11783
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 11784
- 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
- 11782
- Möbius Function
- -1
- Radical
- 11783
- 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
- 81
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1412
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Third term of weak prime quintets: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1).at n=25A054825
- Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=29A055472
- Primes p such that x^43 = 2 has no solution mod p.at n=32A059243
- Primes of the form x^2 + y^2 + z, where x, y and z are three successive numbers.at n=15A095697
- Triangular matchstick numbers in the class of prime numbers: sum of n-th and next n primes.at n=39A105720
- Least prime p for which Mertens's function M(p) = n.at n=42A123172
- Primes of the form 210k + 23.at n=29A140844
- Primes congruent to 17 mod 37.at n=38A142126
- Primes congruent to 16 mod 41.at n=32A142213
- Primes congruent to 1 mod 43.at n=33A142250
- Primes congruent to 33 mod 47.at n=30A142384
- Primes congruent to 23 mod 49.at n=34A142433
- Primes congruent to 17 mod 53.at n=29A142547
- Primes congruent to 13 mod 55.at n=32A142610
- Primes congruent to 41 mod 57.at n=39A142690
- Primes congruent to 42 mod 59.at n=25A142769
- Primes congruent to 10 mod 61.at n=25A142808
- Primes congruent to 2 mod 63.at n=38A142890
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1000-1000-1111-0001 pattern in any orientation.at n=17A147272
- Beginnings of maximal chains of primes with three members (two links).at n=38A152866