9513
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15808
- Proper Divisor Sum (Aliquot Sum)
- 6295
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5400
- Möbius Function
- 0
- Radical
- 3171
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 197
- 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
- no
- Odd
- yes
Appears in sequences
- Number of simple imperfect squared rectangles of order n up to symmetry.at n=17A002881
- Divisors of 2^30 - 1.at n=37A003538
- In A015922, not in A033553.at n=22A033554
- Numbers ending with '3' that are the difference of two positive cubes.at n=22A038858
- a(n) = (n+3)^3 - n^3.at n=30A038865
- 13-gonal (or tridecagonal) numbers: a(n) = n*(11*n - 9)/2.at n=42A051865
- Nontrivial numbers k containing no zero digits which are divisible by the number formed by writing the digits of k in ascending order.at n=0A084687
- Primitive members of A084687. That is, members which cannot be generated by inserting digits into previous members in recognized patterns.at n=0A086083
- a(n) = A087588(n)^(1/2).at n=3A087589
- Convoluted convolved Fibonacci numbers G_6^(r).at n=25A089111
- Numbers k divisible by at least one nontrivial permutation (rearrangement) of the digits of k, excluding all permutations that result in digit loss.at n=5A090056
- Number of parts unequal to 1 in all partitions of the integer n. Also the difference between the labeled and the unlabeled case of one-element transitions from the partitions of n to the partitions of n+1.at n=25A096541
- Numbers n such that n and its digit reversal R(n) both are difference of positive cubes.at n=16A109879
- a(0) = 1, a(1) = 9, a(n) = 6*a(n-1) - a(n-2) - 4.at n=5A114040
- Number of partitions of n having exactly one part that is a multiple of 3.at n=40A116634
- Sum of the levels of the first leaf (in the preorder traversal) over all hex trees with n edges.at n=5A126187
- Half-sum (or average) of cubes of two distinct odd primes.at n=27A138855
- a(n) = ((9+sqrt(6))^n + (9-sqrt(6))^n)/2.at n=4A152264
- Number of idempotent 3 X 3 0..n matrices of rank 1.at n=36A224525
- Sum of numbers on n-th segment of Ulam's spiral.at n=41A257171