3730
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6732
- Proper Divisor Sum (Aliquot Sum)
- 3002
- 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
- 1488
- Möbius Function
- -1
- Radical
- 3730
- 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
- 69
- 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
- Coordination sequence T1 for Zeolite Code HEU.at n=40A008116
- Coordination sequence T3 for Zeolite Code NON.at n=37A008214
- Coordination sequence T1 for Zeolite Code VFI.at n=47A008245
- Coordination sequence T2 for Zeolite Code VFI.at n=47A008246
- Coordination sequence T1 for feldspar.at n=41A008254
- Coordination sequence for alpha-Mn, Position Mn1.at n=16A009950
- Numbers n such that phi(n) * sigma(n) + 9 is a perfect square.at n=38A015728
- Expansion of 1/((1-x)*(1-9*x)*(1-10*x)).at n=3A016261
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=13A020362
- a(n) = sum of the numbers between the two n's in A026370.at n=31A026373
- Theta series of 6-dimensional 11-modular even lattice of minimal norm 4.at n=36A029586
- Numbers k such that 189*2^k+1 is prime.at n=20A032471
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+5 or 16k-5.at n=45A036022
- Differences of A038011.at n=0A038012
- Denominators of continued fraction convergents to sqrt(634).at n=8A042217
- Denominators of continued fraction convergents to sqrt(937).at n=9A042813
- Numbers having three 2's in base 8.at n=27A043431
- Numbers n such that string 3,0 occurs in the base 10 representation of n but not of n+1.at n=41A044743
- Number of equilateral triangles formed out of matches that can be found in a hexagonal chunk of side length n in hexagonal array of matchsticks.at n=10A045949
- Numbers with exactly 3 distinct palindromic prime factors.at n=44A046401