Number

798

798 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number Squarefree Year

Historical context — 798 AD

Calendar year

Year 798 (DCCXCVIII) was a common year starting on Monday of the Julian calendar, the 798th year of the Common Era (CE) and Anno Domini (AD) designations, the 798th year of the 1st millennium, the 98th year of the 8th century, and the 9th year of the 790s decade.

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Historical context — 798 BC

Decade

This article concerns the period 799 BC – 790 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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, 798
Ended on: Thursday
December 31, 798
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 790s
790–799
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,228
1228 years before 2026.

In other calendars

Hebrew: 4558 / 4559 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 181 / 182 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: 1341 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 176 / 177 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 790 / 791 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 720 / 719 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 24
Digit product: 504
Digital root: 6
Palindrome: No
Bit width: 10 bits
Reversed: 897
Recamán's sequence: a(295) = 798
Square (n²): 636,804
Cube (n³): 508,169,592
Divisor count: 16
σ(n) — sum of divisors: 1,920
φ(n) — Euler's totient: 216
Sum of prime factors: 31

Primality

Prime factorization: 2 × 3 × 7 × 19

Nearest primes: 797 (−1) · 809 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 14 · 19 · 21 · 38 · 42 · 57 · 114 · 133 · 266 · 399 (half) · 798

Aliquot sum (sum of proper divisors): 1,122

Factor pairs (a × b = 798)

1 × 798

2 × 399

3 × 266

6 × 133

7 × 114

14 × 57

19 × 42

21 × 38

First multiples

798 · 1,596 (double) · 2,394 · 3,192 · 3,990 · 4,788 · 5,586 · 6,384 · 7,182 · 7,980

Sums & aliquot sequence

As consecutive integers: 265 + 266 + 267 198 + 199 + 200 + 201 111 + 112 + … + 117 61 + 62 + … + 72

Aliquot sequence: 798 → 1,122 → 1,470 → 2,634 → 2,646 → 4,194 → 4,932 → 7,626 → 8,502 → 9,978 → 9,990 → 17,370 → 28,026 → 35,136 → 67,226 → 33,616 → 37,808 — unresolved within range

Representations

In words: seven hundred ninety-eight
Ordinal: 798th
Roman numeral: DCCXCVIII
Binary: 1100011110
Octal: 1436
Hexadecimal: 0x31E
Base64: Ax4=
One's complement: 64,737 (16-bit)

In other bases

ternary (3) 1002120

quaternary (4) 30132

quinary (5) 11143

senary (6) 3410

septenary (7) 2220

nonary (9) 1076

undecimal (11) 666

duodecimal (12) 566

tridecimal (13) 495

tetradecimal (14) 410

pentadecimal (15) 383

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ψϟηʹ
Mayan (base 20): 𝋡·𝋳·𝋲
Chinese: 七百九十八
Chinese (financial): 柒佰玖拾捌

In other modern scripts

Eastern Arabic ٧٩٨ Devanagari ७९८ Bengali ৭৯৮ Tamil ௭௯௮ Thai ๗๙๘ Tibetan ༧༩༨ Khmer ៧៩៨ Lao ໗໙໘ Burmese ၇၉၈

Digit at this position in famous constants

π — Pi (π): Digit 798 = 1
e — Euler's number (e): Digit 798 = 4
φ — Golden ratio (φ): Digit 798 = 7
√2 — Pythagoras's (√2): Digit 798 = 3
ln 2 — Natural log of 2: Digit 798 = 7
γ — Euler-Mascheroni (γ): Digit 798 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 798, here are decompositions:

11 + 787 = 798
29 + 769 = 798
37 + 761 = 798
41 + 757 = 798
47 + 751 = 798
59 + 739 = 798
71 + 727 = 798
79 + 719 = 798

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Down Tack Below

U+031E

Non-spacing mark (Mn)

UTF-8 encoding: CC 9E (2 bytes).

Lookup U+031E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00031E

RGB(0, 3, 30)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.30.

Address: 0.0.3.30
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.30

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