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Number

477

477 is a composite number, odd, a calendar year.

477 (four hundred seventy-seven) is an odd 3-digit number. It is a composite number with 6 divisors, and factors as 3² × 53. Written other ways, in Roman numerals it is CDLXXVII and in binary, 111011101.

Arithmetic Number Cube-Free Deficient Number Odious Number Pentagonal Pernicious Number Recamán's Sequence Year

Interestingness

4 notable facts · grade D
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Historical context — 477 AD

Calendar year

Year 477 (CDLXXVII) was a common year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 477 BC

Calendar year

Year 477 BC was a year of the pre-Julian Roman 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
Friday
January 1, 477
Ended on
Friday
December 31, 477
Friday the 13ths
1
One Friday the 13th this year.
Decade
470s
470–479
Century
5th century
401–500
Millennium
1st millennium
1–1000
Years ago
1,549
1549 years before 2026.

In other calendars

Hebrew
4237 / 4238 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Fire zodiac:Snake
Sexagenary cycle position 54 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1020 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
469 / 470 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
399 / 398 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
18
Digit product
196
Digital root
9
Palindrome
No
Bit width
9 bits
Reversed
774
Recamán's sequence
a(366) = 477
Square (n²)
227,529
Cube (n³)
108,531,333
Divisor count
6
σ(n) — sum of divisors
702
φ(n) — Euler's totient
312
Sum of prime factors
59

Primality

Prime factorization: 3 2 × 53

Nearest primes: 467 (−10) · 479 (+2)

Divisors & multiples

All divisors (6)
1 · 3 · 9 · 53 · 159 · 477
Aliquot sum (sum of proper divisors): 225
Factor pairs (a × b = 477)
1 × 477
3 × 159
9 × 53
First multiples
477 · 954 (double) · 1,431 · 1,908 · 2,385 · 2,862 · 3,339 · 3,816 · 4,293 · 4,770

Sums & aliquot sequence

As a sum of two squares: 6² + 21²
As consecutive integers: 238 + 239 158 + 159 + 160 77 + 78 + 79 + 80 + 81 + 82 49 + 50 + … + 57
Aliquot sequence: 477 225 178 92 76 64 63 41 1 0 — terminates at zero

Continued fraction of √n

√477 = [21; (1, 5, 3, 1, 4, 10, 1, 2, 2, 4, 2, 2, 1, 10, 4, 1, 3, 5, 1, 42)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-seven
Ordinal
477th
Roman numeral
CDLXXVII
Binary
111011101
Octal
735
Hexadecimal
0x1DD
Base64
Ad0=
One's complement
65,058 (16-bit)
Scientific notation
4.77 × 10²
As a duration
477 s = 7 minutes, 57 seconds
In other bases
ternary (3) 122200
quaternary (4) 13131
quinary (5) 3402
senary (6) 2113
septenary (7) 1251
nonary (9) 580
undecimal (11) 3a4
duodecimal (12) 339
tridecimal (13) 2a9
tetradecimal (14) 261
pentadecimal (15) 21c
Palindromic in base 4

As an angle

477° = 1 × 360° + 117°
117° ≈ 2.042 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
υοζʹ
Mayan (base 20)
𝋡·𝋣·𝋱
Chinese
四百七十七
Chinese (financial)
肆佰柒拾柒
In other modern scripts
Eastern Arabic ٤٧٧ Devanagari ४७७ Bengali ৪৭৭ Tamil ௪௭௭ Thai ๔๗๗ Tibetan ༤༧༧ Khmer ៤៧៧ Lao ໔໗໗ Burmese ၄၇၇

Digit at this position in famous constants

π — Pi (π)
Digit 477 = 5
e — Euler's number (e)
Digit 477 = 0
φ — Golden ratio (φ)
Digit 477 = 7
√2 — Pythagoras's (√2)
Digit 477 = 6
ln 2 — Natural log of 2
Digit 477 = 5
γ — Euler-Mascheroni (γ)
Digit 477 = 6

Also seen as

Unicode codepoint
ǝ
Latin Small Letter Turned E
U+01DD
Lowercase letter (Ll)

UTF-8 encoding: C7 9D (2 bytes).

Hex color
#0001DD
RGB(0, 1, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.221.

Address
0.0.1.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.1.221

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

Musical pitch

Heard as a frequency, 477 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯4 (466.2 Hz, +40¢)
  • Scientific pitch (C4 = 256 Hz): B4 (483.3 Hz, -23¢)
  • Baroque pitch (A4 = 415 Hz): B4 (465.8 Hz, +41¢)

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.