Number

1,077

1,077 is a composite number, odd, a calendar year.

1,077 (one thousand seventy-seven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 359. Written other ways, in Roman numerals it is MLXXVII and in binary, 10000110101.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,065 1,066 1,067 1,068 1,069 1,070 1,071 1,072 1,073 1,074 1,075 1,076 1,077 1,078 1,079 1,080 1,081 1,082 1,083 1,084 1,085 1,086 1,087 1,088 1,089

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Historical context — 1077 AD

Calendar year

Year 1077 (MLXXVII) was a common year starting on Sunday 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, 1077
Ended on: Monday
December 31, 1077
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1070s
1070–1079
Century: 11th century
1001–1100
Millennium: 2nd millennium
1001–2000
Years ago: 949
949 years before 2026.

In other calendars

Hebrew: 4837 / 4838 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 469 / 470 AH
Lunar calendar; year spans differ from Gregorian.
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: 1620 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 455 / 456 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1069 / 1070 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 999 / 998 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 7,701
Recamán's sequence: a(4,265) = 1,077
Square (n²): 1,159,929
Cube (n³): 1,249,243,533
Divisor count: 4
σ(n) — sum of divisors: 1,440
φ(n) — Euler's totient: 716
Sum of prime factors: 362

Primality

Prime factorization: 3 × 359

Nearest primes: 1,069 (−8) · 1,087 (+10)

Divisors & multiples

All divisors (4)

1 · 3 · 359 · 1077

Aliquot sum (sum of proper divisors): 363

Factor pairs (a × b = 1,077)

1 × 1077

3 × 359

First multiples

1,077 · 2,154 (double) · 3,231 · 4,308 · 5,385 · 6,462 · 7,539 · 8,616 · 9,693 · 10,770

Sums & aliquot sequence

As consecutive integers: 538 + 539 358 + 359 + 360 177 + 178 + 179 + 180 + 181 + 182

Aliquot sequence: 1,077 → 363 → 169 → 14 → 10 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,077 = [32; (1, 4, 2, 15, 1, 20, 1, 15, 2, 4, 1, 64)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one thousand seventy-seven
Ordinal: 1077th
Roman numeral: MLXXVII
Binary: 10000110101
Octal: 2065
Hexadecimal: 0x435
Base64: BDU=
One's complement: 64,458 (16-bit)
Scientific notation: 1.077 × 10³
As a duration: 1,077 s = 17 minutes, 57 seconds

In other bases

ternary (3) 1110220

quaternary (4) 100311

quinary (5) 13302

senary (6) 4553

septenary (7) 3066

nonary (9) 1426

undecimal (11) 89a

duodecimal (12) 759

tridecimal (13) 64b

tetradecimal (14) 56d

pentadecimal (15) 4bc

As an angle

1,077° = 2 × 360° + 357°

357° ≈ 6.231 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αοζʹ
Mayan (base 20): 𝋢·𝋭·𝋱
Chinese: 一千零七十七
Chinese (financial): 壹仟零柒拾柒

In other modern scripts

Eastern Arabic ١٠٧٧ Devanagari १०७७ Bengali ১০৭৭ Tamil ௧௦௭௭ Thai ๑๐๗๗ Tibetan ༡༠༧༧ Khmer ១០៧៧ Lao ໑໐໗໗ Burmese ၁၀၇၇

Digit at this position in famous constants

π — Pi (π): Digit 1,077 = 1
e — Euler's number (e): Digit 1,077 = 9
φ — Golden ratio (φ): Digit 1,077 = 2
√2 — Pythagoras's (√2): Digit 1,077 = 4
ln 2 — Natural log of 2: Digit 1,077 = 3
γ — Euler-Mascheroni (γ): Digit 1,077 = 7

Also seen as

Unicode codepoint

Cyrillic Small Letter Ie

U+0435

Lowercase letter (Ll)

UTF-8 encoding: D0 B5 (2 bytes).

Lookup U+0435 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000435

RGB(0, 4, 53)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.53.

Address: 0.0.4.53
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.53

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

Musical pitch

Heard as a frequency, 1,077 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +50¢ — about midway to C♯6)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -13¢)
Baroque pitch (A4 = 415 Hz): D6 (1107.9 Hz, -49¢ — about midway to C♯6)

Position in π

The digit sequence 1077 first appears in π at position 3,939 of the decimal expansion (the 3,939ordinal-suffix:th 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 1077 on Pi Search ↗