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Number

677

677 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Historical context — 677 AD

Calendar year

Year 677 (DCLXXVII) was a common year starting on Thursday of the Julian calendar.

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Historical context — 677 BC

Calendar year

The year 677 BC, also known as 677 BCE, was a year of the pre-Julian Roman calendar.

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
52
Started on
Monday
January 1, 677
Ended on
Monday
December 31, 677
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
670s
670–679
Century
7th century
601–700
Millennium
1st millennium
1–1000
Years ago
1,349
1349 years before 2026.

In other calendars

Hebrew
4437 / 4438 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
57 / 58 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Ox
Sexagenary cycle position 14 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1220 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
55 / 56 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
669 / 670 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
599 / 598 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
20
Digit product
294
Digital root
2
Palindrome
No
Bit width
10 bits
Reversed
776
Recamán's sequence
a(2,270) = 677
Square (n²)
458,329
Cube (n³)
310,288,733
Divisor count
2
σ(n) — sum of divisors
678
φ(n) — Euler's totient
676

Primality

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

Divisors & multiples

All divisors (2)
1 · 677
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 677)
1 × 677
First multiples
677 · 1,354 (double) · 2,031 · 2,708 · 3,385 · 4,062 · 4,739 · 5,416 · 6,093 · 6,770

Sums & aliquot sequence

As a sum of two squares: 1² + 26²
As consecutive integers: 338 + 339

Representations

In words
six hundred seventy-seven
Ordinal
677th
Roman numeral
DCLXXVII
Binary
1010100101
Octal
1245
Hexadecimal
0x2A5
Base64
AqU=
One's complement
64,858 (16-bit)
In other bases
ternary (3) 221002
quaternary (4) 22211
quinary (5) 10202
senary (6) 3045
septenary (7) 1655
nonary (9) 832
undecimal (11) 566
duodecimal (12) 485
tridecimal (13) 401
tetradecimal (14) 365
pentadecimal (15) 302

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
χοζʹ
Mayan (base 20)
𝋡·𝋭·𝋱
Chinese
六百七十七
Chinese (financial)
陸佰柒拾柒
In other modern scripts
Eastern Arabic ٦٧٧ Devanagari ६७७ Bengali ৬৭৭ Tamil ௬௭௭ Thai ๖๗๗ Tibetan ༦༧༧ Khmer ៦៧៧ Lao ໖໗໗ Burmese ၆၇၇

Digit at this position in famous constants

π — Pi (π)
Digit 677 = 5
e — Euler's number (e)
Digit 677 = 3
φ — Golden ratio (φ)
Digit 677 = 6
√2 — Pythagoras's (√2)
Digit 677 = 0
ln 2 — Natural log of 2
Digit 677 = 5
γ — Euler-Mascheroni (γ)
Digit 677 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 673 (gap of 4)
  • Next prime: 683 (gap of 6)

Pair status: cousin with 673, sexy with 683.

Unicode codepoint
ʥ
Latin Small Letter Dz Digraph With Curl
U+02A5
Lowercase letter (Ll)

UTF-8 encoding: CA A5 (2 bytes).

Hex color
#0002A5
RGB(0, 2, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.165.

Address
0.0.2.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.165

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