3736
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7020
- Proper Divisor Sum (Aliquot Sum)
- 3284
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1864
- Möbius Function
- 0
- Radical
- 934
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 87
- 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
- Coordination sequence T1 for Zeolite Code BRE.at n=40A008058
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=78A008302
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=76A008302
- a(n) = Sum_{k=0..n} T(k) where T(n) are the tribonacci numbers A000073.at n=14A008937
- Define the generalized Pisot sequence T(a(0),a(1)) by: a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n). This is T(4,8).at n=11A018921
- Numbers k such that Fib(k) == -21 (mod k).at n=33A023168
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=38A025405
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=41A025407
- Least term in period of continued fraction for sqrt(n) is 7.at n=9A031431
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 15.at n=27A031513
- Numbers whose base-3 representation Sum_{i=0..m} d(i)*3^i has d(m) < d(m-1) > d(m-2) < ...at n=34A032841
- Fibonacci-Pascal triangle read by rows.at n=60A036355
- T(n+5,5) with T as in A036355.at n=5A036684
- T(2n,n) with T as in A036355.at n=5A036692
- Numbers having three 1's in base 9.at n=28A043459
- A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1.at n=43A057547
- Coefficients in expansion of Sum_{n >= 1} x^n/(1-x^n)^4.at n=26A059358
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 49 ).at n=40A063322
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 73 ).at n=17A063346
- Numbers n such that n and 2^n end with the same two digits.at n=37A067865