552
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1440
- Proper Divisor Sum (Aliquot Sum)
- 888
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 176
- Möbius Function
- 0
- Radical
- 138
- Omega Function (Ω)
- 5
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 17
- 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
- fünfhundertzweiundfünfzig· ordinal: fünfhundertzweiundfünfzigste
- English
- five hundred fifty-two· ordinal: five hundred fifty-second
- Spanish
- quinientos cincuenta y dos· ordinal: 552º
- French
- cinq cent cinquante-deux· ordinal: cinq cent cinquante-deuxième
- Italian
- cinquecentocinquantadue· ordinal: 552º
- Latin
- quingenti quinquaginta duo· ordinal: 552.
- Portuguese
- quinhentos e cinquenta e dois· ordinal: 552º
Appears in sequences
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=22A000082
- Number of 3 X n Latin rectangles in which the first row is in order.at n=5A000186
- Number of 3-valent trees (= boron trees or binary trees) with n nodes.at n=14A000672
- Number of compositions of n into 3 ordered relatively prime parts.at n=39A000741
- Shuffling 2n cards.at n=23A002139
- Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1).at n=23A002378
- Number of integral points in a certain sequence of closed quadrilaterals.at n=34A002579
- Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n^2/4).at n=47A002620
- Number of prime knots with n crossings.at n=10A002863
- Solid partitions of n, distinct along rows.at n=8A002936
- a(n) = 2*n*(2*n-1).at n=12A002939
- Numbers that are the sum of 6 positive 5th powers.at n=15A003351
- Expansion of 1 / (Sum_{n=-oo..oo} x^(n^2))^4.at n=4A004405
- 5!(2n-6)!/n!(n-1)! is an integer.at n=6A004785
- a(n) = round(n*phi^7), where phi is the golden ratio, A001622.at n=19A004942
- a(n) = ceiling(n*phi^7), where phi is the golden ratio, A001622.at n=19A004962
- Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function (A001065).at n=43A005114
- Number of partitions of 4*n into powers of 4.at n=49A005705
- Denominator of B_{2n}/(-4n), where B_m are the Bernoulli numbers.at n=11A006863
- McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).at n=20A007258