1747
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1748
- 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
- 1746
- Möbius Function
- -1
- Radical
- 1747
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 272
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of trees with n nodes, 2 of which are labeled.at n=7A000243
- Primes p of the form 3k+1 such that sum_{x=1..p} cos(2*Pi*x^3/p) < -sqrt(p).at n=26A000923
- Number of partitions of n into at most 5 parts.at n=40A001401
- Numbers k such that k-6, k, and k+6 are primes.at n=43A006489
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=21A006562
- Coordination sequence T3 for Zeolite Code DAC.at n=26A008069
- Coordination sequence T4 for Zeolite Code DAC.at n=26A008070
- Coordination sequence T3 for Zeolite Code DFO.at n=32A009877
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).at n=16A011935
- From table of maximal epacts e(p) and corresponding primes p, for x_1=2, x_{m+1} = (x_m)^2+1; sequence gives p.at n=18A014424
- Number of triples (i,j,k) with 1 <= i < j < k <= n and gcd(i,j,k) = 1.at n=23A015616
- Initial pile sizes which guarantee a win for player 2 in a certain variant of Nim.at n=30A016741
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=1A020393
- Index of 5^n within sequence of numbers of form 3^i*5^j.at n=48A022338
- Primes that remain prime through 2 iterations of function f(x) = x + 6.at n=44A023241
- Primes that remain prime through 2 iterations of function f(x) = 4x + 3.at n=24A023250
- Primes that remain prime through 2 iterations of function f(x) = 4x + 9.at n=36A023251
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 6.at n=47A023254
- Primes that remain prime through 2 iterations of function f(x) = 9x + 8.at n=26A023267
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=8A023281