1524
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3584
- Proper Divisor Sum (Aliquot Sum)
- 2060
- 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
- 504
- Möbius Function
- 0
- Radical
- 762
- Omega Function (Ω)
- 4
- 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
- 109
- 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) = solution to the postage stamp problem with 3 denominations and n stamps.at n=26A001208
- Squares written in base 9.at n=33A002442
- Numbers that are the sum of 5 positive 6th powers.at n=12A003361
- Numbers that are the sum of at most 5 nonzero 6th powers.at n=42A004856
- 1 + (sum of first n odd primes - n)/2.at n=39A005521
- Discriminants of totally real cubic fields.at n=45A006832
- Numbers k such that sigma(x) = k has exactly 3 solutions.at n=42A007372
- Coordination sequence T1 for Zeolite Code LTL.at n=29A008138
- Coordination sequence T1 for Moganite.at n=25A008258
- a(n) = n OR n^2 (applied to ternary expansions).at n=38A008467
- Numbers k such that the geometric mean of phi(k) and sigma(k) is an integer.at n=24A011257
- Number of lines through exactly 5 points of an n X n grid of points.at n=25A018812
- Records in A019294, number of iterations of the sigma function to reach a multiple of the starting value.at n=21A019277
- Coordination sequence T1 for Zeolite Code CGF.at n=27A019451
- Pisot sequence T(7,10), a(n) = floor(a(n-1)^2/a(n-2)).at n=25A020752
- Least k such that the first k terms of the Kolakoski sequence (A000002) contain n more 1's than 2's.at n=9A022327
- a(n) = a(n-1) + c(n-1) for n >= 2, a( ) increasing, given a(1)=5; where c( ) is complement of a( ).at n=49A022937
- a(n) = Sum_{k=1..n} k*floor(n/k); also Sum_{k=1..n} sigma(k) where sigma(n) = sum of divisors of n (A000203).at n=42A024916
- a(n) = dot_product(1,2,...,n)*(6,7,...,n,1,2,3,4,5).at n=12A026046
- Golc sequence in base 6. Left to right concatenation of n,int(log_6(n)),int(log_6(int(log_6(n)))),... in base6.at n=41A028436