17352
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 47190
- Proper Divisor Sum (Aliquot Sum)
- 29838
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 1446
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 79
- 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
- Gaps of 8 in sequence A038593 (lower terms).at n=11A038655
- Gaps of 8 in sequence A038593 (upper terms).at n=10A038656
- Numbers ending with '2' that are the difference of two positive cubes.at n=39A038857
- Numbers k that divide the sum of the digits of (k!)^2.at n=22A108862
- Numbers k such that k and 4*k, taken together, are pandigital.at n=2A115924
- Sum of products of factorials of parts times the factorial of the number of parts in all integer partitions of n.at n=7A160564
- Number of binary strings of length n with no substrings equal to 000, 010, or 111.at n=44A164317
- G.f. (x + 1)^10/(x^10 + x^9 - x^7 - x^6 - x^5 - x^4 - x^3 + x + 1).at n=33A173243
- Number of (w,x,y,z) with all terms in {0,...,n} and 2w=max{w,x,y,z}-min{w,x,y,z}.at n=33A212757
- Number of length 5+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third.at n=22A248438
- Positions of squares in A276573.at n=45A277014
- Number of n X 2 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.at n=3A278728
- Number of nX4 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.at n=1A278730
- T(n,k)=Number of nXk 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.at n=11A278734
- T(n,k)=Number of nXk 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake.at n=13A278734
- p-INVERT of (0,0,0,1,2,3,5,8,...), the Fibonacci numbers preceded by three zeros, where p(S) = 1 - S - S^2.at n=20A289977
- Expansion of Product_{k>=1} 1/(1 - x^(k*(k+1)/2))^2.at n=39A298435
- Number of invertible n X n cyclic matrices over GF(2).at n=4A346084
- Number of integer compositions of 2n whose leaders of weakly decreasing runs sum to n. Center n = 2*k of the triangle A374748.at n=9A374703