17526
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
- 16
- Divisor Sum
- 36864
- Proper Divisor Sum (Aliquot Sum)
- 19338
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5544
- Möbius Function
- 1
- Radical
- 17526
- Omega Function (Ω)
- 4
- 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
- 48
- 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
- Number of partitions of n into relatively prime parts. Also aperiodic partitions.at n=36A000837
- Quadrinomial coefficients: C(2+n,n) + C(3+n,n) + C(4+n,n).at n=22A005718
- Numbers whose base-4 representation has exactly 8 runs.at n=22A043599
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 8.at n=22A043850
- Numbers n such that number of runs in the base 4 representation of n is congruent to 8 mod 9.at n=22A043866
- Numbers k such that number of runs in the base 4 representation of k is congruent to 8 mod 10.at n=22A043875
- Where 5^n occurs in n-almost-primes, starting at a(0)=1.at n=9A078844
- Records in A119842.at n=6A119844
- Distinct values in A119842, in order of appearance.at n=9A119846
- a(n) = 10*a(n-1) + 44*a(n-2) - 370*a(n-3) - 240*a(n-4) + 2400*a(n-5), a(1) = 1, a(2) = 1, a(3) = 31, a(4) = 134, a(5) = 2094, for n >= 6.at n=5A123236
- Number of n X n symmetric binary arrays with rows, considered as graycode numbers, in nondecreasing order, and no more than 2 ones in any row or column.at n=9A162057
- G.f. is the polynomial (Product_{k=1..24} (1 - x^(3*k)))/(1-x)^24.at n=4A162686
- Number of free poly-[3.6.3.6]-tiles (holes allowed) with n cells (division into rhombi is significant).at n=11A197459
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 350", based on the 5-celled von Neumann neighborhood.at n=33A287755
- Array read by antidiagonals: T(n,k) is the index of prime(k)^n in the numbers with n prime factors, counted with multiplicity.at n=63A376479