3371
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3372
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3370
- Möbius Function
- -1
- Radical
- 3371
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 74
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 475
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*phi^14), where phi is the golden ratio, A001622.at n=4A004929
- Coordination sequence T3 for Zeolite Code AET.at n=40A008009
- Coordination sequence T1 for Zeolite Code BRE.at n=38A008058
- Coordination sequence T1 for Zeolite Code MFS.at n=36A008173
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=31A011890
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12).at n=53A017861
- 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 T2 atom.at n=11A019180
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=5A020409
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=3, a(1)=11.at n=13A022410
- Primes that remain prime through 2 iterations of function f(x) = 4x + 3.at n=41A023250
- Primes that remain prime through 2 iterations of function f(x) = 9x + 8.at n=43A023267
- n^3*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position.at n=13A030653
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 57.at n=13A031555
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=6A031804
- Primes of the form x^2+74*y^2.at n=24A033248
- Primes of form x^2+83*y^2.at n=24A033253
- Multiplicity of highest weight (or singular) vectors associated with character chi_53 of Monster module.at n=50A034441
- Primes at which cusp form Delta_20 is not ordinary.at n=7A037950
- Coordination sequence T3 for Zeolite Code SFF.at n=38A038433
- Numerators of continued fraction convergents to sqrt(433).at n=6A041824