1647
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2480
- Proper Divisor Sum (Aliquot Sum)
- 833
- 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
- 1080
- Möbius Function
- 0
- Radical
- 183
- Omega Function (Ω)
- 4
- 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
- 135
- 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
- no
- Odd
- yes
Appears in sequences
- Crystal ball sequence for diamond.at n=12A007904
- Numbers k such that C(k,3) = C(x,3) + C(y,3) is solvable.at n=41A010330
- a(n) = floor( n*(n-1)*(n-2)/26 ).at n=36A011908
- Numbers k that divide s(k), where s(1)=1, s(j)=13*s(j-1)+j.at n=15A014861
- Numbers k such that k divides s(k), where s(1)=1, s(j) = s(j-1) + j*13^(j-1).at n=9A014953
- Numbers k such that k | 14^k + 1.at n=32A015965
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NES = NU-87 H4[Al4Si64O136].nH2O starting with a T3 atom.at n=10A019204
- a(n) = round( Gamma(n+1/5)/Gamma(1/5) ).at n=8A020040
- a(n) = floor( Gamma(n + 1/5)/Gamma(1/5) ).at n=8A020085
- a(n) = 12^n - n^4.at n=3A024144
- a(n) = position of n^3 + (n+1)^3 in A024670 (distinct sums of cubes of distinct positive integers).at n=48A024674
- Index of 6^n within the sequence of the numbers of the form 2^i*6^j.at n=35A025712
- Triangular array T read by rows: T(n,0)=T(n,n)=1 for n >= 0; for n >= 2 and 1<=k<=n-1, T(n,k)=T(n-1,k-1)+T(n-2,k-1)+T(n-1,k) if k=[ (n-1)/2 ] or k=[ n/2 ] or k=[ (n+2)/2 ], else T(n,k)=T(n-1,k-1)+T(n-1,k).at n=60A026714
- T(2n,n), T given by A026714.at n=5A026715
- T(n,[ n/2 ]), T given by A026714.at n=10A026720
- T(2n,n+3), T given by A026780.at n=4A026896
- a(n) = n^2 + n + 7.at n=40A027692
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.at n=20A032695
- Numbers whose base-13 expansion has no run of digits with length < 2.at n=20A033026
- Number of partitions of n into parts 5k+2 and 5k+3 with at least one part of each type.at n=59A035634