1705
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2304
- Proper Divisor Sum (Aliquot Sum)
- 599
- 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
- 1200
- Möbius Function
- -1
- Radical
- 1705
- 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
- yes
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 135
- 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
- no
- Odd
- yes
Appears in sequences
- Tribonacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) for n >= 3 with a(0) = a(1) = 0 and a(2) = 1.at n=15A000073
- Convolution of A000203 with itself.at n=14A000385
- 4-dimensional pyramidal numbers: a(n) = (3*n+1)*binomial(n+2, 3)/4. Also Stirling2(n+2, n).at n=10A001296
- a(n) is the number of c-nets with n+1 vertices and 2n edges, n >= 1.at n=6A001506
- The number of superpositions of cycles of order n of the groups S_3 and D_n.at n=4A003225
- Divisors of 2^20 - 1.at n=27A003529
- Divisors of 2^40 - 1.at n=39A003546
- Numbers k such that 10*3^k - 1 is prime.at n=35A005542
- 12-gonal (or dodecagonal) pyramidal numbers: a(n) = n*(n+1)*(10*n-7)/6.at n=10A007587
- Coordination sequence T1 for Zeolite Code ERI and OFF.at n=30A008093
- Expansion of (1+x^7)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=48A008768
- Expansion of (1+x^12)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=50A008773
- Stirling numbers of second kind S2(12,n).at n=9A011561
- Number of 3's in partitions of n into distinct parts.at n=50A015737
- Number of partitions of n into distinct parts, none being 3.at n=48A015745
- Positive integers n such that 2^n == 2^5 (mod n).at n=53A015925
- Numerator of sum of -2nd powers of divisors of n.at n=47A017667
- Expansion of 1/(1 - x^4 - x^5 - x^6 - x^7).at n=35A017829
- Pseudoprimes to base 32.at n=25A020160
- Pseudoprimes to base 56.at n=20A020184