557
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 558
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 556
- Möbius Function
- -1
- Radical
- 557
- Omega Function (Ω)
- 1
- 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
- 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
- 43
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 102
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- fünfhundertsiebenundfünfzig· ordinal: fünfhundertsiebenundfünfzigste
- English
- five hundred fifty-seven· ordinal: five hundred fifty-seventh
- Spanish
- quinientos cincuenta y siete· ordinal: 557º
- French
- cinq cent cinquante-sept· ordinal: cinq cent cinquante-septième
- Italian
- cinquecentocinquantasette· ordinal: 557º
- Latin
- quingenti quinquaginta septem· ordinal: 557.
- Portuguese
- quinhentos e cinquenta e sete· ordinal: 557º
Appears in sequences
- Coefficients of the 3rd-order mock theta function f(q).at n=49A000025
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=24A000199
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=26A000603
- Number of partitions of n into prime parts.at n=46A000607
- Numbers that are not the sum of 4 tetrahedral numbers.at n=33A000797
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=31A000928
- Primes with primitive root 2.at n=42A001122
- Smallest primitive prime factor of Fibonacci number F(n), or 1 if F(n) has no primitive prime factor.at n=30A001578
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=31A001914
- Primes p such that the congruence 2^x = 5 (mod p) is solvable.at n=57A001916
- Pythagorean primes: primes of the form 4*k + 1.at n=47A002144
- Primes congruent to 1 or 2 modulo 4; or, primes of form x^2 + y^2; or, -1 is a square mod p.at n=48A002313
- Numbers that are the sum of 11 positive 5th powers.at n=24A003356
- Inert rational primes in Q(sqrt(-5)).at n=50A003626
- Primes of the form 3n-1.at n=52A003627
- Primes p == +- 3 (mod 8), or, primes p such that 2 is not a square mod p.at n=53A003629
- Inert rational primes in Q[sqrt(3)].at n=51A003630
- Primes congruent to 2 or 3 modulo 5.at n=52A003631
- Discriminants of real quadratic fields with narrow class number 1.at n=45A003655
- Divisible only by primes congruent to 4 mod 7.at n=16A004622