4050
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 11253
- Proper Divisor Sum (Aliquot Sum)
- 7203
- 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
- 1080
- Möbius Function
- 0
- Radical
- 30
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 157
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = 2*n^2.at n=45A001105
- 'Eban' numbers (the letter 'e' is banned!).at n=51A006933
- Some permutation of digits is a factorial number.at n=40A007926
- Some nontrivial permutation of digits is a factorial number.at n=34A007927
- Coordination sequence T2 for Zeolite Code EDI.at n=45A008085
- Coordination sequence T3 for Zeolite Code FER.at n=39A008108
- Coordination sequence for MgNi2, Position Ni2.at n=16A009932
- Coordination sequence for NiAs(2), As position.at n=30A009945
- Expansion of 1/((1-x)*(1-3*x)*(1-5*x)*(1-12*x)).at n=3A021484
- a(n) = n*(13*n - 1)/2.at n=25A022270
- Every run of digits of n in base 5 has length 2.at n=24A033003
- Every run of digits of n in base 9 has length 2.at n=40A033007
- Coordination sequence for 45-dimensional cubic lattice.at n=2A035740
- Coordination sequence for C_45 lattice.at n=1A035782
- Number of partitions of n into parts not of forms 4*k+2, 20*k, 10*k+5.at n=44A036026
- Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*10^j.at n=16A038228
- Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*3^j.at n=19A038305
- Number of partitions satisfying cn(0,5) + cn(1,5) < cn(2,5) + cn(3,5) and cn(0,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=33A039884
- Internal digits of n^2 include digits of n as subsequence.at n=14A046834
- Numbers k such that the number of odd divisors of k is an odd divisor of k.at n=40A049439