3643
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3644
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3642
- Möbius Function
- -1
- Radical
- 3643
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 162
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 510
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of two-rowed partitions of length 3.at n=29A001993
- Numbers that are the sum of 4 positive 5th powers.at n=42A003349
- Coordination sequence T2 for Zeolite Code AWW.at n=43A008046
- Coordination sequence T2 for Zeolite Code MTN.at n=36A008187
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=46A011907
- From table of maximal epacts e(p) and corresponding primes p, for x_0=2, x_{m+1} = (x_m)^2-1; sequence gives p.at n=24A014426
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=25A020385
- a(n) = [ a(n-1)/a(1) ] + [ a(n-3)/a(3) ] + [ a(n-5)/a(5) ] + ..., for n >= 3.at n=34A022872
- Convolution of Fibonacci numbers and A000201.at n=13A023611
- a(n) = sum of the numbers between the two n's in A026366.at n=31A026369
- 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 59.at n=15A031557
- Lower prime of a pair of consecutive primes having a difference of 16.at n=11A031934
- Concatenation of n and n+7.at n=35A032612
- Primes that are concatenations of n with n + 7.at n=5A032630
- Alternating sum transform (PSumSIGN) of A000975.at n=12A034299
- Partial sums of primes congruent to 5 mod 6.at n=28A038361
- Coordination sequence T3 for Zeolite Code ESV.at n=40A038412
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=29A038543
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5).at n=27A039848
- Denominators of continued fraction convergents to sqrt(753).at n=10A042451