3657
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5184
- Proper Divisor Sum (Aliquot Sum)
- 1527
- 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
- 2288
- Möbius Function
- -1
- Radical
- 3657
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 118
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Number of paraffins C_n H_{2n-1} XYZ with n carbon atoms.at n=8A000640
- Coordination sequence T4 for Zeolite Code TON.at n=38A008244
- Pisot sequence T(14,23), a(n)=[ a(n-1)^2/a(n-2) ].at n=12A010922
- Number of 2's in n-th term of A022470.at n=32A022473
- Positive numbers k such that k and 2*k are anagrams in base 8 (written in base 8).at n=14A023073
- a(n) = position of 3*n^2 in sequence A025051 (numbers of form j*k + k*i + i*j, without repetitions, where 1 <= i <= j <= k).at n=34A025056
- a(n) = 2*n^2 + 3*n + 3.at n=42A033816
- Sets of 4 consecutive numbers with equal number of divisors.at n=6A039665
- Denominators of continued fraction convergents to sqrt(60).at n=8A041105
- Numerators of continued fraction convergents to sqrt(654).at n=7A042256
- Numbers having three 1's in base 8.at n=27A043427
- a(n)=T(n,2), array T as in A049735.at n=34A049745
- Numbers k such that 231*2^k-1 is prime.at n=37A050867
- Coordination sequence T2 for Zeolite Code SFE.at n=40A057318
- McKay-Thompson series of class 31A for Monster.at n=29A058628
- Numbers k such that the smoothly undulating palindromic number(18*10^k - 81)/99 is a prime.at n=5A062214
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 47 ).at n=40A063320
- Terms in the decimal expansion of 1/(7*5^n) before the block of decimals 142857 (the period of 1/7) appears.at n=7A067703
- a(n) = s(2*n) where s(0) = 0, s(1) = s(2) = 1, s(n) = abs(Sum_{k=2..n-1} (-1)^k * s(n-k) * s(k)).at n=39A072851
- Numbers n such that the sum of squarefree numbers from the smallest prime factor of n to the largest prime factor of n is a square.at n=37A074253