4128
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 11088
- Proper Divisor Sum (Aliquot Sum)
- 6960
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1344
- Möbius Function
- 0
- Radical
- 258
- Omega Function (Ω)
- 7
- 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
- 126
- 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
- a(n) = (2^n + 2^[ n/2 ] )/2.at n=11A001445
- a(n) = n*(4*n+1).at n=32A007742
- Coordination sequence T1 for Zeolite Code LOV.at n=43A008134
- Coordination sequence T1 for Zeolite Code PAU.at n=47A008219
- Smallest k>2^n such that 2^k == 2^n (mod k).at n=11A015938
- a(n) = 8^n + 2^(n+1).at n=4A020530
- Number of (undirected) Hamiltonian paths in n-Moebius ladder.at n=16A020875
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ n/k ] ].at n=33A024932
- Self-convolution of array T given by A026009.at n=8A027287
- Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^4.at n=22A028579
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^3.at n=46A028627
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^4.at n=17A028644
- Theta series of 6-dimensional 8-modular lattice of minimal norm 4.at n=28A029713
- Numbers whose set of base-11 digits is {1,3}.at n=23A032918
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5) <= cn(1,5).at n=56A036854
- Smallest k for which k, 2k, ... n*k all contain the digit 2.at n=9A039933
- Smallest k for which k, 2k, ... n*k all contain the digit 2.at n=8A039933
- Denominators of continued fraction convergents to sqrt(65).at n=3A041113
- a(n)=A033002(n)/5.at n=42A043308
- Numbers having three 0's in base 8.at n=17A043423