9769
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9770
- 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
- 9768
- Möbius Function
- -1
- Radical
- 9769
- 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
- 1205
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=27A023281
- Primes that remain prime through 3 iterations of function f(x) = 7x + 6.at n=19A023290
- Primes that remain prime through 4 iterations of function f(x) = 4x + 3.at n=5A023311
- Primes that remain prime through 5 iterations of function f(x) = 4x + 3.at n=0A023339
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=29A025025
- Expansion of (1+x^2-x^3)/(1-x)^4.at n=36A027378
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=19A031828
- First member of a prime triple in a p^2 + p - 1 progression.at n=43A057324
- Primes p such that x^37 = 2 has no solution mod p.at n=34A059223
- Primes that are each the sum of two, three, and four consecutive composite numbers.at n=14A060339
- Primes with 13 as smallest positive primitive root.at n=24A061326
- Primes starting and ending with 9.at n=23A062335
- Integer part of (Product(n^((1 + log(1 + i))/i^2), {i, 1, n})).at n=18A062486
- Nearest integer to (Product(n^((1 + log(1 + i))/i^2), {i, 1, n})).at n=18A062487
- a(n) = 2*prime(n)^2 - prime(n+1)^2.at n=26A064051
- Primes whose 10's complement is a triangular number.at n=15A082992
- Initial prime of the first prime chain of length n under the iteration x -> 4x + 3.at n=5A084957
- Diagonal of A088262.at n=27A088263
- Upper bound of twin prime pairs whose digital reverse is prime.at n=43A101782
- Primes with minimal digit = 6.at n=27A106106