3752
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8160
- Proper Divisor Sum (Aliquot Sum)
- 4408
- 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
- 1584
- Möbius Function
- 0
- Radical
- 938
- Omega Function (Ω)
- 5
- 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
- 25
- 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) = 6*n^2 + 2 for n > 0, a(0)=1.at n=25A005897
- Number of strict 3rd-order maximal independent sets in path graph.at n=38A007384
- Coordination sequence T3 for Zeolite Code EUO.at n=38A008098
- Coordination sequence T1 for Zeolite Code NAT.at n=41A008203
- Expansion of e.g.f.: cosh(log(1+x)/cosh(x)).at n=8A009138
- If a, b in sequence, so is ab+8.at n=21A009331
- Coordination sequence for NiAs(1), As position.at n=25A009943
- Expansion of e.g.f. arcsinh(arctan(x) * exp(x)).at n=7A012414
- Numbers n such that n and n+1 are differences between 2 positive cubes in at least one way.at n=7A038594
- Multiples of 4 that are the difference of two positive cubes.at n=43A038849
- Multiples of 8 that are the difference of two positive cubes.at n=33A038850
- Numbers ending with '2' that are the difference of two positive cubes.at n=12A038857
- Numbers whose base-5 representation contains exactly three 0's and two 1's.at n=40A045171
- T(n,n+1), array T as in A047089.at n=7A047095
- Cubic star numbers: a(n) = n^3 + 4*Sum_{i=0..n-1} i^2.at n=12A051673
- a(n) = 4*n^2 - 3*n + 1.at n=31A054552
- Number of nonnegative integer 2 X 2 matrices with no zero rows or columns and with sum of elements equal to n, up to row and column permutation.at n=41A054974
- n*M127 - 1 is prime, where M127 = 2^127 - 1.at n=34A057441
- A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1.at n=45A057547
- Symmetric totally balanced binary sequences: those terms of A014486 which are equal to their reversed complement.at n=37A061855