Number

1,300

1,300 is a composite number, even, a calendar year.

1,300 (one thousand three hundred) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 13. Its proper divisors sum to 1,738, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCC and in binary, 10100010100.

Abundant Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Preferred Number Recamán's Sequence Self Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,288 1,289 1,290 1,291 1,292 1,293 1,294 1,295 1,296 1,297 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

less more

Notable events — 1300 AD

Feb 22 Pope Boniface VIII proclaims the first Roman Jubilee year.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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: Friday
January 1, 1300
Ended on: Friday
December 31, 1300
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1300s
1300–1309
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 726
726 years before 2026.

In other calendars

Hebrew: 5060 / 5061 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 699 / 700 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1843 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 678 / 679 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1292 / 1293 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1222 / 1221 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 31
Recamán's sequence: a(30,448) = 1,300
Square (n²): 1,690,000
Cube (n³): 2,197,000,000
Divisor count: 18
σ(n) — sum of divisors: 3,038
φ(n) — Euler's totient: 480
Sum of prime factors: 27

Primality

Prime factorization: 2 ² × 5 ² × 13

Nearest primes: 1,297 (−3) · 1,301 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 13 · 20 · 25 · 26 · 50 · 52 · 65 · 100 · 130 · 260 · 325 · 650 (half) · 1300

Aliquot sum (sum of proper divisors): 1,738

Factor pairs (a × b = 1,300)

1 × 1300

2 × 650

4 × 325

5 × 260

10 × 130

13 × 100

20 × 65

25 × 52

26 × 50

First multiples

1,300 · 2,600 (double) · 3,900 · 5,200 · 6,500 · 7,800 · 9,100 · 10,400 · 11,700 · 13,000

Sums & aliquot sequence

As a sum of two squares: 2² + 36² = 12² + 34² = 20² + 30²

As consecutive integers: 258 + 259 + 260 + 261 + 262 159 + 160 + … + 166 94 + 95 + … + 106 40 + 41 + … + 64

Aliquot sequence: 1,300 → 1,738 → 1,142 → 574 → 434 → 334 → 170 → 154 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,300 = [36; (18, 72)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred
Ordinal: 1300th
Roman numeral: MCCC
Binary: 10100010100
Octal: 2424
Hexadecimal: 0x514
Base64: BRQ=
One's complement: 64,235 (16-bit)
Scientific notation: 1.3 × 10³
As a duration: 1,300 s = 21 minutes, 40 seconds

In other bases

ternary (3) 1210011

quaternary (4) 110110

quinary (5) 20200

senary (6) 10004

septenary (7) 3535

nonary (9) 1704

undecimal (11) a82

duodecimal (12) 904

tridecimal (13) 790

tetradecimal (14) 68c

pentadecimal (15) 5ba

As an angle

1,300° = 3 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢
Greek (Milesian): ͵ατʹ
Mayan (base 20): 𝋣·𝋥·𝋠
Chinese: 一千三百
Chinese (financial): 壹仟參佰

In other modern scripts

Eastern Arabic ١٣٠٠ Devanagari १३०० Bengali ১৩০০ Tamil ௧௩௦௦ Thai ๑๓๐๐ Tibetan ༡༣༠༠ Khmer ១៣០០ Lao ໑໓໐໐ Burmese ၁၃၀၀

Digit at this position in famous constants

π — Pi (π): Digit 1,300 = 1
e — Euler's number (e): Digit 1,300 = 4
φ — Golden ratio (φ): Digit 1,300 = 3
√2 — Pythagoras's (√2): Digit 1,300 = 1
ln 2 — Natural log of 2: Digit 1,300 = 3
γ — Euler-Mascheroni (γ): Digit 1,300 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1300, here are decompositions:

3 + 1297 = 1300
11 + 1289 = 1300
17 + 1283 = 1300
23 + 1277 = 1300
41 + 1259 = 1300
71 + 1229 = 1300
83 + 1217 = 1300
107 + 1193 = 1300

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Lha

U+0514

Uppercase letter (Lu)

UTF-8 encoding: D4 94 (2 bytes).

Lookup U+0514 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000514

RGB(0, 5, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.20.

Address: 0.0.5.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.20

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

Musical pitch

Heard as a frequency, 1,300 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -24¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +13¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -23¢)

Position in π

The digit sequence 1300 first appears in π at position 971 of the decimal expansion (the 971ordinal-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 1300 on Pi Search ↗