1722
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4032
- Proper Divisor Sum (Aliquot Sum)
- 2310
- 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
- 480
- Möbius Function
- 1
- Radical
- 1722
- 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
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 104
- 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
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=40A000082
- Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1).at n=41A002378
- A generalized partition function.at n=12A002600
- a(n) = 2*n*(2*n-1).at n=21A002939
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=14A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=14A004965
- Number of unrooted triangulations with reflection symmetry of a hexagon with n internal nodes.at n=6A005507
- Number of n-node graphs not determined by their spectrum.at n=7A006608
- Giuga numbers: composite numbers n such that p divides n/p - 1 for every prime divisor p of n.at n=2A007850
- Coordination sequence T4 for Zeolite Code EMT.at n=34A008089
- a(n) = lcm(n, sigma(n)).at n=40A009242
- Coordination sequence T3 for Zeolite Code -WEN.at n=30A009864
- Coordination sequence T2 for Zeolite Code RSN.at n=27A009886
- A B_2 sequence: a(n) = least value such that sequence increases and pairwise sums of distinct elements are all distinct.at n=34A011185
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=33A011901
- Number of permutations in S_n with a certain property.at n=12A013498
- n*prevprime(n).at n=39A013637
- Positive nonsquare integers k such that each term of the regular continued fraction of sqrt(k) divides k.at n=40A013654
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16).at n=45A017865
- Powers of fourth root of 2 rounded down.at n=43A018048