553
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 640
- Proper Divisor Sum (Aliquot Sum)
- 87
- 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
- 468
- Möbius Function
- 1
- Radical
- 553
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 136
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Names
- German
- fünfhundertdreiundfünfzig· ordinal: fünfhundertdreiundfünfzigste
- English
- five hundred fifty-three· ordinal: five hundred fifty-third
- Spanish
- quinientos cincuenta y tres· ordinal: 553º
- French
- cinq cent cinquante-trois· ordinal: cinq cent cinquante-troisième
- Italian
- cinquecentocinquantatre· ordinal: 553º
- Latin
- quingenti quinquaginta tres· ordinal: 553.
- Portuguese
- quinhentos e cinquenta e três· ordinal: 553º
Appears in sequences
- Number of sublattices of index n in generic 3-dimensional lattice.at n=22A001001
- Expansion of 1/((1+x)(1-x)^8).at n=5A001779
- Central polygonal numbers: a(n) = n^2 - n + 1.at n=24A002061
- Generalized sum of divisors function.at n=23A002130
- Length of shortest (or optimal) Golomb ruler with n marks.at n=25A003022
- Numbers that are the sum of 7 positive 5th powers.at n=17A003352
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=13A003452
- Divisors of 2^39 - 1.at n=3A003545
- Sum of remainders of n mod k, for k = 1, 2, 3, ..., n.at n=56A004125
- Divisible only by primes congruent to 7 mod 8.at n=34A004628
- Expansion of x*(1+x^2+x^4)/((1-x)*(1-x^2)*(1-x^3)).at n=47A004652
- Related to representations as sums of Fibonacci numbers.at n=13A006133
- Minimum diameter of an integral set of n points in the plane, not all on a line.at n=31A007285
- Number of partitions of n into distinct and pairwise relatively prime parts.at n=59A007360
- Inverse Moebius transform of triangular numbers.at n=27A007437
- a(n) is the smallest positive number such that the sum of A001032(n) consecutive squares starting with a(n)^2 is a square.at n=21A007475
- Cardinalities of Sperner families on 1,...,n.at n=6A007695
- Coordination sequence T1 for Zeolite Code AFS.at n=18A008023
- Coordination sequence T1 for Zeolite Code BPH.at n=18A008055
- Coordination sequence T1 for Zeolite Code CHA.at n=18A008066