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Number

1,399

1,399 is a prime, odd, a calendar year.

1,399 (one thousand three hundred ninety-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MCCCXCIX and in binary, 10101110111.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Recamán's Sequence Squarefree Year

Interestingness

Historical context — 1399 AD

Calendar year

Year 1399 (MCCCXCIX) was a common year starting on Wednesday 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
Tuesday
January 1, 1399
Ended on
Tuesday
December 31, 1399
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1390s
1390–1399
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
627
627 years before 2026.

In other calendars

Hebrew
5159 / 5160 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
801 / 802 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rabbit
Sexagenary cycle position 16 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1942 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
777 / 778 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1391 / 1392 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1321 / 1320 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
22
Digit product
243
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
9,931
Recamán's sequence
a(8,330) = 1,399
Square (n²)
1,957,201
Cube (n³)
2,738,124,199
Divisor count
2
σ(n) — sum of divisors
1,400
φ(n) — Euler's totient
1,398

Primality

1,399 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1399
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,399)
1 × 1399
First multiples
1,399 · 2,798 (double) · 4,197 · 5,596 · 6,995 · 8,394 · 9,793 · 11,192 · 12,591 · 13,990

Sums & aliquot sequence

As consecutive integers: 699 + 700

Continued fraction of √n

√1,399 = [37; (2, 2, 12, 14, 1, 7, 2, 1, 1, 1, 4, 2, 1, 3, 2, 7, 24, 1, 4, 37, 4, 1, 24, 7, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one thousand three hundred ninety-nine
Ordinal
1399th
Roman numeral
MCCCXCIX
Binary
10101110111
Octal
2567
Hexadecimal
0x577
Base64
BXc=
One's complement
64,136 (16-bit)
Scientific notation
1.399 × 10³
As a duration
1,399 s = 23 minutes, 19 seconds
In other bases
ternary (3) 1220211
quaternary (4) 111313
quinary (5) 21044
senary (6) 10251
septenary (7) 4036
nonary (9) 1824
undecimal (11) 1062
duodecimal (12) 987
tridecimal (13) 838
tetradecimal (14) 71d
pentadecimal (15) 634
Palindromic in base 13

As an angle

1,399° = 3 × 360° + 319°
319° ≈ 5.568 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατϟθʹ
Mayan (base 20)
𝋣·𝋩·𝋳
Chinese
一千三百九十九
Chinese (financial)
壹仟參佰玖拾玖
In other modern scripts
Eastern Arabic ١٣٩٩ Devanagari १३९९ Bengali ১৩৯৯ Tamil ௧௩௯௯ Thai ๑๓๙๙ Tibetan ༡༣༩༩ Khmer ១៣៩៩ Lao ໑໓໙໙ Burmese ၁၃၉၉

Digit at this position in famous constants

π — Pi (π)
Digit 1,399 = 2
e — Euler's number (e)
Digit 1,399 = 8
φ — Golden ratio (φ)
Digit 1,399 = 6
√2 — Pythagoras's (√2)
Digit 1,399 = 7
ln 2 — Natural log of 2
Digit 1,399 = 4
γ — Euler-Mascheroni (γ)
Digit 1,399 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,381 (gap of 18)
  • Next prime: 1,409 (gap of 10)
Unicode codepoint
շ
Armenian Small Letter Sha
U+0577
Lowercase letter (Ll)

UTF-8 encoding: D5 B7 (2 bytes).

Hex color
#000577
RGB(0, 5, 119)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.119.

Address
0.0.5.119
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.119

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

Musical pitch

Heard as a frequency, 1,399 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F6 (1396.9 Hz, +3¢)
  • Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, +40¢)
  • Baroque pitch (A4 = 415 Hz): F♯6 (1395.9 Hz, +4¢)
Position in π

The digit sequence 1399 first appears in π at position 13,014 of the decimal expansion (the 13,014ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.