1770
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 2550
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 464
- Möbius Function
- 1
- Radical
- 1770
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 117
- 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
- Hexagonal numbers: a(n) = n*(2*n-1).at n=30A000384
- Number of Hamiltonian paths from NW to SW corners in an n X n grid.at n=5A000532
- Generating function = Product_{m>=1} 1/(1 - x^m)^2; a(n) = number of partitions of n into parts of 2 kinds.at n=13A000712
- Binomial coefficient C(5n,n-10).at n=2A004352
- Binomial coefficient C(6n,n-8).at n=2A004363
- Tumbling distance for n-input mappings with 2 steps.at n=5A005947
- McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).at n=26A007258
- Largest number not the sum of distinct n-th-order polygonal numbers.at n=10A007419
- Coordination sequence T2 for Zeolite Code JBW.at n=28A008122
- Coordination sequence T7 for Zeolite Code MTT.at n=26A008195
- a(n) = n OR n^2 (applied to ternary expansions).at n=41A008467
- a(n) = prime(n)*(prime(n+1)-1)/2.at n=16A014303
- Aliquot sequence starting at 1134.at n=1A014365
- Even triangular numbers.at n=29A014494
- a(n) = 2*n*(4*n - 1).at n=15A014635
- Numbers n such that phi(n) | sigma_7(n).at n=46A015765
- Binomial coefficients C(n,58).at n=2A017722
- Binomial coefficients C(60,n).at n=2A017776
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11).at n=30A017833
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14).at n=73A017890