1506
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
- 8
- Divisor Sum
- 3024
- Proper Divisor Sum (Aliquot Sum)
- 1518
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 500
- Möbius Function
- -1
- Radical
- 1506
- Omega Function (Ω)
- 3
- 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
- 21
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = 2*(2n-1)!!-(n-1)!*2^(n-1), where (2n-1)!! is A001147(n).at n=4A000779
- Numbers which are the sum of 3 nonzero 4th powers.at n=39A003337
- Number of minimal covers of an n-set that have exactly one point which appears in more than one set in the cover.at n=4A003466
- a(n) = ceiling(1000*log_10(n)).at n=31A004227
- 5!(2n-6)!/n!(n-1)! is an integer.at n=15A004785
- Number of 3-covers of an unlabeled n-set.at n=10A005783
- Number of factorization patterns of polynomials of degree n over F_4.at n=14A006169
- 4-dimensional analog of centered polygonal numbers.at n=7A006323
- Stopping times.at n=10A007186
- Coordination sequence T2 for Zeolite Code MEP.at n=23A008158
- Coordination sequence for FeS2-Marcasite, Fe position.at n=19A009955
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/29 ).at n=16A011939
- Numbers k such that phi(k) | sigma_10(k).at n=12A015768
- Coordination sequence T7 for Zeolite Code TER.at n=26A016439
- a(n) = n*(21*n-1)/2.at n=12A022278
- Position of 2*n^2 in A000404 (sums of 2 nonzero squares).at n=51A024517
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = A014306.at n=27A025110
- Index of 5^n within the sequence of the numbers of the form 4^i*5^j.at n=50A025706
- Index of 8^n within the sequence of the numbers of the form 6^i*8^j.at n=50A025730
- T(2n+1,n+4), T given by A026769.at n=4A026890