9664
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 19304
- Proper Divisor Sum (Aliquot Sum)
- 9640
- 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
- 4800
- Möbius Function
- 0
- Radical
- 302
- Omega Function (Ω)
- 7
- 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
- 21
- 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
- Pisot sequence T(6,10), a(n) = floor(a(n-1)^2/a(n-2)).at n=17A020741
- Sum of n plus its prime factors associated with A020700.at n=21A020905
- Numbers with 14 divisors.at n=40A030632
- Decimal part of cube root of a(n) starts with 3: first term of runs.at n=19A034129
- Number of partitions satisfying cn(1,5) <= 1 and cn(4,5) <= 1.at n=44A039854
- Expansion of 1/(1-2*x-2*x^3).at n=11A052912
- Triangle with T(n,k) = k*E(n,k) where E(n,k) are Eulerian numbers A008292.at n=24A065826
- a(0) = 1; for n>0, a(n) = number of distinct sums of subsets of {1, 1/2, 1/3, 1/4, ..., 1/n} (allowing the empty subset).at n=15A072207
- a(0)=1; a(n) = sigma_1(n) + sigma_3(n).at n=21A092345
- Numbers n such that 6*10^n+7 is prime.at n=17A103026
- a(n) = concatenation of (n times each digit of n).at n=31A111704
- n(k) is the minimum number of n that need at least another number of k to make Prime[n]+2*Prime[n-k]a prime.at n=48A114232
- a(n) = 5*n^2 + 20*n + 4.at n=41A134547
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 1, 1), (0, 1, 1), (1, -1, 1), (1, 1, 0)}.at n=7A150590
- A024581 / [1,2,3,...].at n=10A153582
- Convolution triangle by rows, A004736 * (A153582 * 0^(n-k)).at n=65A153583
- a(n) = the largest 4-digit number with exactly n divisors, a(n) = 0 if no such number exists.at n=13A182696
- Numbers with prime factorization p*q^6.at n=39A189987
- Q-residue of the coefficient triangle (A076699) of the cyclotomic polynomials, where Q is the triangular array (t(i,j)) given by t(i,j)=1. (See Comments.)at n=15A193650
- Positive integers n such that x^2 - 18xy + y^2 + n = 0 has integer solutions.at n=40A236331