9699
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 33
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13392
- Proper Divisor Sum (Aliquot Sum)
- 3693
- 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
- 6240
- Möbius Function
- -1
- Radical
- 9699
- 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
- 21
- 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
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=68A011913
- Odd 9-gonal (or enneagonal) numbers.at n=26A028991
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 17 ones.at n=9A031785
- a(n) = (2*n+1)*(7*n+1).at n=26A033572
- Numbers having three 9's in base 10.at n=15A043527
- Numbers k such that 285*2^k-1 is prime.at n=40A050901
- A simple grammar.at n=10A052869
- Numbers k such that 2^k - 9 is prime.at n=21A059610
- Harmonic mean of digits is 8.at n=5A062185
- a(1) = 7; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=47A074343
- 3-almost primes with semiprime digits (digits 4, 6, 9 only).at n=27A111494
- Where records occur in A111390.at n=27A114111
- Starting numbers for which the RATS sequence has eventual period 14.at n=28A114615
- a(1)=1, a(n) = a(n-1) + n^4 if n odd, a(n) = a(n-1) + n^1 if n is even.at n=9A140158
- Numbers with rounded up arithmetic mean of digits = 9.at n=29A178369
- Odd numbers producing 4 odd numbers in the Collatz iteration.at n=26A198587
- Numbers n such that n^8+8 and n^8-8 are prime.at n=14A239503
- Number of partitions p of n such that round(mean(p)) is a part of p; here, round(x) means floor(x + 1/2).at n=36A241733
- Least positive integer m with prime(m)+2 and prime(prime(m))+2 both prime such that prime(m*n)+2 and prime(prime(m*n))+2 are both prime.at n=51A259487
- Numbers equidistant from twin prime pairs that are also equidistant from numbers equidistant from twin prime pairs.at n=15A260517