9600
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 31620
- Proper Divisor Sum (Aliquot Sum)
- 22020
- 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
- 2560
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 10
- 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
- yes
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Bisection of A002470.at n=10A002286
- Glaisher's function W(n).at n=21A002470
- a(n) = n^2*(n+1)*(n+2)^2/6.at n=8A004256
- Coordination sequence for NiAs(1), As position.at n=40A009943
- Exponential generating function = (1+2*x)/(1-2*x)^3.at n=4A014479
- COMPOSE triangular numbers with triangular numbers.at n=6A030280
- 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 47.at n=37A031545
- a(1) = 1, a(2) = 16, a(n) = lcm(48, 2n^2) for n>2.at n=39A032444
- Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.at n=32A032540
- Numbers k such that A102489(k) is divisible by k.at n=37A032563
- a(n) = 6*n^2.at n=40A033581
- Theta series of extremal 3-modular even lattice in dimension 32.at n=3A034626
- Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j)*10^j.at n=12A038240
- Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*8^j.at n=12A038250
- Triangle whose (i,j)-th entry is binomial(i,j)*8^(i-j)*5^j.at n=12A038283
- Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*4^j.at n=12A038306
- Number of 2n-bead balanced binary strings of fundamental period 2n, rotationally equivalent to reversed complement, inequivalent to reverse and complement.at n=10A045669
- Numbers that are divisible by at least 10 primes (counted with multiplicity).at n=30A046313
- Numbers that are divisible by exactly 10 primes with multiplicity.at n=19A046314
- Numbers n such that n^2 can be obtained from n by inserting internal (but not necessarily contiguous) digits.at n=43A046851