9829
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9830
- 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
- 9828
- Möbius Function
- -1
- Radical
- 9829
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 135
- 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
- 1212
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of numbers == 0 (mod 3) in range 2^n to 2^(n+1) with odd number of 1's in binary expansion.at n=15A000773
- Primes that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)^2 - s(n) + 1, s(0) = 2.at n=23A007996
- Number of ordered 5-tuples of integers from [ 2,n ] with no common factors among triples.at n=18A015657
- Least term in period of continued fraction for sqrt(n) is 7.at n=18A031431
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 13.at n=9A031601
- Sums of 7 distinct powers of 3.at n=33A038469
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=28A045108
- Primes whose sum of digits is the perfect number 28.at n=26A048517
- Primes with 10 as smallest positive primitive root.at n=25A061323
- Primes starting and ending with 9.at n=24A062335
- Prefixing, suffixing or inserting a 9 in the number anywhere gives a prime.at n=41A069833
- Records in A079384.at n=8A079385
- Generalized Poly-Bernoulli numbers.at n=7A081674
- Primes whose 10's complement is a triangular number.at n=16A082992
- Primes whose 10's complement is a palindrome.at n=44A083017
- a(1) = 1; for n>1, a(n) = smallest prime > a(n-1) such that a(1)*...*a(n) + 2 is a prime.at n=47A085013
- Primes p such that p-3 and p+3 are divisible by a cube.at n=9A089201
- Prime(p)-4 for primes p such that prime(p) - 4 is prime.at n=25A094069
- a(n) = Sum_{2*i+3*j=n, 0<=i<=n, 0<=j<=n} n!/( (2*i)!*(3*j)! ).at n=16A094715
- Sums of p-th to the q-th prime where p and q are twin primes.at n=23A114379