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Number

1,254

1,254 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number Squarefree Year

Historical context — 1254 AD

Calendar year

Year 1254 (MCCLIV) was a common year starting on Thursday 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1254
Ended on
Thursday
December 31, 1254
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1250s
1250–1259
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
772
772 years before 2026.

In other calendars

Hebrew
5014 / 5015 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
651 / 652 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Tiger
Sexagenary cycle position 51 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1797 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
632 / 633 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1246 / 1247 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1176 / 1175 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
40
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
4,521
Recamán's sequence
a(8,480) = 1,254
Square (n²)
1,572,516
Cube (n³)
1,971,935,064
Divisor count
16
σ(n) — sum of divisors
2,880
φ(n) — Euler's totient
360
Sum of prime factors
35

Primality

Prime factorization: 2 × 3 × 11 × 19

Nearest primes: 1,249 (−5) · 1,259 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 11 · 19 · 22 · 33 · 38 · 57 · 66 · 114 · 209 · 418 · 627 (half) · 1254
Aliquot sum (sum of proper divisors): 1,626
Factor pairs (a × b = 1,254)
1 × 1254
2 × 627
3 × 418
6 × 209
11 × 114
19 × 66
22 × 57
33 × 38
First multiples
1,254 · 2,508 (double) · 3,762 · 5,016 · 6,270 · 7,524 · 8,778 · 10,032 · 11,286 · 12,540

Sums & aliquot sequence

As consecutive integers: 417 + 418 + 419 312 + 313 + 314 + 315 109 + 110 + … + 119 99 + 100 + … + 110
Aliquot sequence: 1,254 1,626 1,638 2,730 5,334 6,954 7,926 7,938 12,753 7,267 785 163 1 0 — terminates at zero

Representations

In words
one thousand two hundred fifty-four
Ordinal
1254th
Roman numeral
MCCLIV
Binary
10011100110
Octal
2346
Hexadecimal
0x4E6
Base64
BOY=
One's complement
64,281 (16-bit)
In other bases
ternary (3) 1201110
quaternary (4) 103212
quinary (5) 20004
senary (6) 5450
septenary (7) 3441
nonary (9) 1643
undecimal (11) a40
duodecimal (12) 886
tridecimal (13) 756
tetradecimal (14) 658
pentadecimal (15) 589

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασνδʹ
Mayan (base 20)
𝋣·𝋢·𝋮
Chinese
一千二百五十四
Chinese (financial)
壹仟貳佰伍拾肆
In other modern scripts
Eastern Arabic ١٢٥٤ Devanagari १२५४ Bengali ১২৫৪ Tamil ௧௨௫௪ Thai ๑๒๕๔ Tibetan ༡༢༥༤ Khmer ១២៥៤ Lao ໑໒໕໔ Burmese ၁၂၅၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,254 = 4
e — Euler's number (e)
Digit 1,254 = 4
φ — Golden ratio (φ)
Digit 1,254 = 0
√2 — Pythagoras's (√2)
Digit 1,254 = 5
ln 2 — Natural log of 2
Digit 1,254 = 5
γ — Euler-Mascheroni (γ)
Digit 1,254 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1254, here are decompositions:

  • 5 + 1249 = 1254
  • 17 + 1237 = 1254
  • 23 + 1231 = 1254
  • 31 + 1223 = 1254
  • 37 + 1217 = 1254
  • 41 + 1213 = 1254
  • 53 + 1201 = 1254
  • 61 + 1193 = 1254

Showing the first eight; more decompositions exist.

Unicode codepoint
Ӧ
Cyrillic Capital Letter O With Diaeresis
U+04E6
Uppercase letter (Lu)

UTF-8 encoding: D3 A6 (2 bytes).

Code page identifier

Code page 1254 is Windows-1254 (Turkish) — Microsoft Windows encoding for Turkish.

Code pages are integer identifiers used by Windows and other systems to refer to specific character encodings.

Hex color
#0004E6
RGB(0, 4, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.230.

Address
0.0.4.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.230

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

Position in π

The digit sequence 1254 first appears in π at position 15,458 of the decimal expansion (the 15,458ordinal-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.