9035
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11760
- Proper Divisor Sum (Aliquot Sum)
- 2725
- 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
- 6624
- Möbius Function
- -1
- Radical
- 9035
- Omega Function (Ω)
- 3
- 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
- 39
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 19.at n=4A031697
- Gaps of 10 in sequence A038593 (lower terms).at n=6A038659
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=38A038853
- Numbers ending with '5' that are the difference of two positive cubes.at n=26A038860
- a(n) = (n+5)^3 - n^3.at n=22A038867
- a(n) = floor(binomial(n+7,7)/binomial(n+3,3)).at n=47A084628
- Start with 1027 and repeatedly reverse the digits and add 16 to get the next term.at n=46A119455
- Odd interprimes divisible by 13.at n=40A124619
- Sums of three consecutive heptagonal numbers.at n=34A129111
- Number of partitions of n such that number of odd parts is greater than or equal to number of even parts.at n=34A130780
- a(n) = 361*n^2 + 2*n.at n=4A158309
- Number of simple connected well-covered graphs on n nodes.at n=8A222625
- Triangle, read by rows, based on the Fibonacci numbers.at n=59A234713
- Numbers n such that 36n+11, 36(n+1)+11, 36(n+2)+11 and 36(n+3)+11 are prime.at n=12A255608
- Bases b where exactly eight primes p with p < b exist such that p is a base-b Wieferich prime.at n=3A325884
- Number of partitions in all twice partitions of n where both partitions are strict.at n=19A327553
- Positive numbers k such that -k, -(k + 1), and -(k + 2) are 3 consecutive negative negaFibonacci-Niven numbers (A331088).at n=27A331090
- Number of partitions of 2*n into exactly n prime powers (including 1).at n=39A341154
- a(n) is the smallest positive integer which can be represented as the sum of distinct centered n-gonal numbers in exactly n ways, or 0 if no such integer exists.at n=39A350209