556
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
- 6
- Divisor Sum
- 980
- Proper Divisor Sum (Aliquot Sum)
- 424
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 276
- Möbius Function
- 0
- Radical
- 278
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 43
- Smith 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
Names
- German
- fünfhundertsechsundfünfzig· ordinal: fünfhundertsechsundfünfzigste
- English
- five hundred fifty-six· ordinal: five hundred fifty-sixth
- Spanish
- quinientos cincuenta y seis· ordinal: 556º
- French
- cinq cent cinquante-six· ordinal: cinq cent cinquante-sixième
- Italian
- cinquecentocinquantasei· ordinal: 556º
- Latin
- quingenti quinquaginta sex· ordinal: 556.
- Portuguese
- quinhentos e cinquenta e seis· ordinal: 556º
Appears in sequences
- Number of partitions into non-integral powers.at n=8A000160
- Number of switching networks (see Harrison reference for precise definition).at n=2A000832
- Number of switching networks (see Harrison reference for precise definition).at n=2A000844
- Primes multiplied by 4.at n=33A001749
- Endpoints in trees with n nodes.at n=9A003228
- Numbers that are the sum of 10 positive 5th powers.at n=23A003355
- a(n) = floor(n*phi^6), phi = golden ratio, A001622.at n=31A004921
- a(n) = round(n*phi^6), where phi is the golden ratio, A001622.at n=31A004941
- Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function (A001065).at n=44A005114
- Coefficients of Gandhi polynomials.at n=3A005440
- Total number of parts in all partitions of n. Also, sum of largest parts of all partitions of n.at n=13A006128
- Record number of steps to reach 1 in '3x+1' problem, corresponding to starting values in A006877.at n=46A006878
- Let P(n) of a sequence s(1),s(2),s(3),... be obtained by leaving s(1),...,s(n) fixed and reversing every n consecutive terms thereafter; apply P(2) to 1,2,3,... to get PS(2), then apply P(3) to PS(2) to get PS(3), then apply P(4) to PS(3), etc. This sequence is the limit of PS(n).at n=49A007062
- Shifts left under GCD-convolution with itself.at n=58A007464
- 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=30A007475
- Coordination sequence T2 for Zeolite Code AST.at n=17A008037
- Coordination sequence T2 for Zeolite Code BIK.at n=14A008048
- Coordination sequence T3 for Zeolite Code LOV.at n=16A008136
- Coordination sequence T1 for Zeolite Code MEP.at n=14A008157
- Coordination sequence T5 for Zeolite Code MFI.at n=15A008168