8499
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11336
- Proper Divisor Sum (Aliquot Sum)
- 2837
- 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
- 5664
- Möbius Function
- 1
- Radical
- 8499
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 127
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- 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 even period and if the last term of the periodic part is deleted the central term is 60.at n=39A031558
- a(n) = a(n-1) + 2*a(floor(n/2)) if n > 0, otherwise 1.at n=25A058039
- Numerators of power series for sqrt(1+x^2)/sqrt(1-x).at n=8A067649
- a(0) = 2, a(1) = 3, a(2) = 5; a(n) = a(n-1) + [a(n-1)-a(n-2)] * [a(n-2)-a(n-3)].at n=8A079429
- Sum of the smallest parts of all compositions of n.at n=13A097939
- Numbers k such that k^3 contains a pandigital substring.at n=8A115933
- Numbers n such that every digit occurs at least once in n^3.at n=35A119735
- Sum of squares of three consecutive primes.at n=14A133529
- Numbers n such that 10^n - 71 is prime.at n=17A178434
- Unhappy numbers which enter the cycle (4, 16, 37, 58, 89, 145, 42, 20) at 20.at n=42A193572
- Semiprimes sp = p^2 + q^2 + r^2 where p, q and r are consecutive primes.at n=5A242209
- Partial sums of A253086.at n=43A255150
- Numbers m, such that the smallest prime factor of 1+78557*2^m doesn't belong to the covering set {3, 5, 7, 13, 19, 37, 73}.at n=24A258095
- G.f. B(x) satisfies: B(x) = x + A(B(x))^3 such that A(x) = x + B(A(x))^2, where A(x) is the g.f. of A263532.at n=8A263533
- Numbers n such that n*2^521 - 1 is prime.at n=31A265498
- Where record values occur in A276781, when starting from A276781(2)=1.at n=32A276782
- G.f.: Product_{k>=1, j>=1} 1/(1 - x^(j*k^3)).at n=31A280661
- Partial sums of A301680.at n=57A301681
- Number of special sums of integer partitions of n.at n=22A304796
- Partial sums of A108754.at n=32A307673