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Number

1,299

1,299 is a composite number, odd, a calendar year.

1,299 (one thousand two hundred ninety-nine) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 433. Written other ways, in Roman numerals it is MCCXCIX and in binary, 10100010011.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

Historical context — 1299 AD

Calendar year

Year 1299 (MCCXCIX) 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1299
Ended on
Thursday
December 31, 1299
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1290s
1290–1299
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
727
727 years before 2026.

In other calendars

Hebrew
5059 / 5060 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
698 / 699 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Pig
Sexagenary cycle position 36 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1842 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
677 / 678 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1291 / 1292 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1221 / 1220 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
21
Digit product
162
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
9,921
Recamán's sequence
a(30,450) = 1,299
Square (n²)
1,687,401
Cube (n³)
2,191,933,899
Divisor count
4
σ(n) — sum of divisors
1,736
φ(n) — Euler's totient
864
Sum of prime factors
436

Primality

Prime factorization: 3 × 433

Nearest primes: 1,297 (−2) · 1,301 (+2)

Divisors & multiples

All divisors (4)
1 · 3 · 433 · 1299
Aliquot sum (sum of proper divisors): 437
Factor pairs (a × b = 1,299)
1 × 1299
3 × 433
First multiples
1,299 · 2,598 (double) · 3,897 · 5,196 · 6,495 · 7,794 · 9,093 · 10,392 · 11,691 · 12,990

Sums & aliquot sequence

As consecutive integers: 649 + 650 432 + 433 + 434 214 + 215 + 216 + 217 + 218 + 219
Aliquot sequence: 1,299 437 43 1 0 — terminates at zero

Continued fraction of √n

√1,299 = [36; (24, 72)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one thousand two hundred ninety-nine
Ordinal
1299th
Roman numeral
MCCXCIX
Binary
10100010011
Octal
2423
Hexadecimal
0x513
Base64
BRM=
One's complement
64,236 (16-bit)
Scientific notation
1.299 × 10³
As a duration
1,299 s = 21 minutes, 39 seconds
In other bases
ternary (3) 1210010
quaternary (4) 110103
quinary (5) 20144
senary (6) 10003
septenary (7) 3534
nonary (9) 1703
undecimal (11) a81
duodecimal (12) 903
tridecimal (13) 78c
tetradecimal (14) 68b
pentadecimal (15) 5b9

As an angle

1,299° = 3 × 360° + 219°
219° ≈ 3.822 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασϟθʹ
Mayan (base 20)
𝋣·𝋤·𝋳
Chinese
一千二百九十九
Chinese (financial)
壹仟貳佰玖拾玖
In other modern scripts
Eastern Arabic ١٢٩٩ Devanagari १२९९ Bengali ১২৯৯ Tamil ௧௨௯௯ Thai ๑๒๙๙ Tibetan ༡༢༩༩ Khmer ១២៩៩ Lao ໑໒໙໙ Burmese ၁၂၉၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,299 = 9
e — Euler's number (e)
Digit 1,299 = 7
φ — Golden ratio (φ)
Digit 1,299 = 7
√2 — Pythagoras's (√2)
Digit 1,299 = 9
ln 2 — Natural log of 2
Digit 1,299 = 3
γ — Euler-Mascheroni (γ)
Digit 1,299 = 6

Also seen as

Unicode codepoint
ԓ
Cyrillic Small Letter El With Hook
U+0513
Lowercase letter (Ll)

UTF-8 encoding: D4 93 (2 bytes).

Hex color
#000513
RGB(0, 5, 19)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.19.

Address
0.0.5.19
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.19

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

Musical pitch

Heard as a frequency, 1,299 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -26¢)
  • Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +12¢)
  • Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -25¢)
Position in π

The digit sequence 1299 first appears in π at position 4,450 of the decimal expansion (the 4,450ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.