9741
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 4083
- 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
- 6080
- Möbius Function
- -1
- Radical
- 9741
- 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
- 135
- 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
- Number of partitions of n into parts of sizes {a( )} is a(n).at n=53A007209
- Powers of fourth root of 2 rounded down.at n=53A018048
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=39A020407
- Smallest value of x such that M(x) = -n, where M(x) is Mertens's function A002321.at n=34A051401
- Number of dissimilar ternary squarefree words of length n+1.at n=30A060688
- Numbers k such that k and its reversal are both multiples of 17.at n=32A062906
- Non-palindromic number and its reversal are both multiples of 17.at n=22A062915
- Numbers n such that phi(3n-1) = sigma(n).at n=42A067232
- Numbers n such that sigma(n)=phi(n*bigomega(n)-1).at n=27A067877
- Numbers k such that sigma(k) = phi(k*omega(k)-1).at n=39A067878
- Number of partitions of n into numbers having in binary representation at most trailing zeros.at n=40A087750
- Where records occur in A111390.at n=48A114111
- Odd interprimes divisible by 17.at n=30A124620
- Smallest odd interprime divisible by n-th odd prime.at n=41A124622
- a(n) = p^2 - sum of digits of p^p, where p = prime(n).at n=26A140499
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1000-1110-0111 pattern in any orientation.at n=13A146821
- Partial sums of floor(n^3/3).at n=18A173707
- Numbers that are the product of 3 distinct primes a,b and c, such that a+b+c, a^2+b^2+c^2 and a^3+b^3+c^3 are prime numbers.at n=16A176911
- Number of length 3 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7.at n=26A258634
- Molien series for invariants of finite Coxeter group A_7.at n=64A266776