3864
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 11520
- Proper Divisor Sum (Aliquot Sum)
- 7656
- 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
- 1056
- Möbius Function
- 0
- Radical
- 966
- Omega Function (Ω)
- 6
- 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
- 25
- Smith Number
- yes
- 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) = round(n*phi^12), where phi is the golden ratio, A001622.at n=12A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=12A004967
- Coordination sequence T2 for Zeolite Code AEI.at n=47A008002
- Coordination sequence T4 for Zeolite Code AFO.at n=41A008018
- Coordination sequence T2 for Zeolite Code APC.at n=43A008033
- Coordination sequence T5 for Zeolite Code DDR.at n=39A008075
- Coordination sequence T2 for Zeolite Code RTH.at n=43A009894
- Coordination sequence T5 for Zeolite Code VET.at n=37A009906
- Expansion of e.g.f.: exp(sin(x)-arctanh(x))=1-3/3!*x^3-23/5!*x^5+90/6!*x^6-721/7!*x^7...at n=8A013388
- cosh(sin(x)-arctanh(x))=1+90/6!*x^6+3864/8!*x^8+326214/10!*x^10...at n=4A013394
- sec(sin(x)-arctanh(x))=1+90/6!*x^6+3864/8!*x^8+326214/10!*x^10...at n=4A013395
- Theta series of A*_6 lattice.at n=47A023918
- a(n) = (d(n)-r(n))/5, where d = A026054 and r is the periodic sequence with fundamental period (3,3,0,0,4).at n=43A026056
- a(n) = sum of the numbers between the two n's in A026346.at n=40A026349
- a(n) = A027011(2n, n+4).at n=3A027015
- T(n, 2*n-5), T given by A027960.at n=11A027967
- Numbers having period-2 6-digitized sequences.at n=5A031357
- a(n) = n*(2*n+5)*(2*n+7).at n=8A035329
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 5).at n=54A035578
- Coordination sequence T7 for Zeolite Code SFF.at n=41A038431