3957
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5280
- Proper Divisor Sum (Aliquot Sum)
- 1323
- 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
- 2636
- Möbius Function
- 1
- Radical
- 3957
- Omega Function (Ω)
- 2
- 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
- 51
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951).at n=32A001522
- Coordination sequence T12 for Zeolite Code MFI.at n=40A008164
- If a, b in sequence, so is ab+5.at n=46A009304
- Coordination sequence T4 for Zeolite Code VET.at n=38A009905
- Powers of cube root of 12 rounded up.at n=10A018011
- Product of n with 666 is palindromic.at n=32A030094
- 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 40.at n=30A031538
- Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p*q where p and q are distinct primes.at n=41A039833
- Numbers whose base-4 representation contains exactly three 1's and three 3's.at n=18A045127
- Becomes prime after exactly 6 iterations of f(x) = sum of prime factors of x.at n=38A047825
- a(n)=[A*a(n-1)+B*a(n-2)+C]/p^r, where p^r is the highest power of p dividing [A*a(n-1)+B*a(n-2)+C], A=1.0001, B=1.0001, C=1.5, p=2.at n=21A053522
- Numbers k such that k, k+1 and k+2 are products of two primes.at n=43A056809
- Pinwheel numbers: a(n) = 2*n^2 + 6*n + 1.at n=43A059993
- Partial sums of A084570.at n=16A084569
- Numbers n such that n and n+1 are semiprimes with a semiprime number of 1's in their binary representation.at n=44A086097
- Numbers n such that n, n+2, n+4, n+6 are semiprimes.at n=34A092126
- Indices of primes in sequence defined by A(0) = 89, A(n) = 10*A(n-1) - 11 for n > 0.at n=10A101078
- a(n) = floor(sqrt(a(n-1)^2 + a(n-2)^2)), a(1)=10, a(2)=30.at n=22A104863
- Expansion of (1-4*x)/(1-x*(1-x)^3).at n=15A119306
- a(n) = a(n-1) + a(n-2) + a(n-3) - a(n-4) with a(0)=0, a(1)=1, a(2)=2 and a(3)=3.at n=16A135431