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Number

1,077

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

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

Historical context — 1077 AD

Calendar year

Year 1077 (MLXXVII) was a common year starting on Sunday of the Julian calendar.

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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

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)
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

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
е
Cyrillic Small Letter Ie
U+0435
Lowercase letter (Ll)

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

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.

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.