529
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 3
- Divisor Sum
- 553
- Proper Divisor Sum (Aliquot Sum)
- 24
- 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
- 506
- Möbius Function
- 0
- Radical
- 23
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- yes
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 30
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- no
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- fünfhundertneunundzwanzig· ordinal: fünfhundertneunundzwanzigste
- English
- five hundred twenty-nine· ordinal: five hundred twenty-ninth
- Spanish
- quinientos veintinueve· ordinal: 529º
- French
- cinq cent vingt-neuf· ordinal: cinq cent vingt-neufième
- Italian
- cinquecentoventinove· ordinal: 529º
- Latin
- quingenti viginti novem· ordinal: 529.
- Portuguese
- quinhentos e vinte e nove· ordinal: 529º
Appears in sequences
- Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts.at n=32A000124
- Number of points of norm <= n^2 in square lattice.at n=13A000328
- n followed by n^2.at n=45A000463
- Squares that are not the sum of 2 nonzero squares.at n=16A000548
- Numbers k such that (1,k) is "good".at n=13A000696
- Maximal number of states in the minimal deterministic finite automaton accepting a language over a binary alphabet consisting of some words of length n.at n=11A000802
- Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.at n=25A000960
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=35A001033
- Squares of primes.at n=8A001248
- Squares of numbers of trees.at n=8A001256
- Perfect powers: m^k where m > 0 and k >= 2.at n=31A001597
- Powerful numbers, definition (1): if a prime p divides n then p^2 must also divide n (also called squareful, square full, square-full or 2-powerful numbers).at n=38A001694
- Genus of modular group Gamma(n) = genus of modular curve Chi(n).at n=26A001767
- a(n+6) = -a(n+5) + a(n+4) + 3a(n+3) + a(n+2) - a(n+1) - a(n). a(n) = sign(n) if abs(n)<=3.at n=22A001945
- Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n^2/4).at n=46A002620
- Squares and cubes.at n=29A002760
- Numbers that are the sum of 4 nonzero 4th powers.at n=25A003338
- Sum of remainders of n mod k, for k = 1, 2, 3, ..., n.at n=54A004125
- Pentagonal numbers written backwards.at n=25A004163
- a(n) = round(100*log_2(n)).at n=38A004263