8609
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8610
- 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
- 8608
- Möbius Function
- -1
- Radical
- 8609
- 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
- 171
- 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
- 1072
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest nonnegative number that is the sum of 3 squares in exactly n ways.at n=40A000437
- Smallest number that is the sum of 3 squares in at least n ways.at n=40A000451
- Numbers that are the sum of 9 nonzero 8th powers.at n=18A003387
- Primes of the form 2^a + 3^b.at n=49A004051
- a(1)=3, b(n) = Product_{k=1..n} a(k), a(n+1) is the smallest prime factor of b(n)-1.at n=16A005265
- Number of n-covers of an unlabeled 4-set.at n=6A005746
- Primes of form 3*k^2 - 3*k + 23.at n=42A007637
- Triangle of numbers arising from analysis of Levine's sequence A011784.at n=53A014621
- Numbers k such that the continued fraction for sqrt(k) has period 59.at n=9A020398
- a(n) = Sum_{k=1..n} (n-k) * floor(n/k).at n=50A024920
- Least sum of 3 distinct nonzero squares in exactly n ways.at n=38A025415
- Primes that do not contain any other prime as a proper substring.at n=46A033274
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+5 or 24k-5. Also number of partitions in which no odd part is repeated, with at most 2 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=48A036031
- Primes having only {0, 6, 8, 9} as digits.at n=9A053580
- Number of 7-covers of an unlabeled n-set.at n=4A055066
- Triangle T(n,k) read by rows, giving number of k-member minimal covers of an unlabeled n-set, k=1..n.at n=61A055080
- Primes p for which the period of reciprocal = (p-1)/8.at n=17A056213
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=15A059287
- Primes p such that x^48 = 2 has no solution mod p, but x^24 = 2 has a solution mod p.at n=11A059669
- Primes having only 0,4,6,8,9 as digits.at n=23A061372