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Number

1,274

1,274 is a composite number, even, a calendar year.

1,274 (one thousand two hundred seventy-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 7² × 13. Written other ways, in Roman numerals it is MCCLXXIV and in binary, 10011111010.

Cube-Free Deficient Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Year

Interestingness

Historical context — 1274 AD

Calendar year

Year 1274 (MCCLXXIV) was a common year starting on Monday 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, 1274
Ended on
Monday
December 31, 1274
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1270s
1270–1279
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
752
752 years before 2026.

In other calendars

Hebrew
5034 / 5035 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
672 / 673 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Dog
Sexagenary cycle position 11 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1817 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
652 / 653 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1266 / 1267 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1196 / 1195 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
56
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
4,721
Recamán's sequence
a(8,440) = 1,274
Square (n²)
1,623,076
Cube (n³)
2,067,798,824
Divisor count
12
σ(n) — sum of divisors
2,394
φ(n) — Euler's totient
504
Sum of prime factors
29

Primality

Prime factorization: 2 × 7 2 × 13

Nearest primes: 1,259 (−15) · 1,277 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 7 · 13 · 14 · 26 · 49 · 91 · 98 · 182 · 637 (half) · 1274
Aliquot sum (sum of proper divisors): 1,120
Factor pairs (a × b = 1,274)
1 × 1274
2 × 637
7 × 182
13 × 98
14 × 91
26 × 49
First multiples
1,274 · 2,548 (double) · 3,822 · 5,096 · 6,370 · 7,644 · 8,918 · 10,192 · 11,466 · 12,740

Sums & aliquot sequence

As a sum of two squares: 7² + 35²
As consecutive integers: 317 + 318 + 319 + 320 179 + 180 + … + 185 92 + 93 + … + 104 32 + 33 + … + 59
Aliquot sequence: 1,274 1,120 1,904 2,560 3,578 1,792 2,296 2,744 3,256 3,584 4,600 6,560 9,316 8,072 7,078 3,542 3,370 — unresolved within range

Continued fraction of √n

√1,274 = [35; (1, 2, 3, 1, 6, 2, 1, 2, 2, 2, 1, 2, 6, 1, 3, 2, 1, 70)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one thousand two hundred seventy-four
Ordinal
1274th
Roman numeral
MCCLXXIV
Binary
10011111010
Octal
2372
Hexadecimal
0x4FA
Base64
BPo=
One's complement
64,261 (16-bit)
Scientific notation
1.274 × 10³
As a duration
1,274 s = 21 minutes, 14 seconds
In other bases
ternary (3) 1202012
quaternary (4) 103322
quinary (5) 20044
senary (6) 5522
septenary (7) 3500
nonary (9) 1665
undecimal (11) a59
duodecimal (12) 8a2
tridecimal (13) 770
tetradecimal (14) 670
pentadecimal (15) 59e

As an angle

1,274° = 3 × 360° + 194°
194° ≈ 3.386 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασοδʹ
Mayan (base 20)
𝋣·𝋣·𝋮
Chinese
一千二百七十四
Chinese (financial)
壹仟貳佰柒拾肆
In other modern scripts
Eastern Arabic ١٢٧٤ Devanagari १२७४ Bengali ১২৭৪ Tamil ௧௨௭௪ Thai ๑๒๗๔ Tibetan ༡༢༧༤ Khmer ១២៧៤ Lao ໑໒໗໔ Burmese ၁၂၇၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,274 = 0
e — Euler's number (e)
Digit 1,274 = 3
φ — Golden ratio (φ)
Digit 1,274 = 5
√2 — Pythagoras's (√2)
Digit 1,274 = 8
ln 2 — Natural log of 2
Digit 1,274 = 6
γ — Euler-Mascheroni (γ)
Digit 1,274 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1274, here are decompositions:

  • 37 + 1237 = 1274
  • 43 + 1231 = 1274
  • 61 + 1213 = 1274
  • 73 + 1201 = 1274
  • 103 + 1171 = 1274
  • 151 + 1123 = 1274
  • 157 + 1117 = 1274
  • 181 + 1093 = 1274

Showing the first eight; more decompositions exist.

Unicode codepoint
Ӻ
Cyrillic Capital Letter Ghe With Stroke And Hook
U+04FA
Uppercase letter (Lu)

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

Hex color
#0004FA
RGB(0, 4, 250)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.250.

Address
0.0.4.250
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.250

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

Musical pitch

Heard as a frequency, 1,274 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, +41¢)
  • Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, -22¢)
  • Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, +42¢)
Position in π

The digit sequence 1274 first appears in π at position 3,426 of the decimal expansion (the 3,426ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.