10163
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10164
- 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
- 10162
- Möbius Function
- -1
- Radical
- 10163
- 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
- 42
- 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
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1248
- 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 even period and if the last term of the periodic part is deleted the central term is 99.at n=35A031597
- Primes such that the sum of the factorials of the digits is a perfect square.at n=27A052279
- Triangle of number of falls in set partitions of n.at n=38A056859
- Primes of the form 4*k^2 + 163.at n=42A057604
- a(n) is smallest safe prime (A005385) such that a(n) + 12*n is the next safe prime, i.e., x = (a(n) - 1)/2 and x + 6*n are closest Sophie Germain primes.at n=14A059327
- Safe primes which are also Sophie Germain primes.at n=28A059455
- Numbers k such that k, 2*k+1, 3*k+2 are primes.at n=43A067256
- Smallest prime equal to the sum of 2n+1 consecutive primes.at n=31A070934
- a(1) = 1, a(n) = smallest prime number not already used such that concatenation of a(k) and a(n) is composite for all k = 1 to n-1.at n=38A075612
- Smallest odd prime that is the sum of 2n+1 consecutive primes.at n=31A082244
- Starting positions of strings of three 6's in the decimal expansion of Pi.at n=6A083625
- Largest integer not expressible as a nonnegative linear combination of n and n^2 + 1.at n=21A087908
- Numbers k such that 11k = 6j^2 + 6j + 1.at n=24A106388
- Numbers k such that 6^k - k^6 is prime.at n=8A117706
- Smaller of two consecutive Sophie Germain primes with the same digital sum.at n=24A118506
- Larger of two consecutive Sophie Germain primes with the same digital sum.at n=23A118507
- Table read by rows: rows give successive prime sextets of form k, k+30, k+60, k+90, k+120, k+150.at n=44A123085
- Primes of the form 3x^2+455y^2.at n=37A140015
- Primes of the form 24x^2+24xy+83y^2.at n=39A140038
- Primes of the form 2*3*5*7*n+83.at n=24A141570