9730
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 10430
- 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
- 3312
- Möbius Function
- 1
- Radical
- 9730
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- Convolution of A000203 with itself.at n=27A000385
- Generalized Fibonacci numbers D_{n,3}.at n=15A006211
- Expansion of e.g.f. arcsin(sec(x) * log(x+1)).at n=7A012774
- a(n) = 2*n*(4*n - 1).at n=35A014635
- Numbers k such that k | 10^k + 10.at n=18A015902
- Pseudoprimes to base 11.at n=28A020139
- Pseudoprimes to base 51.at n=33A020179
- Pseudoprimes to base 71.at n=42A020199
- Convolution of natural numbers >= 2 and natural numbers >= 3.at n=34A023545
- Triangle of the square of the normalized, unsigned Stirling matrix of the first kind.at n=25A027477
- Second subdiagonal of triangle A027477, constructed from the Stirling numbers of the first kind.at n=4A027481
- Triangular numbers (A000217) with prime indices.at n=33A034953
- Even triangular numbers with prime indices.at n=17A034955
- Triangle T(n,k) (n >= 2, k = 3..n+floor(n/2)) giving number of bicoverings of an n-set with k blocks.at n=35A059443
- Triangle read by rows: T(n,k) gives number of r-bicoverings of an n-set with k blocks, n >= 2, k = 3..n+floor(n/2).at n=35A060052
- Numbers n such that phi((prime(n)+1)/2)=sigma(n).at n=27A068473
- Triangular numbers of the form 10*k.at n=27A069498
- Sum of squares of digits of n is equal to the largest prime factor of n.at n=25A074302
- Triangular numbers whose sum of prime factors (with repetition) is also triangular.at n=16A076169
- Triangular numbers which are 4-almost primes.at n=38A076578