of triangle A121412, in which row n of T equals row (n-1) of T^(n+1) with an appended '1'.at n=5A121413
- Rectangular table, read by antidiagonals, where row n is equal to column 1 of matrix power A121412^(n+1) for n>=0.at n=20A121426
- Number of subpartitions of partition P=[0,0,1,1,1,2,2,2,2,3,3,3,3,3,4,...] (A052146).at n=20A121431