1702
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2736
- Proper Divisor Sum (Aliquot Sum)
- 1034
- 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
- 792
- Möbius Function
- -1
- Radical
- 1702
- Omega Function (Ω)
- 3
- 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
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Coordination sequence T2 for Zeolite Code MEI.at n=30A008147
- Coordination sequence T2 for Zeolite Code STI.at n=28A008235
- Expansion of 1/( Product_{j=0..5} (1-x^(2*j+1)) ).at n=56A008675
- a(0) = 1, a(n) = 17*n^2 + 2 for n>0.at n=10A010007
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=35A013583
- Number of distinct nonzero absolute values of Sum_{j=1..n} sigma_j * exp(i * Pi * j / n) where sigma_j = +- 1.at n=17A013914
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13).at n=56A017871
- Pseudoprimes to base 47.at n=25A020175
- Numbers k such that the continued fraction for sqrt(k) has period 26.at n=37A020365
- Expansion of Product_{m>=1} (1+x^m)^4.at n=10A022569
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = (natural numbers >= 3).at n=23A024306
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor(n/2).at n=23A024868
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = floor( n/2 ), s = natural numbers >= 2, t = natural numbers >= 3.at n=22A024869
- Coordination sequence T3 for Zeolite Code IFR.at n=29A024984
- s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (composite numbers).at n=15A025102
- a(n) = n*(n + 9).at n=37A028569
- Expansion of phi(x) / f(-x) in powers of x where phi(), f() are Ramanujan theta functions.at n=19A029552
- a(n) = Sum_{k divides 3^n} S(k), where S is the Kempner function A002034.at n=39A029714
- a(n) = a(n-1) + a(floor(n/2)), a(1) = 1.at n=37A033485
- Number of partitions satisfying (cn(0,5) = 0 and cn(1,5) = cn(4,5)).at n=40A036818