1,254
1,254 is a composite number, even, a calendar year.
1,254 (one thousand two hundred fifty-four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 19. Its proper divisors sum to 1,626, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCLIV and in binary, 10011100110.
Interestingness
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
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,254 = [35; (2, 2, 2, 1, 34, 1, 2, 2, 2, 70)]
Period length 10 — the block in parentheses repeats forever.
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)
- Scientific notation
- 1.254 × 10³
- As a duration
- 1,254 s = 20 minutes, 54 seconds
As an angle
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
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'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.
UTF-8 encoding: D3 A6 (2 bytes).
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.
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.
Heard as a frequency, 1,254 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, +13¢)
- Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, -49¢ — about midway to D♯6)
- Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, +14¢)
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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.