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Number

1,078

1,078 is a composite number, even, a calendar year.

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

Historical context — 1078 AD

Calendar year

Year 1078 (MLXXVIII) was a common year starting on Monday of the Julian 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
Tuesday
January 1, 1078
Ended on
Tuesday
December 31, 1078
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
948
948 years before 2026.

In other calendars

Hebrew
4838 / 4839 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
470 / 471 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Horse
Sexagenary cycle position 55 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1621 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
456 / 457 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1070 / 1071 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1000 / 999 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
11 bits
Reversed
8,701
Recamán's sequence
a(4,263) = 1,078
Square (n²)
1,162,084
Cube (n³)
1,252,726,552
Divisor count
12
σ(n) — sum of divisors
2,052
φ(n) — Euler's totient
420
Sum of prime factors
27

Primality

Prime factorization: 2 × 7 2 × 11

Nearest primes: 1,069 (−9) · 1,087 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 7 · 11 · 14 · 22 · 49 · 77 · 98 · 154 · 539 (half) · 1078
Aliquot sum (sum of proper divisors): 974
Factor pairs (a × b = 1,078)
1 × 1078
2 × 539
7 × 154
11 × 98
14 × 77
22 × 49
First multiples
1,078 · 2,156 (double) · 3,234 · 4,312 · 5,390 · 6,468 · 7,546 · 8,624 · 9,702 · 10,780

Sums & aliquot sequence

As consecutive integers: 268 + 269 + 270 + 271 151 + 152 + … + 157 93 + 94 + … + 103 25 + 26 + … + 52
Aliquot sequence: 1,078 974 490 536 484 447 153 81 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand seventy-eight
Ordinal
1078th
Roman numeral
MLXXVIII
Binary
10000110110
Octal
2066
Hexadecimal
0x436
Base64
BDY=
One's complement
64,457 (16-bit)
In other bases
ternary (3) 1110221
quaternary (4) 100312
quinary (5) 13303
senary (6) 4554
septenary (7) 3100
nonary (9) 1427
undecimal (11) 8a0
duodecimal (12) 75a
tridecimal (13) 64c
tetradecimal (14) 570
pentadecimal (15) 4bd

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αοηʹ
Mayan (base 20)
𝋢·𝋭·𝋲
Chinese
一千零七十八
Chinese (financial)
壹仟零柒拾捌
In other modern scripts
Eastern Arabic ١٠٧٨ Devanagari १०७८ Bengali ১০৭৮ Tamil ௧௦௭௮ Thai ๑๐๗๘ Tibetan ༡༠༧༨ Khmer ១០៧៨ Lao ໑໐໗໘ Burmese ၁၀၇၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,078 = 3
e — Euler's number (e)
Digit 1,078 = 3
φ — Golden ratio (φ)
Digit 1,078 = 4
√2 — Pythagoras's (√2)
Digit 1,078 = 5
ln 2 — Natural log of 2
Digit 1,078 = 0
γ — Euler-Mascheroni (γ)
Digit 1,078 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1078, here are decompositions:

  • 17 + 1061 = 1078
  • 29 + 1049 = 1078
  • 47 + 1031 = 1078
  • 59 + 1019 = 1078
  • 101 + 977 = 1078
  • 107 + 971 = 1078
  • 131 + 947 = 1078
  • 137 + 941 = 1078

Showing the first eight; more decompositions exist.

Unicode codepoint
ж
Cyrillic Small Letter Zhe
U+0436
Lowercase letter (Ll)

UTF-8 encoding: D0 B6 (2 bytes).

Hex color
#000436
RGB(0, 4, 54)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.54.

Address
0.0.4.54
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.54

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

Position in π

The digit sequence 1078 first appears in π at position 12,883 of the decimal expansion (the 12,883ordinal-suffix:rd 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.