Number

1,312

1,312 is a composite number, even, a calendar year.

1,312 (one thousand three hundred twelve) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 41. Its proper divisors sum to 1,334, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCXII and in binary, 10100100000.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,300 1,301 1,302 1,303 1,304 1,305 1,306 1,307 1,308 1,309 1,310 1,311 1,312 1,313 1,314 1,315 1,316 1,317 1,318 1,319 1,320 1,321 1,322 1,323 1,324

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Historical context — 1312 AD

Calendar year

Year 1312 (MCCCXII) was a leap year starting on Saturday 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: Friday
January 1, 1312
Ended on: Saturday
December 31, 1312
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1310s
1310–1319
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 714
714 years before 2026.

In other calendars

Hebrew: 5072 / 5073 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 711 / 712 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: 1855 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 690 / 691 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1304 / 1305 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1234 / 1233 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 6
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 2,131
Recamán's sequence: a(416) = 1,312
Square (n²): 1,721,344
Cube (n³): 2,258,403,328
Divisor count: 12
σ(n) — sum of divisors: 2,646
φ(n) — Euler's totient: 640
Sum of prime factors: 51

Primality

Prime factorization: 2 ⁵ × 41

Nearest primes: 1,307 (−5) · 1,319 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 8 · 16 · 32 · 41 · 82 · 164 · 328 · 656 (half) · 1312

Aliquot sum (sum of proper divisors): 1,334

Factor pairs (a × b = 1,312)

1 × 1312

2 × 656

4 × 328

8 × 164

16 × 82

32 × 41

First multiples

1,312 · 2,624 (double) · 3,936 · 5,248 · 6,560 · 7,872 · 9,184 · 10,496 · 11,808 · 13,120

Sums & aliquot sequence

As a sum of two squares: 4² + 36²

As consecutive integers: 12 + 13 + … + 52

Aliquot sequence: 1,312 → 1,334 → 826 → 614 → 310 → 266 → 214 → 110 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,312 = [36; (4, 1, 1, 17, 1, 1, 4, 72)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred twelve
Ordinal: 1312th
Roman numeral: MCCCXII
Binary: 10100100000
Octal: 2440
Hexadecimal: 0x520
Base64: BSA=
One's complement: 64,223 (16-bit)
Scientific notation: 1.312 × 10³
As a duration: 1,312 s = 21 minutes, 52 seconds

In other bases

ternary (3) 1210121

quaternary (4) 110200

quinary (5) 20222

senary (6) 10024

septenary (7) 3553

nonary (9) 1717

undecimal (11) a93

duodecimal (12) 914

tridecimal (13) 79c

tetradecimal (14) 69a

pentadecimal (15) 5c7

Palindromic in base 3, base 7

As an angle

1,312° = 3 × 360° + 232°

232° ≈ 4.049 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian): ͵ατιβʹ
Mayan (base 20): 𝋣·𝋥·𝋬
Chinese: 一千三百一十二
Chinese (financial): 壹仟參佰壹拾貳

In other modern scripts

Eastern Arabic ١٣١٢ Devanagari १३१२ Bengali ১৩১২ Tamil ௧௩௧௨ Thai ๑๓๑๒ Tibetan ༡༣༡༢ Khmer ១៣១២ Lao ໑໓໑໒ Burmese ၁၃၁၂

Digit at this position in famous constants

π — Pi (π): Digit 1,312 = 8
e — Euler's number (e): Digit 1,312 = 4
φ — Golden ratio (φ): Digit 1,312 = 6
√2 — Pythagoras's (√2): Digit 1,312 = 4
ln 2 — Natural log of 2: Digit 1,312 = 5
γ — Euler-Mascheroni (γ): Digit 1,312 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1312, here are decompositions:

5 + 1307 = 1312
11 + 1301 = 1312
23 + 1289 = 1312
29 + 1283 = 1312
53 + 1259 = 1312
83 + 1229 = 1312
89 + 1223 = 1312
131 + 1181 = 1312

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter El With Middle Hook

U+0520

Uppercase letter (Lu)

UTF-8 encoding: D4 A0 (2 bytes).

Lookup U+0520 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000520

RGB(0, 5, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.32.

Address: 0.0.5.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.32

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

Musical pitch

Heard as a frequency, 1,312 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -9¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +29¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -7¢)

Position in π

The digit sequence 1312 first appears in π at position 21,691 of the decimal expansion (the 21,691ordinal-suffix:st 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 1312 on Pi Search ↗