8849
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8850
- 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
- 8848
- Möbius Function
- -1
- Radical
- 8849
- 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
- 47
- 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
- 1103
- 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 period 93.at n=5A020432
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=28A023301
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,2.at n=4A037573
- Denominators of continued fraction convergents to sqrt(111).at n=10A041201
- Revert transform of 2*x*(1-x)-x/(1+x).at n=8A049171
- a(n)=T(n,n+3), array T as in A049735.at n=36A049743
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 3.at n=14A050665
- Primes whose digits are composite; primes having only {4, 6, 8, 9} as digits.at n=16A051416
- Distinct (non-overlapping) twin Harshad numbers whose sum is prime.at n=34A060288
- Primes which are sums of twin Harshad numbers (includes overlaps).at n=39A060290
- Primes having only 0,4,6,8,9 as digits.at n=27A061372
- Lonely non-twin primes: non-twins sandwiched between two pairs of twins.at n=34A068016
- Primes of the form x^2 + (x+3)^2.at n=18A076727
- Numbers which are primes and which remain prime for three successive applications of incrementing each digit by 2 with carries ignored.at n=14A088787
- Numbers that are primes and remain prime for four successive applications of incrementing each digit by 2 with carries ignored.at n=3A088788
- Primes with digit sum = 29.at n=19A106766
- Primes p=prime(k) of level (1,2), i.e., such that A118534(k) = prime(k-2).at n=41A117876
- Prime quartet leaders: largest number of a prime quartet.at n=19A119892
- Primes with prime "Look And Say" descriptions from left to right (irrespective of method A or method B).at n=45A127176
- Primes which are the sum of five positive 4th powers.at n=41A133750