9461
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9462
- 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
- 9460
- Möbius Function
- -1
- Radical
- 9461
- 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
- 60
- 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
- 1171
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=24A001135
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=23A023271
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7.at n=28A031420
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=27A031822
- Primes with indices that are primes with prime indices.at n=43A038580
- Primes prime(k) for which A049076(k) = 3.at n=29A049079
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049735.at n=16A049736
- Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223.at n=22A052163
- Primes p such that x^43 = 2 has no solution mod p.at n=26A059243
- Centered 10-gonal numbers.at n=43A062786
- Twin primes belonging to packs of four or more twin pairs.at n=6A068220
- Twin primes belonging to packs of three or more twin pairs.at n=43A069467
- Number of m such that floor(prime(m)/m) = n.at n=9A072916
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern.at n=19A078847
- Primes p such that the differences between the 5 consecutive primes starting with p are (2,4,6,6).at n=4A078947
- First row of square array A082011.at n=46A082012
- Prime(prime(n)) when prime(prime(n)) and n are twin primes.at n=13A087394
- Primes that are a sum of twin primes and their indices.at n=32A088187
- Smallest member of a pair of consecutive twin prime pairs that have exactly n primes between them.at n=16A089637
- Primes of the form 5k^2 + 5k + 1.at n=24A090562