1745
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2100
- Proper Divisor Sum (Aliquot Sum)
- 355
- 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
- 1392
- Möbius Function
- 1
- Radical
- 1745
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of 2n with all subsums different from n.at n=16A006827
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=33A008137
- Number of increasing sequences of star chain type with maximal element n.at n=14A008927
- Expansion of sin(log(1+x)/exp(x)).at n=6A009467
- Numbers k such that the continued fraction for sqrt(k) has period 7.at n=15A010338
- a(n) = Sum_{k=1..n} k*phi(k).at n=19A011755
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=38A011911
- Number of SiC polytypes that repeat after 2n layers.at n=25A011959
- Quadruples of different integers from [ 1,n ] with no global factor.at n=15A015622
- Quadruples of different integers from [ 2,n ] with no global factor.at n=15A015627
- Positive integers n such that 2^n == 2^5 (mod n).at n=54A015925
- Numbers k such that Fibonacci(k) == 5 (mod k).at n=51A023176
- Convolution of Lucas numbers and (1, p(1), p(2), ...).at n=10A023617
- Numbers that are the sum of 3 nonzero squares in exactly 9 ways.at n=40A025329
- Numbers that are the sum of 3 distinct nonzero squares in exactly 9 ways.at n=25A025347
- Index of 7^n within the sequence of the numbers of the form 4^i*7^j.at n=49A025722
- Coordination sequence T1 for Zeolite Code SAT.at n=30A027373
- Numbers whose square is palindromic in base 12.at n=16A029737
- Convolution of Thue-Morse sequence A001285 with primes.at n=25A029888
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 2.at n=44A031415