3630
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 5946
- 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
- 880
- Möbius Function
- 0
- Radical
- 330
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 56
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=33A000092
- Cluster series for bond percolation problem on diamond.at n=7A003208
- a(n) = n^2*(n^2 - 1)/4.at n=11A006011
- a(n) = n*(4*n+1).at n=30A007742
- Coordination sequence T4 for Zeolite Code FER.at n=37A008109
- Coordination sequence T5 for Zeolite Code MTT.at n=37A008193
- a(n) = Sum_{k=1..n} floor(k^4/n).at n=10A014819
- a(n) = (d(n)-r(n))/5, where d = A026054 and r is the periodic sequence with fundamental period (3,3,0,0,4).at n=42A026056
- a(n) = (n+1)*binomial(n+1,4).at n=7A027764
- a(n) = (n+1)*binomial(n+1,7).at n=4A027767
- a(n) = 5*(n+1)*binomial(n+2,10).at n=2A027783
- a(n) = (1/4)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2)*floor((n-3)/2).at n=24A028723
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 4.at n=42A031428
- Number of reversible strings with n-1 beads of 2 colors. 4 beads are black. String is not palindromic.at n=17A032091
- Number of aperiodic necklaces of n beads of 11 colors.at n=3A032166
- Numbers in which all pairs of consecutive base-10 digits differ by 3.at n=48A033081
- Coordination sequence T4 for Zeolite Code CFI.at n=40A033602
- Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*11^j.at n=8A038313
- Triangle read by rows whose (i,j)-th entry is binomial(i,j)*11^(i-j)*10^j.at n=7A038324
- Numerators of continued fraction convergents to sqrt(682).at n=4A042310