17544
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 47520
- Proper Divisor Sum (Aliquot Sum)
- 29976
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5376
- Möbius Function
- 0
- Radical
- 4386
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 141
- 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
- Theta series of laminated lattice LAMBDA_12^{min}.at n=4A006912
- Coordination sequence for MgNi2, Position Ni1.at n=33A009933
- a(n) = n*(19*n - 1)/2.at n=43A022276
- a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).at n=38A026060
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,2.at n=5A037500
- Expansion of (1 + 4*x + 14*x^2 + 34*x^3 + 63*x^4 + 80*x^5 + 87*x^6 + 68*x^7 + 42*x^8 + 20*x^9 + 7*x^10) / ((1 - x)*(1 - x^2)^2*(1 - x^3)^2*(1 - x^4)).at n=13A055384
- Product of all distinct nonzero numbers that can be formed from the digits of n.at n=33A061497
- Product of all distinct nonzero numbers that can be formed from the digits of n.at n=42A061497
- Sum of first n perfect powers.at n=44A076408
- a(n) = n*(n^4 + 30*n^3 + 395*n^2 + 2910*n + 11064)/120.at n=12A090391
- A000799(n) - A064355(n).at n=59A114699
- Triangle read by rows, T(n,k) = T(n-1, k-1) - T(n-k, k-1); with leftmost term in each row = sum of all previous terms.at n=78A137680
- Left border of triangle A137680.at n=12A137682
- Number of (w,x,y) with all terms in {0,...,n} and w != x and x < range(w,x,y).at n=34A212970
- a(n) is the least value of k such that the decimal expansion of Lucas(k) contains n consecutive identical digits.at n=8A217166
- Number of partitions of n+7 with largest inscribed rectangle having area <= n.at n=29A218628
- a(n) = Sum_{i=0..n} digsum_9(i)^4, where digsum_9(i) = A053830(i).at n=16A231687
- Expansion of 2*x/((1-sqrt(1-2*(1-sqrt(1-4*x))))*sqrt(1-2*(1-sqrt(1-4*x))) * sqrt(1-4*x)).at n=7A243204
- Numbers whose binary representation traces a nonselfcrossing circuit in honeycomb lattice when its bits (from the least to the second most significant bit) are interpreted as directions to proceed at each vertex. (The most significant 1-bit is ignored).at n=49A255571
- a(n) = 2 * A000538(n).at n=8A259108