9688
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20880
- Proper Divisor Sum (Aliquot Sum)
- 11192
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4128
- Möbius Function
- 0
- Radical
- 2422
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 73
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 1.at n=15A049917
- Numbers k such that k*2^m-1 are composites for all exponents m in the range 0<=m<=k.at n=25A061154
- Numbers k such that 2^(k+1) - 1 is prime.at n=20A090748
- Exponents m such that 1-A065395(2^m) is a power of 2, where A065395(n) = sigma(phi(n)) - phi(sigma(n)).at n=25A092591
- Number of digits in A090162(n).at n=5A100022
- Triangle of numbers related to the generalized Catalan sequence C(3;n+1) = A064063(n+1), n>=0.at n=19A115154
- Second diagonal (M=2) of triangle A115154 (called Y(3,1)).at n=4A115188
- Location of record values in A080577; also partial sums of A006128 plus 1.at n=18A124920
- a(n) = n-th prime * n-th nonprime.at n=39A127118
- Number of partitions of n where odd parts are distinct or repeated once.at n=39A131945
- Similar to A072921 but starting with 5.at n=41A152234
- a(n) = p(n)*p(n+2) - 3*p(n+1), where p(n) is the n-th prime.at n=24A152528
- Number of n X n arrays of squares of integers summing to 6.at n=2A159363
- Integers n such that 17+30*n are terms in A172456.at n=9A175103
- Number of nondecreasing strings of numbers x(i=1..8) in -n..n with sum x(i)^3 equal to 0.at n=14A188282
- 1/4 the number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero.at n=14A189953
- Convolution of the Floor-Sqrt transform of Catalan numbers.at n=14A192652
- Number of (n+1)X4 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.at n=1A205604
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.at n=7A205609
- Number of 3 X (n+1) 0..3 arrays with every 2 X 2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.at n=2A205610