1912
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3600
- Proper Divisor Sum (Aliquot Sum)
- 1688
- 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
- 952
- Möbius Function
- 0
- Radical
- 478
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- Numbers of the form (p^2 - 1)/120 where p is 1 or prime.at n=43A002381
- a(n) = a(n-1) + (3+(-1)^n)*a(n-2)/2.at n=12A007068
- a(n) = 4*a(n-1) - 2*a(n-2) with a(0) = 1, a(1) = 4.at n=6A007070
- Coordination sequence T1 for Zeolite Code EUO.at n=27A008095
- Coordination sequence T8 for Zeolite Code EUO.at n=27A008103
- Coordination sequence T1 for Milarite.at n=27A008256
- Coordination sequence T1 for Moganite.at n=28A008258
- Coordination sequence T1 for Zeolite Code ATO.at n=29A008265
- Coordination sequence T3 for Zeolite Code -PAR.at n=31A009857
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=40A011913
- Expansion of e.g.f. cos(tan(x)+sin(x)) (even powers only).at n=4A012940
- Expansion of e.g.f.: exp(tanh(x)+sinh(x))=1+2*x+4/2!*x^2+7/3!*x^3+8/4!*x^4+9/5!*x^5...at n=8A013153
- Coordination sequence T4 for Zeolite Code TER.at n=29A016436
- Numbers k such that the continued fraction for sqrt(k) has period 32.at n=25A020371
- a(n) = n*(15*n - 1)/2.at n=16A022272
- a(n) = [ (2nd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ], where S(n) = {first n+1 positive integers congruent to 2 mod 3}.at n=50A024398
- Coordination sequence T5 for Zeolite Code MWW.at n=29A024990
- Number of distinct prime signatures of the positive integers up to 2^n.at n=33A025488
- Irregular triangular array T read by rows: T(n,0) = 1 for i >= 0, T(1,1) = 1,T(2,1) = 1, T(2,2) = 2, T(2,3) = 1, T(2,4) = 1 and for n >= 3, T(n,1) = n-1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k=2,...,n+1, and T(n, k+2) = T(n-1, k) + T(n-1, k+1).at n=68A026148
- a(n) = T(n,n), where T is the array in A026148.at n=9A026151