10321
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10322
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10320
- Möbius Function
- -1
- Radical
- 10321
- 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
- 148
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1266
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Prime(n)*...*a(n) is the least product of consecutive primes which is non-deficient.at n=24A007686
- Prime(n)*...*a(n) is the least product of consecutive primes which is abundant.at n=24A007708
- Powers of cube root of 2 rounded down.at n=40A017979
- Powers of cube root of 2 rounded to nearest integer.at n=40A017980
- Powers of cube root of 4 rounded down.at n=20A017985
- Powers of cube root of 4 rounded to nearest integer.at n=20A017986
- Powers of cube root of 16 rounded down.at n=10A018021
- Powers of cube root of 16 rounded to nearest integer.at n=10A018022
- Diagonal sum of left justified array T given by A027082.at n=25A027100
- Primes p such that 666p is palindromic.at n=8A030095
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=22A031828
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=22A031902
- Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 1,0,3,2.at n=4A037687
- Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=33A052029
- First member of a prime triple in a 2p-1 progression.at n=44A057326
- First member of a prime quadruple in a 2p-1 progression.at n=7A057327
- Coefficients of monic irreducible polynomials over GF(4) listed in lexicographic order.at n=38A058948
- Primes p such that x^43 = 2 has no solution mod p.at n=29A059243
- a(1) = 2; a(n+1) is obtained by writing a(n) in binary and trying to complement just one bit, starting with the least significant bit, until a new prime is reached.at n=12A059459
- Distinct (non-overlapping) twin Harshad numbers whose sum is prime.at n=38A060288