Number

552

552 is a composite number, even, a calendar year.

552 (five hundred fifty-two) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 23. Its proper divisors sum to 888, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DLII and in binary, 1000101000.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564

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Historical context — 552 AD

Calendar year

Year 552 (DLII) was a leap year starting on Monday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 552 BC

Calendar year

The year 552 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Saturday
January 1, 552
Ended on: Sunday
December 31, 552
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 550s
550–559
Century: 6th century
501–600
Millennium: 1st millennium
1–1000
Years ago: 1,474
1474 years before 2026.

In other calendars

Hebrew: 4312 / 4313 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1095 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 544 / 545 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 474 / 473 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 50
Digital root: 3
Palindrome: No
Bit width: 10 bits
Reversed: 255
Recamán's sequence: a(1,155) = 552
Square (n²): 304,704
Cube (n³): 168,196,608
Divisor count: 16
σ(n) — sum of divisors: 1,440
φ(n) — Euler's totient: 176
Sum of prime factors: 32

Primality

Prime factorization: 2 ³ × 3 × 23

Nearest primes: 547 (−5) · 557 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 23 · 24 · 46 · 69 · 92 · 138 · 184 · 276 (half) · 552

Aliquot sum (sum of proper divisors): 888

Factor pairs (a × b = 552)

1 × 552

2 × 276

3 × 184

4 × 138

6 × 92

8 × 69

12 × 46

23 × 24

First multiples

552 · 1,104 (double) · 1,656 · 2,208 · 2,760 · 3,312 · 3,864 · 4,416 · 4,968 · 5,520

Sums & aliquot sequence

As consecutive integers: 183 + 184 + 185 27 + 28 + … + 42 13 + 14 + … + 35

Aliquot sequence: 552 → 888 → 1,392 → 2,328 → 3,552 → 6,024 → 9,096 → 13,704 → 20,616 → 30,984 → 46,536 → 86,904 → 165,816 → 367,704 → 628,356 → 837,836 → 628,384 — unresolved within range

Continued fraction of √n

√552 = [23; (2, 46)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: five hundred fifty-two
Ordinal: 552nd
Roman numeral: DLII
Binary: 1000101000
Octal: 1050
Hexadecimal: 0x228
Base64: Aig=
One's complement: 64,983 (16-bit)
Scientific notation: 5.52 × 10²
As a duration: 552 s = 9 minutes, 12 seconds

In other bases

ternary (3) 202110

quaternary (4) 20220

quinary (5) 4202

senary (6) 2320

septenary (7) 1416

nonary (9) 673

undecimal (11) 462

duodecimal (12) 3a0

tridecimal (13) 336

tetradecimal (14) 2b6

pentadecimal (15) 26c

As an angle

552° = 1 × 360° + 192°

192° ≈ 3.351 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): φνβʹ
Mayan (base 20): 𝋡·𝋧·𝋬
Chinese: 五百五十二
Chinese (financial): 伍佰伍拾貳

In other modern scripts

Eastern Arabic ٥٥٢ Devanagari ५५२ Bengali ৫৫২ Tamil ௫௫௨ Thai ๕๕๒ Tibetan ༥༥༢ Khmer ៥៥២ Lao ໕໕໒ Burmese ၅၅၂

Digit at this position in famous constants

π — Pi (π): Digit 552 = 6
e — Euler's number (e): Digit 552 = 2
φ — Golden ratio (φ): Digit 552 = 7
√2 — Pythagoras's (√2): Digit 552 = 7
ln 2 — Natural log of 2: Digit 552 = 9
γ — Euler-Mascheroni (γ): Digit 552 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 552, here are decompositions:

5 + 547 = 552
11 + 541 = 552
29 + 523 = 552
31 + 521 = 552
43 + 509 = 552
53 + 499 = 552
61 + 491 = 552
73 + 479 = 552

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter E With Cedilla

U+0228

Uppercase letter (Lu)

UTF-8 encoding: C8 A8 (2 bytes).

Lookup U+0228 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000228

RGB(0, 2, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.40.

Address: 0.0.2.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.40

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 552 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯5 (554.4 Hz, -7¢)
Scientific pitch (C4 = 256 Hz): C♯5 (542.4 Hz, +30¢)
Baroque pitch (A4 = 415 Hz): D5 (554 Hz, -6¢)