Number

1,252

1,252 is a composite number, even, a calendar year.

1,252 (one thousand two hundred fifty-two) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 313. Written other ways, in Roman numerals it is MCCLII and in binary, 10011100100.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,240 1,241 1,242 1,243 1,244 1,245 1,246 1,247 1,248 1,249 1,250 1,251 1,252 1,253 1,254 1,255 1,256 1,257 1,258 1,259 1,260 1,261 1,262 1,263 1,264

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Historical context — 1252 AD

Calendar year

Year 1252 (MCCLII) 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 →

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: Monday
January 1, 1252
Ended on: Tuesday
December 31, 1252
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1250s
1250–1259
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 774
774 years before 2026.

In other calendars

Hebrew: 5012 / 5013 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 649 / 650 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Rat
Sexagenary cycle position 49 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1795 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 630 / 631 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1244 / 1245 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1174 / 1173 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 20
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 2,521
Recamán's sequence: a(8,484) = 1,252
Square (n²): 1,567,504
Cube (n³): 1,962,515,008
Divisor count: 6
σ(n) — sum of divisors: 2,198
φ(n) — Euler's totient: 624
Sum of prime factors: 317

Primality

Prime factorization: 2 ² × 313

Nearest primes: 1,249 (−3) · 1,259 (+7)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 313 · 626 (half) · 1252

Aliquot sum (sum of proper divisors): 946

Factor pairs (a × b = 1,252)

1 × 1252

2 × 626

4 × 313

First multiples

1,252 · 2,504 (double) · 3,756 · 5,008 · 6,260 · 7,512 · 8,764 · 10,016 · 11,268 · 12,520

Sums & aliquot sequence

As a sum of two squares: 24² + 26²

As consecutive integers: 153 + 154 + … + 160

Aliquot sequence: 1,252 → 946 → 638 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,252 = [35; (2, 1, 1, 1, 1, 5, 3, 1, 1, 4, 1, 7, 23, 2, 5, 1, 16, 1, 5, 2, 23, 7, 1, 4, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: one thousand two hundred fifty-two
Ordinal: 1252nd
Roman numeral: MCCLII
Binary: 10011100100
Octal: 2344
Hexadecimal: 0x4E4
Base64: BOQ=
One's complement: 64,283 (16-bit)
Scientific notation: 1.252 × 10³
As a duration: 1,252 s = 20 minutes, 52 seconds

In other bases

ternary (3) 1201101

quaternary (4) 103210

quinary (5) 20002

senary (6) 5444

septenary (7) 3436

nonary (9) 1641

undecimal (11) a39

duodecimal (12) 884

tridecimal (13) 754

tetradecimal (14) 656

pentadecimal (15) 587

Palindromic in base 5, base 14, base 16

As an angle

1,252° = 3 × 360° + 172°

172° ≈ 3.002 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ασνβʹ
Mayan (base 20): 𝋣·𝋢·𝋬
Chinese: 一千二百五十二
Chinese (financial): 壹仟貳佰伍拾貳

In other modern scripts

Eastern Arabic ١٢٥٢ Devanagari १२५२ Bengali ১২৫২ Tamil ௧௨௫௨ Thai ๑๒๕๒ Tibetan ༡༢༥༢ Khmer ១២៥២ Lao ໑໒໕໒ Burmese ၁၂၅၂

Digit at this position in famous constants

π — Pi (π): Digit 1,252 = 9
e — Euler's number (e): Digit 1,252 = 6
φ — Golden ratio (φ): Digit 1,252 = 8
√2 — Pythagoras's (√2): Digit 1,252 = 1
ln 2 — Natural log of 2: Digit 1,252 = 9
γ — Euler-Mascheroni (γ): Digit 1,252 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1252, here are decompositions:

3 + 1249 = 1252
23 + 1229 = 1252
29 + 1223 = 1252
59 + 1193 = 1252
71 + 1181 = 1252
89 + 1163 = 1252
101 + 1151 = 1252
149 + 1103 = 1252

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter I With Diaeresis

U+04E4

Uppercase letter (Lu)

UTF-8 encoding: D3 A4 (2 bytes).

Lookup U+04E4 on Compart ↗ Lookup on FileFormat.Info ↗

Code page identifier

Code page 1252 is Windows-1252 (Western) — Microsoft Windows encoding for Western European languages — the default for English-locale Windows.

Code pages are integer identifiers used by Windows and other systems to refer to specific character encodings.

Microsoft code page reference ↗

Hex color

#0004E4

RGB(0, 4, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.228.

Address: 0.0.4.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.228

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

Musical pitch

Heard as a frequency, 1,252 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, +48¢ — about midway to E6)
Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, +12¢)

Position in π

The digit sequence 1252 first appears in π at position 1,843 of the decimal expansion (the 1,843ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1252 on Pi Search ↗