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Number

1,398

1,398 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Historical context — 1398 AD

Calendar year

Year 1398 (MCCCXCVIII) was a common year starting on Tuesday 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
Monday
January 1, 1398
Ended on
Monday
December 31, 1398
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
628
628 years before 2026.

In other calendars

Hebrew
5158 / 5159 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
800 / 801 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1941 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
776 / 777 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1390 / 1391 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1320 / 1319 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
21
Digit product
216
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
8,931
Recamán's sequence
a(8,332) = 1,398
Square (n²)
1,954,404
Cube (n³)
2,732,256,792
Divisor count
8
σ(n) — sum of divisors
2,808
φ(n) — Euler's totient
464
Sum of prime factors
238

Primality

Prime factorization: 2 × 3 × 233

Nearest primes: 1,381 (−17) · 1,399 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 233 · 466 · 699 (half) · 1398
Aliquot sum (sum of proper divisors): 1,410
Factor pairs (a × b = 1,398)
1 × 1398
2 × 699
3 × 466
6 × 233
First multiples
1,398 · 2,796 (double) · 4,194 · 5,592 · 6,990 · 8,388 · 9,786 · 11,184 · 12,582 · 13,980

Sums & aliquot sequence

As consecutive integers: 465 + 466 + 467 348 + 349 + 350 + 351 111 + 112 + … + 122
Aliquot sequence: 1,398 1,410 2,046 2,562 3,390 4,818 5,838 7,602 9,870 17,778 17,790 24,978 27,438 30,882 30,894 34,386 40,782 — unresolved within range

Representations

In words
one thousand three hundred ninety-eight
Ordinal
1398th
Roman numeral
MCCCXCVIII
Binary
10101110110
Octal
2566
Hexadecimal
0x576
Base64
BXY=
One's complement
64,137 (16-bit)
In other bases
ternary (3) 1220210
quaternary (4) 111312
quinary (5) 21043
senary (6) 10250
septenary (7) 4035
nonary (9) 1823
undecimal (11) 1061
duodecimal (12) 986
tridecimal (13) 837
tetradecimal (14) 71c
pentadecimal (15) 633

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατϟηʹ
Mayan (base 20)
𝋣·𝋩·𝋲
Chinese
一千三百九十八
Chinese (financial)
壹仟參佰玖拾捌
In other modern scripts
Eastern Arabic ١٣٩٨ Devanagari १३९८ Bengali ১৩৯৮ Tamil ௧௩௯௮ Thai ๑๓๙๘ Tibetan ༡༣༩༨ Khmer ១៣៩៨ Lao ໑໓໙໘ Burmese ၁၃၉၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,398 = 2
e — Euler's number (e)
Digit 1,398 = 9
φ — Golden ratio (φ)
Digit 1,398 = 9
√2 — Pythagoras's (√2)
Digit 1,398 = 6
ln 2 — Natural log of 2
Digit 1,398 = 8
γ — Euler-Mascheroni (γ)
Digit 1,398 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1398, here are decompositions:

  • 17 + 1381 = 1398
  • 31 + 1367 = 1398
  • 37 + 1361 = 1398
  • 71 + 1327 = 1398
  • 79 + 1319 = 1398
  • 97 + 1301 = 1398
  • 101 + 1297 = 1398
  • 107 + 1291 = 1398

Showing the first eight; more decompositions exist.

Unicode codepoint
ն
Armenian Small Letter Now
U+0576
Lowercase letter (Ll)

UTF-8 encoding: D5 B6 (2 bytes).

Hex color
#000576
RGB(0, 5, 118)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.118.

Address
0.0.5.118
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.118

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

Position in π

The digit sequence 1398 first appears in π at position 7,332 of the decimal expansion (the 7,332ordinal-suffix:nd 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.