4060
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 6020
- 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
- 2030
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 38
- 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
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=28A000292
- Number of compositions of n into 4 ordered relatively prime parts.at n=27A000742
- Sum of the first n even squares: a(n) = 2*n*(n+1)*(2*n+1)/3.at n=14A002492
- Number of unlabeled trivalent (or cubic) connected simple graphs with 2n nodes.at n=8A002851
- Binomial coefficient C(2n,n-12).at n=3A004318
- Binomial coefficient C(3n,n-7).at n=3A004325
- Binomial coefficient C(5n,n-3).at n=3A004345
- Binomial coefficient C(6n,n-2).at n=3A004357
- Dodecahedral numbers: a(n) = n*(3*n - 1)*(3*n - 2)/2.at n=10A006566
- a(n) = Sum_{k=1..n-1} lcm(k,n-k).at n=29A006580
- 'Eban' numbers (the letter 'e' is banned!).at n=55A006933
- Successive integers produced by Conway's PRIMEGAME.at n=35A007542
- Coordination sequence T3 for Zeolite Code AEL.at n=42A008006
- Coordination sequence T1 for Zeolite Code ATS.at n=46A008038
- Coordination sequence for A_4 lattice.at n=7A008383
- Coordination sequence for 4-dimensional I-centered cubic orthogonal lattice.at n=10A008532
- Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay).at n=44A008610
- Coordination sequence T3 for Zeolite Code RUT.at n=42A009899
- Binomial coefficient C(30,n).at n=27A010946
- Binomial coefficient C(30,n).at n=3A010946