8699
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 32
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8700
- 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
- 8698
- Möbius Function
- -1
- Radical
- 8699
- 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
- 202
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1084
- 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 78.at n=21A020417
- 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 93.at n=5A031591
- Primes whose digits are composite; primes having only {4, 6, 8, 9} as digits.at n=15A051416
- Primes having only {0, 6, 8, 9} as digits.at n=12A053580
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2,3)=binomial(j+2,3)+k^3, ordered by increasing i; sequence gives i values.at n=34A054221
- A054221 without cubes.at n=15A054224
- Primes having only 0,4,6,8,9 as digits.at n=26A061372
- Sum of digits = 8 times number of digits.at n=24A061425
- Primes related to the nondecreasing subsequence of A007605 (sums of digits of primes).at n=36A067954
- Number of polyhypercubes or 4-dimensional polyominoes with n cells (regarding mirror-images as identical).at n=8A068870
- Primes related to the nondecreasing subsequence of A053666.at n=39A069802
- Smallest prime q of form q=-1+(c+1)*10^w, where c runs through composites not divisible by 3.at n=34A073928
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 8*p+1 (A023228) is also prime.at n=28A075706
- a(n) = prime(n*(n+1)/2+3).at n=46A078724
- Prime numbers using only the curved digits 0, 3, 6, 8 and 9.at n=42A079652
- Primes in which no digit is coprime to its neighbors.at n=26A088297
- p(k) such that 2*p(k)+3 and 2*p(k+1) + 3 are consecutive primes, where p(i) denotes the i-th prime.at n=33A089527
- Primes p such that both prime(p) + prime(p+1) +/-1 are also primes.at n=43A093734
- Least initial value for a Euclid/Mullin sequence whose 3rd term (= least prime divisor of 1+2p) equals the n-th prime. prime(1)=2 is never a third term, so offset=2.at n=29A094464
- Primes of the form 100n - 1.at n=25A095995