4892
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8568
- Proper Divisor Sum (Aliquot Sum)
- 3676
- 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
- 2444
- Möbius Function
- 0
- Radical
- 2446
- Omega Function (Ω)
- 3
- 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
- 134
- 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
- Numbers that are the sum of 6 positive 6th powers.at n=35A003362
- Numbers that are the sum of 12 positive 7th powers.at n=29A003379
- Number of degenerate fanout-free Boolean functions of n variables using And, Or and Not gates.at n=5A005736
- Number of partitions satisfying cn(2,5) < cn(0,5) + cn(1,5) + cn(4,5) and cn(3,5) < cn(0,5) + cn(1,5) + cn(4,5).at n=30A039873
- a(n) = T(n,n-3), array T as in A047130.at n=7A047135
- Numbers k such that 74*2^k-1 is prime.at n=2A050413
- Composite n such that phi(n+2) = phi(n)+2.at n=46A056774
- Meandric numbers for a river (or directed line) crossing two perpendicular roads at n points, beginning in the (-,-) quadrant and ending in the (+,+) quadrant if n even, in the (+,-) quadrant if n odd.at n=10A076906
- 2*3*5*6*...*a(n) -+ 1 are primes, with a(n+1) > a(n).at n=30A087900
- Records in A091842.at n=6A091843
- a(n) = Sum_{i=0..n} i*L(i), where L = A000032.at n=11A097039
- Number of perfect rulers with length n.at n=44A103300
- Start with 1 and repeatedly reverse the digits and add 40 to get the next term.at n=37A118636
- a(0)=1, a(1)=2, a(2)=3, a(3)=5, a(4)=7, a(5)=10; a(n) = floor(a(n-1) + 1 + (a(n-2) + 1)/6) for n>=6.at n=48A119592
- A transform of the Motzkin numbers.at n=26A157143
- a(n), a(n+1), a(n+2), for n=5,8,11,... are respectively the numbers of representations of the integers 2^k-2, 2^k, 2^k+2, where k=(n+4)/3, by unordered sums of two odd primes not belonging to A158848.at n=36A158857
- Numbers n such that 9n^2 is a zeroless pandigital number.at n=3A162859
- Number of binary strings of length n with no substrings equal to 0001, 0100, or 0111.at n=15A164464
- Number of 4-step one space at a time bishop's tours on an n X n board summed over all starting positions.at n=13A187157
- Number of strictly increasing arrangements of 4 nonzero numbers in -(n+2)..(n+2) with sum zero.at n=27A188123