7140
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 17052
- 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
- 1536
- Möbius Function
- 0
- Radical
- 3570
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 5
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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=34A000292
- Number of compositions of n into 4 ordered relatively prime parts.at n=33A000742
- Generalized Stirling numbers, [n+7,7]_3.at n=3A001714
- Sum of the first n even squares: a(n) = 2*n*(n+1)*(2*n+1)/3.at n=17A002492
- a(n) = 2*n*(2*n+1).at n=42A002943
- Numbers that occur 5 or more times in Pascal's triangle.at n=5A003015
- Binomial coefficient C(3n,n-9).at n=3A004327
- Binomial coefficient C(4n,n-6).at n=3A004336
- Binomial coefficient C(6n,n-3).at n=3A004358
- Denominators of Cauchy numbers of first type.at n=33A006233
- Dodecahedral numbers: a(n) = n*(3*n - 1)*(3*n - 2)/2.at n=12A006566
- Binomial coefficient C(36,n).at n=3A010952
- Binomial coefficient C(n,33).at n=3A010986
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=32A013593
- a(n) = 2*n*(4*n - 1).at n=30A014635
- Even tetrahedral numbers.at n=25A015220
- Number of 5-tuples of different integers from [ 1,n ] with no common factors among quadruples.at n=17A015644
- Number of 5-tuples of different integers from [ 2,n ] with no common factors among quadruples.at n=17A015645
- Third elementary symmetric function of 3,4,...,n+4.at n=4A024184
- Areas of right triangles with coprime integer sides.at n=35A024365