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Number

1,278

1,278 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Ascending Digits Evil Number Gapful Number Harshad / Niven Recamán's Sequence Self Number Semiperfect Number Year

Historical context — 1278 AD

Calendar year

Year 1278 (MCCLXXVIII) was a common year starting on Saturday 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
Saturday
January 1, 1278
Ended on
Saturday
December 31, 1278
Friday the 13ths
1
One Friday the 13th this year.
Decade
1270s
1270–1279
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
748
748 years before 2026.

In other calendars

Hebrew
5038 / 5039 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
676 / 677 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1821 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
656 / 657 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1270 / 1271 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1200 / 1199 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
112
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
8,721
Recamán's sequence
a(30,492) = 1,278
Square (n²)
1,633,284
Cube (n³)
2,087,336,952
Divisor count
12
σ(n) — sum of divisors
2,808
φ(n) — Euler's totient
420
Sum of prime factors
79

Primality

Prime factorization: 2 × 3 2 × 71

Nearest primes: 1,277 (−1) · 1,279 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 9 · 18 · 71 · 142 · 213 · 426 · 639 (half) · 1278
Aliquot sum (sum of proper divisors): 1,530
Factor pairs (a × b = 1,278)
1 × 1278
2 × 639
3 × 426
6 × 213
9 × 142
18 × 71
First multiples
1,278 · 2,556 (double) · 3,834 · 5,112 · 6,390 · 7,668 · 8,946 · 10,224 · 11,502 · 12,780

Sums & aliquot sequence

As consecutive integers: 425 + 426 + 427 318 + 319 + 320 + 321 138 + 139 + … + 146 101 + 102 + … + 112
Aliquot sequence: 1,278 1,530 2,682 3,168 6,660 14,088 21,192 31,848 47,832 71,808 148,512 359,520 946,848 1,895,712 4,539,360 12,180,336 23,781,648 — unresolved within range

Representations

In words
one thousand two hundred seventy-eight
Ordinal
1278th
Roman numeral
MCCLXXVIII
Binary
10011111110
Octal
2376
Hexadecimal
0x4FE
Base64
BP4=
One's complement
64,257 (16-bit)
In other bases
ternary (3) 1202100
quaternary (4) 103332
quinary (5) 20103
senary (6) 5530
septenary (7) 3504
nonary (9) 1670
undecimal (11) a62
duodecimal (12) 8a6
tridecimal (13) 774
tetradecimal (14) 674
pentadecimal (15) 5a3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασοηʹ
Mayan (base 20)
𝋣·𝋣·𝋲
Chinese
一千二百七十八
Chinese (financial)
壹仟貳佰柒拾捌
In other modern scripts
Eastern Arabic ١٢٧٨ Devanagari १२७८ Bengali ১২৭৮ Tamil ௧௨௭௮ Thai ๑๒๗๘ Tibetan ༡༢༧༨ Khmer ១២៧៨ Lao ໑໒໗໘ Burmese ၁၂၇၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,278 = 3
e — Euler's number (e)
Digit 1,278 = 4
φ — Golden ratio (φ)
Digit 1,278 = 8
√2 — Pythagoras's (√2)
Digit 1,278 = 2
ln 2 — Natural log of 2
Digit 1,278 = 5
γ — Euler-Mascheroni (γ)
Digit 1,278 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1278, here are decompositions:

  • 19 + 1259 = 1278
  • 29 + 1249 = 1278
  • 41 + 1237 = 1278
  • 47 + 1231 = 1278
  • 61 + 1217 = 1278
  • 97 + 1181 = 1278
  • 107 + 1171 = 1278
  • 127 + 1151 = 1278

Showing the first eight; more decompositions exist.

Unicode codepoint
Ӿ
Cyrillic Capital Letter Ha With Stroke
U+04FE
Uppercase letter (Lu)

UTF-8 encoding: D3 BE (2 bytes).

Hex color
#0004FE
RGB(0, 4, 254)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.254.

Address
0.0.4.254
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.254

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

Position in π

The digit sequence 1278 first appears in π at position 15,471 of the decimal expansion (the 15,471ordinal-suffix:st 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.