3174
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6636
- Proper Divisor Sum (Aliquot Sum)
- 3462
- 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
- 1012
- Möbius Function
- 0
- Radical
- 138
- Omega Function (Ω)
- 4
- 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
- 79
- 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
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=25A002653
- Numbers that are the sum of 10 positive 6th powers.at n=42A003366
- Powers of sqrt(6) rounded down.at n=9A017922
- Powers of fourth root of 6 rounded down.at n=18A018060
- Convolution of natural numbers >= 2 and natural numbers >= 3.at n=22A023545
- a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).at n=18A026060
- 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 36.at n=24A031534
- Concentric hexagonal numbers: floor(3*n^2/2).at n=46A032528
- a(n) = 6*n^2.at n=23A033581
- Coordination sequence T3 for Zeolite Code SBT.at n=45A033614
- a(n) = floor(T_(n+1)/T_(n)) where T_n is n-th tangential or "Zag" number (see A000182).at n=43A034972
- Number of partitions of n such that cn(1,5) < cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5).at n=74A036861
- Numbers n such that string 7,4 occurs in the base 10 representation of n but not of n-1.at n=34A044406
- Numbers n such that string 7,4 occurs in the base 10 representation of n but not of n+1.at n=34A044787
- Numbers k such that phi(k) = phi(k - phi(k)).at n=23A051487
- Numbers which are the sum of their proper divisors containing the digit 5.at n=5A059464
- a(1) = 1; thereafter a(n+1) = a(n) + product of nonzero digits of a(n).at n=47A063108
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 88 ).at n=24A063361
- usigma(n) = 2n + d(n), where d(n) is the number of divisors of n.at n=7A063829
- Numbers k such that sigma(core(k)) = tau(k) where core(k) is the squarefree part of k, tau(k) is the number of divisors of k, and sigma(k) is their sum.at n=27A069827