Number

1,310

1,310 is a composite number, even, a calendar year.

1,310 (one thousand three hundred ten) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 131. Written other ways, in Roman numerals it is MCCCX and in binary, 10100011110.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,298 1,299 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

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Historical context — 1310 AD

Calendar year

Year 1310 (MCCCX) was a common year starting on Thursday of the Julian calendar.

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

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Wednesday
January 1, 1310
Ended on: Wednesday
December 31, 1310
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: 716
716 years before 2026.

In other calendars

Hebrew: 5070 / 5071 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 709 / 710 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Dog
Sexagenary cycle position 47 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1853 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 688 / 689 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1302 / 1303 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1232 / 1231 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 131
Recamán's sequence: a(412) = 1,310
Square (n²): 1,716,100
Cube (n³): 2,248,091,000
Divisor count: 8
σ(n) — sum of divisors: 2,376
φ(n) — Euler's totient: 520
Sum of prime factors: 138

Primality

Prime factorization: 2 × 5 × 131

Nearest primes: 1,307 (−3) · 1,319 (+9)

Divisors & multiples

All divisors (8)

1 · 2 · 5 · 10 · 131 · 262 · 655 (half) · 1310

Aliquot sum (sum of proper divisors): 1,066

Factor pairs (a × b = 1,310)

1 × 1310

2 × 655

5 × 262

10 × 131

First multiples

1,310 · 2,620 (double) · 3,930 · 5,240 · 6,550 · 7,860 · 9,170 · 10,480 · 11,790 · 13,100

Sums & aliquot sequence

As consecutive integers: 326 + 327 + 328 + 329 260 + 261 + 262 + 263 + 264 56 + 57 + … + 75

Aliquot sequence: 1,310 → 1,066 → 698 → 352 → 404 → 310 → 266 → 214 → 110 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,310 = [36; (5, 6, 2, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 2, 6, 5, 72)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred ten
Ordinal: 1310th
Roman numeral: MCCCX
Binary: 10100011110
Octal: 2436
Hexadecimal: 0x51E
Base64: BR4=
One's complement: 64,225 (16-bit)
Scientific notation: 1.31 × 10³
As a duration: 1,310 s = 21 minutes, 50 seconds

In other bases

ternary (3) 1210112

quaternary (4) 110132

quinary (5) 20220

senary (6) 10022

septenary (7) 3551

nonary (9) 1715

undecimal (11) a91

duodecimal (12) 912

tridecimal (13) 79a

tetradecimal (14) 698

pentadecimal (15) 5c5

Palindromic in base 15

As an angle

1,310° = 3 × 360° + 230°

230° ≈ 4.014 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆
Greek (Milesian): ͵ατιʹ
Mayan (base 20): 𝋣·𝋥·𝋪
Chinese: 一千三百一十
Chinese (financial): 壹仟參佰壹拾

In other modern scripts

Eastern Arabic ١٣١٠ Devanagari १३१० Bengali ১৩১০ Tamil ௧௩௧௦ Thai ๑๓๑๐ Tibetan ༡༣༡༠ Khmer ១៣១០ Lao ໑໓໑໐ Burmese ၁၃၁၀

Digit at this position in famous constants

π — Pi (π): Digit 1,310 = 0
e — Euler's number (e): Digit 1,310 = 2
φ — Golden ratio (φ): Digit 1,310 = 9
√2 — Pythagoras's (√2): Digit 1,310 = 8
ln 2 — Natural log of 2: Digit 1,310 = 0
γ — Euler-Mascheroni (γ): Digit 1,310 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1310, here are decompositions:

3 + 1307 = 1310
7 + 1303 = 1310
13 + 1297 = 1310
19 + 1291 = 1310
31 + 1279 = 1310
61 + 1249 = 1310
73 + 1237 = 1310
79 + 1231 = 1310

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Aleut Ka

U+051E

Uppercase letter (Lu)

UTF-8 encoding: D4 9E (2 bytes).

Lookup U+051E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00051E

RGB(0, 5, 30)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.30.

Address: 0.0.5.30
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.30

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

Musical pitch

Heard as a frequency, 1,310 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -11¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +26¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -10¢)

Position in π

The digit sequence 1310 first appears in π at position 7,394 of the decimal expansion (the 7,394ordinal-suffix:th 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 1310 on Pi Search ↗