17224
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 32310
- Proper Divisor Sum (Aliquot Sum)
- 15086
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8608
- Möbius Function
- 0
- Radical
- 4306
- 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
- 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
- Convolution of A000203 with itself.at n=33A000385
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 65.at n=37A031563
- Start of n-th segment of Recamán's sequence R(m) (A005132): values of n where the change in the fractional parts of successive values of R(n)/n is positive.at n=16A064492
- Numbers k such that numerator(Bernoulli(2*k)/(2*k)) is different from numerator(Bernoulli(2*k)/(2*k*(2*k-1))).at n=66A090495
- Molecular topological indices of the path graphs P_n.at n=29A121318
- Number of partitions p of n such that median(p) = multiplicity(min(p)).at n=51A240214
- Number of partitions of n such that the multiplicity of the greatest part is a part.at n=37A240494
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having x11-x00 less than x10-x01.at n=37A251268
- Number of (2+1) X (n+1) 0..1 arrays with no 2 X 2 subblock having x11-x00 less than x10-x01.at n=7A251269
- Number of length n+2 0..1 arrays with at most two downsteps in every n consecutive neighbor pairs.at n=16A256817
- Number of sets of nonempty words with a total of n letters over octonary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter.at n=10A293747
- Number of total dominating sets in the wheel graph on n nodes.at n=14A302603
- Number of nX6 0..1 arrays with every element unequal to 0, 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.at n=6A316613
- Number of n X 7 0..1 arrays with every element unequal to 0, 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.at n=5A316614
- Records in the trajectory of all positive integers in the 3x+1 or Collatz problem, including the trajectory [1, 4, 2, 1] of 1.at n=23A347652
- Numbers k such that the k-th composition in standard order is a non-alternating permutation of an initial interval of positive integers.at n=34A350250
- Number of total dominating sets in the n-double cone graph.at n=6A362750
- Number of defective (binary) heaps on n elements from the set {0,1} with exactly one defect.at n=20A372628
- Positions of zeros in A378505.at n=12A379013