1760
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 4536
- Proper Divisor Sum (Aliquot Sum)
- 2776
- 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
- 640
- Möbius Function
- 0
- Radical
- 110
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 117
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of ways of writing n as a sum of 12 squares.at n=3A000145
- Boustrophedon transform of partition numbers 1, 1, 1, 2, 3, 5, 7, ...at n=7A000733
- a(n) = least value of m for which Liouville's function A002819(m) = -n.at n=48A002053
- Numbers not of form p + 2^x + 2^y.at n=38A006286
- Numbers k such that sigma(x) = k has exactly 3 solutions.at n=47A007372
- Smallest k such that phi(x) = k has exactly n solutions, n>=2.at n=22A007374
- Coordination sequence T3 for Zeolite Code LIO.at n=29A008131
- Theta series of D*_5 lattice.at n=61A008422
- Dates of accession of the Georges to the English throne.at n=2A008744
- Smallest k such that phi(x) = k has exactly n solutions, n>=0 with Carmichael conjecture.at n=24A014573
- Expansion of 1/((1-2*x)*(1-6*x)*(1-8*x)).at n=3A016305
- Initial pile sizes which guarantee a win for player 2 in a certain variant of Nim.at n=32A016741
- a(n) = n*(29*n + 1)/2.at n=11A022287
- Fibonacci sequence beginning 0, 32.at n=10A022366
- n-th 8k+1 prime plus n-th 8k+7 prime.at n=34A022761
- n-th 8k+3 prime plus n-th 8k+5 prime.at n=40A022763
- a(n) = Sum_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=a(3)=2 and a(2)=1.at n=10A024959
- Numbers that are the sum of 4 nonzero squares in exactly 3 ways.at n=41A025359
- Number of partitions of n that do not contain 3 as a part.at n=28A027337
- Sequence satisfies T^2(a)=a, where T is defined below.at n=32A027593