Number

252

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

252 (two hundred fifty-two) is an even 3-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 7. Its proper divisors sum to 476, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is CCLII and in binary, 11111100.

Abundant Number Cube-Free Evil Number Harshad / Niven Palindrome Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Undulating Number Year

Interestingness

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8 notable facts · grade A

240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264

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Historical context — 252 AD

Calendar year

Year 252 (CCLII) was a leap year starting on Thursday of the Julian calendar.

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

Historical context — 252 BC

Calendar year

Year 252 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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 252
Ended on: Friday
December 31, 252
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 250s
250–259
Century: 3rd century
201–300
Millennium: 1st millennium
1–1000
Years ago: 1,774
1774 years before 2026.

In other calendars

Hebrew: 4012 / 4013 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: 795 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 244 / 245 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 174 / 173 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digit product: 20
Digital root: 9
Palindrome: Yes
Bit width: 8 bits
Recamán's sequence: a(239) = 252
Square (n²): 63,504
Cube (n³): 16,003,008
Divisor count: 18
σ(n) — sum of divisors: 728
φ(n) — Euler's totient: 72
Sum of prime factors: 17

Primality

Prime factorization: 2 ² × 3 ² × 7

Nearest primes: 251 (−1) · 257 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 63 · 84 · 126 (half) · 252

Aliquot sum (sum of proper divisors): 476

Factor pairs (a × b = 252)

1 × 252

2 × 126

3 × 84

4 × 63

6 × 42

7 × 36

9 × 28

12 × 21

14 × 18

First multiples

252 · 504 (double) · 756 · 1,008 · 1,260 · 1,512 · 1,764 · 2,016 · 2,268 · 2,520

Sums & aliquot sequence

As consecutive integers: 83 + 84 + 85 33 + 34 + … + 39 28 + 29 + … + 35 24 + 25 + … + 32

Aliquot sequence: 252 → 476 → 532 → 588 → 1,008 → 2,216 → 1,954 → 980 → 1,414 → 1,034 → 694 → 350 → 394 → 200 → 265 → 59 → 1 — unresolved within range

Continued fraction of √n

√252 = [15; (1, 6, 1, 30)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: two hundred fifty-two
Ordinal: 252nd
Roman numeral: CCLII
Binary: 11111100
Octal: 374
Hexadecimal: 0xFC
Base64: /A==
One's complement: 3 (8-bit)
Scientific notation: 2.52 × 10²
As a duration: 252 s = 4 minutes, 12 seconds

In other bases

ternary (3) 100100

quaternary (4) 3330

quinary (5) 2002

senary (6) 1100

septenary (7) 510

nonary (9) 310

undecimal (11) 20a

duodecimal (12) 190

tridecimal (13) 165

tetradecimal (14) 140

pentadecimal (15) 11c

Palindromic in base 5

As an angle

252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): σνβʹ
Mayan (base 20): 𝋬·𝋬
Chinese: 二百五十二
Chinese (financial): 貳佰伍拾貳

In other modern scripts

Eastern Arabic ٢٥٢ Devanagari २५२ Bengali ২৫২ Tamil ௨௫௨ Thai ๒๕๒ Tibetan ༢༥༢ Khmer ២៥២ Lao ໒໕໒ Burmese ၂၅၂

Digit at this position in famous constants

π — Pi (π): Digit 252 = 4
e — Euler's number (e): Digit 252 = 8
φ — Golden ratio (φ): Digit 252 = 1
√2 — Pythagoras's (√2): Digit 252 = 0
ln 2 — Natural log of 2: Digit 252 = 2
γ — Euler-Mascheroni (γ): Digit 252 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 252, here are decompositions:

11 + 241 = 252
13 + 239 = 252
19 + 233 = 252
23 + 229 = 252
29 + 223 = 252
41 + 211 = 252
53 + 199 = 252
59 + 193 = 252

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter U With Diaeresis

U+00FC

Lowercase letter (Ll)

UTF-8 encoding: C3 BC (2 bytes).

Lookup U+00FC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0000FC

RGB(0, 0, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.252.

Address: 0.0.0.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.252

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

NANP area code 252

The number 252 is an active NANP area code (North American Numbering Plan).

Primary area: Outer Banks / Rocky Mount
Region: North Carolina
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 252 ↗

Musical pitch

Heard as a frequency, 252 Hz is closest to:

Concert pitch (A4 = 440 Hz): B3 (246.9 Hz, +35¢)
Scientific pitch (C4 = 256 Hz): C4 (256 Hz, -27¢)
Baroque pitch (A4 = 415 Hz): C4 (246.8 Hz, +36¢)

Food additive (E-number)

On an ingredients label, E252 is Potassium nitrate, a preservative — saltpetre.

E-number reference (Wikipedia) ↗