9041
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9042
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 9040
- Möbius Function
- -1
- Radical
- 9041
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 184
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1123
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 83.at n=3A020422
- Denominators of continued fraction convergents to sqrt(199).at n=9A041369
- Denominators of continued fraction convergents to sqrt(796).at n=9A042535
- (s(n)+1)/10, where s(n)=n-th base 10 palindrome that starts with 9.at n=26A043088
- Primes with first digit 9.at n=20A045715
- Let (p1,p2), (p3,p4) be pairs of twin primes with p1*p2=p3+p4-1; sequence gives values of p1.at n=16A047976
- Primes p such that the decimal digits of p^2 can be partitioned into two or more nonzero squares.at n=24A048646
- Least prime in A001359 (lesser of twin primes) such that the distance (A053319) to the next twin is 6*n.at n=32A052350
- Differences between numbers k such that k and k+1 have the same sum of divisors.at n=13A054001
- Prime number spiral (clockwise, Northeast spoke).at n=17A054553
- Primes p for which the period of reciprocal = (p-1)/8.at n=19A056213
- First member of a prime triple in a p^2 + p - 1 progression.at n=39A057324
- Triangle T(n,k) of numbers of minimal 4-covers of an unlabeled n+4-set that cover k points of that set uniquely (k=4,..,n+4).at n=55A057967
- Lesser of irregular twin primes.at n=31A060012
- Prime having only {0, 1, 4, 9} as digits.at n=41A061246
- Emirps which when concatenated with their reversals after a 0 make a palindromic prime of the form emirp0prime.at n=34A070954
- Primes whose 10's complement is a palindrome.at n=37A083017
- Primes p having exactly one partition into distinct divisors of p+1.at n=29A085499
- Smallest member of a pair of consecutive twin prime pairs that have exactly n primes between them.at n=20A089637
- "Secondary twin primes": a(n) = A006450(A096477(n)).at n=28A096479