1729
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2240
- Proper Divisor Sum (Aliquot Sum)
- 511
- 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
- 1296
- Möbius Function
- -1
- Radical
- 1729
- 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
- yes
- 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
- yes
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=19A000297
- Deceptive nonprimes: composite numbers k that divide the repunit R_{k-1}.at n=5A000864
- Number of sublattices of index n in generic 3-dimensional lattice.at n=32A001001
- a(n) = n^3 + 1.at n=13A001093
- Taxi-cab numbers: sums of 2 cubes in more than 1 way.at n=0A001235
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=13A001239
- Number of partitions of n into at most 6 parts.at n=33A001402
- Fermat pseudoprimes to base 2, also called Sarrus numbers or Poulet numbers.at n=5A001567
- Genus of modular group Gamma(n) = genus of modular curve Chi(n).at n=40A001767
- Expansion of 1/((1-x)^4*(1+x)).at n=25A002623
- Carmichael numbers: composite numbers k such that a^(k-1) == 1 (mod k) for every a coprime to k.at n=2A002997
- a(n) = a(n-1) + 2*a(n-3).at n=14A003476
- Number of index n subgroups of modular group PSL_2(Z).at n=12A005133
- a(n) = n*(n+1)*(n+2)*(n+7)/24.at n=12A005582
- Centered cube numbers: n^3 + (n+1)^3.at n=9A005898
- Pseudoprimes to base 3.at n=8A005935
- Pseudoprimes to base 5.at n=6A005936
- Pseudoprimes to base 6.at n=9A005937
- Pseudoprimes to base 10.at n=12A005939
- x^3 + n*y^3 = 1 is solvable.at n=38A005988