9893
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10668
- Proper Divisor Sum (Aliquot Sum)
- 775
- 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
- 9120
- Möbius Function
- 1
- Radical
- 9893
- 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
- 122
- 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
- Define the sequence T(a(0),a(1)) by a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n) for n >= 0. This is T(4,10).at n=9A019494
- Numbers k such that the continued fraction for sqrt(k) has period 37.at n=21A020376
- 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 11.at n=10A031599
- Denominators of continued fraction convergents to sqrt(778).at n=7A042501
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=24A045104
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 9.at n=17A051974
- Number of ordered triples (i,j,k) in range [0..n] satisfying i == j mod 2 and j == k mod 3.at n=38A115520
- Where records occur in A118522.at n=11A118524
- One-third of the number of n X n nonnegative integer arrays with every 3 X 3 subblock summing to 5.at n=1A145056
- A symmetrical triangle:q=2;c(n,q)=Product[1 - q^i, {i, 1, n}];t(n,m,q)=A060187(n,m)-c(n,q)/(c(m,q)*c(n-m,q))+1.at n=23A176467
- A symmetrical triangle:q=2;c(n,q)=Product[1 - q^i, {i, 1, n}];t(n,m,q)=A060187(n,m)-c(n,q)/(c(m,q)*c(n-m,q))+1.at n=25A176467
- Numbers that are the product of two distinct primes a and b, such that a^3+b^3 is the average of a twin prime pair.at n=33A176876
- Number of length n+6 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=29A255997
- Total number of composite parts in all partitions of n.at n=30A326981
- The reversing binary representation of the sum of the divisors of the n-th odd square: a(n) = A065621(A379223(n)).at n=38A379224