3742
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5616
- Proper Divisor Sum (Aliquot Sum)
- 1874
- 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
- 1870
- Möbius Function
- 1
- Radical
- 3742
- Omega Function (Ω)
- 2
- 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
- 131
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Sets with a congruence property.at n=14A002703
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17).at n=68A017893
- Ceiling of Gamma(n+8/9)/Gamma(8/9).at n=7A020109
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=10A020403
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=46A024833
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=13A027662
- 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 60.at n=12A031558
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=29A031794
- Shifts left 2 places under "DGK" (bracelet, element, unlabeled) transform.at n=18A032237
- Concatenation of n and n + 5 or {n,n+5}.at n=36A032610
- Coefficients arising in the enumeration of configurations of linear chains.at n=10A038746
- Denominators of continued fraction convergents to sqrt(19).at n=9A041029
- Numbers n such that 185*2^n-1 is prime.at n=16A050844
- a(n) = 5*a(n-1) - a(n-2) with a(0)=1, a(1)=7.at n=5A055271
- Numbers k such that k*2^m-1 is prime for exactly one exponent m in the range 0<=m<=k.at n=39A061157
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 87 ).at n=18A063360
- f-amicable numbers where f(n) = n-1.at n=5A066511
- Triangle T(n,d) (listed row-wise: T(1,1)=1, T(2,1)=1, T(2,2)=1, T(3,1)=2, T(3,2)=2, T(3,3)=1, ...) giving the number of n-edge general plane trees with root degree d that are fixed by the six-fold application of Catalan Automorphisms A057511/A057512 (Deep rotation of general parenthesizations/plane trees).at n=46A079222
- a(n) = (9*n^2 - 3*n + 2)/2.at n=29A080855
- Members of A000124 which are the arithmetic mean of two other members.at n=45A083510