9431
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9432
- 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
- 9430
- Möbius Function
- -1
- Radical
- 9431
- 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
- 104
- 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
- 1167
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 9*2^k + 1 is prime.at n=35A002256
- Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime.at n=11A007530
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 97.at n=3A031595
- Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.at n=31A032540
- Arrange digits of cubes in descending order.at n=17A032554
- Initial terms of '4-block' primes as described in A032591.at n=16A032592
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5) <= cn(1,5).at n=58A036846
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=31A039664
- Primes with distinct digits in descending order.at n=47A052014
- Primes at which the difference pattern X,2,4,2,Y (X and Y >= 6) occurs in A001223.at n=4A052165
- First of four consecutive primes that comprise two sets of twin primes.at n=36A053778
- Primes p such that x^41 = 2 has no solution mod p.at n=28A059236
- Lesser of irregular twin primes.at n=32A060012
- Twin primes belonging to packs of four or more twin pairs.at n=2A068220
- Twin primes belonging to packs of three or more twin pairs.at n=39A069467
- Rounded total surface area of a regular icosahedron with edge length n.at n=33A071398
- Primes p such that 3p is equidistant from consecutive prime twin pairs.at n=46A074931
- Lower twin primes with lower twin prime index.at n=14A088460
- Smallest member of a pair of consecutive twin prime pairs that have no primes between them.at n=37A089628
- Number of plane partitions of n with 3 or more columns.at n=15A089924