Number

1,398

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

1,398 (one thousand three hundred ninety-eight) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 233. Its proper divisors sum to 1,410, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCXCVIII and in binary, 10101110110.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,386 1,387 1,388 1,389 1,390 1,391 1,392 1,393 1,394 1,395 1,396 1,397 1,398 1,399 1,400 1,401 1,402 1,403 1,404 1,405 1,406 1,407 1,408 1,409 1,410

less more

Historical context — 1398 AD

Calendar year

Year 1398 (MCCCXCVIII) was a common year starting on Tuesday 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: 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

Continued fraction of √n

√1,398 = [37; (2, 1, 1, 3, 2, 1, 36, 1, 2, 3, 1, 1, 2, 74)]

Period length 14 — the block in parentheses repeats forever.

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)
Scientific notation: 1.398 × 10³
As a duration: 1,398 s = 23 minutes, 18 seconds

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

As an angle

1,398° = 3 × 360° + 318°

318° ≈ 5.55 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

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

Armenian Small Letter Now

U+0576

Lowercase letter (Ll)

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

Lookup U+0576 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,398 Hz is closest to:

Concert pitch (A4 = 440 Hz): F6 (1396.9 Hz, +1¢)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, +39¢)
Baroque pitch (A4 = 415 Hz): F♯6 (1395.9 Hz, +3¢)

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.

Look up 1398 on Pi Search ↗