3780
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 9660
- 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
- 864
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- 38
- 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
- Expansion of e.g.f. exp(-x^4/4)/(1-x).at n=7A000138
- a(n) is the number of integers m which take n steps to reach 1 in '3x+1' problem.at n=37A005186
- Number of n-step walks on square lattice in the first quadrant which finish at distance n-3 from the x-axis.at n=17A005564
- Unitary harmonic numbers (those for which the unitary harmonic mean is an integer).at n=8A006086
- Number of free subsets of multiplicative group of GF(2^n).at n=12A007230
- Coordination sequence T8 for Zeolite Code PAU.at n=45A008226
- Expansion of e.g.f. cos(tan(x)*log(1+x)).at n=7A009077
- Coordination sequence T1 for Zeolite Code WEI.at n=44A009917
- Numbers k where A011776(k) grows.at n=34A011778
- Expansion of e.g.f.: sech(tan(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6+3780/7!*x^7...at n=7A012360
- Expansion of e.g.f.: cos(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6+3780/7!*x^7...at n=7A012702
- Expansion of e.g.f.: sech(arctanh(x)*log(x+1))=1-12/4!*x^4+60/5!*x^5-570/6!*x^6...at n=7A012708
- sin(log(x+1)-arctanh(x))=-1/2!*x^2-6/4!*x^4-105/6!*x^6-3780/8!*x^8...at n=3A013294
- -arcsinh(log(x+1)-arctanh(x))=1/2!*x^2+6/4!*x^4+105/6!*x^6+3780/8!*x^8...at n=4A013300
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.at n=33A015708
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite DDR = Deca-dodecasil 3R[Si120O240]qR starting with a T3 atom.at n=11A019111
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MOR = Mordenite Na8[Al8Si40O96].24H2O starting with a T3 atom.at n=11A019181
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=29A020333
- Let a,b,c,...k be all divisors of n; a(n) = (a+1)*(b+1)*...*(k+1).at n=33A020696
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(3).at n=38A022769