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Number

1,310

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

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

Historical context — 1310 AD

Calendar year

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

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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

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)
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

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
Ԟ
Cyrillic Capital Letter Aleut Ka
U+051E
Uppercase letter (Lu)

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

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.

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.