1,414
1,414 is a composite number, even, a calendar year.
1,414 (one thousand four hundred fourteen) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 101. Written other ways, in Roman numerals it is MCDXIV and in binary, 10110000110.
Interestingness
Historical context — 1414 AD
Calendar year
Year 1414 (MCDXIV) was a common year starting on Monday 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
- 52
- Started on
-
Saturday
January 1, 1414
- Ended on
-
Saturday
December 31, 1414
- Friday the 13ths
-
1
One Friday the 13th this year.
- Decade
-
1410s
1410–1419
- Century
-
15th century
1401–1500
- Millennium
-
2nd millennium
1001–2000
- Years ago
-
612
612 years before 2026.
In other calendars
- Hebrew
-
5174 / 5175 AM
Rosh Hashanah falls in September/October.
- Islamic Hijri
-
816 / 817 AH
Lunar calendar; year spans differ from Gregorian.
- Chinese
-
Year of the zodiac:Wood zodiac:Horse
Sexagenary cycle position 31 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
1957 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Persian Solar Hijri
-
792 / 793 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
- Ethiopian
-
1406 / 1407 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
1336 / 1335 Saka
Indian national calendar; year starts in March.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 10
- Digit product
- 16
- Digital root
- 1
- Palindrome
- No
- Bit width
- 11 bits
- Reversed
- 4,141
- Recamán's sequence
- a(56,127) = 1,414
- Square (n²)
- 1,999,396
- Cube (n³)
- 2,827,145,944
- Divisor count
- 8
- σ(n) — sum of divisors
- 2,448
- φ(n) — Euler's totient
- 600
- Sum of prime factors
- 110
Primality
Prime factorization: 2 × 7 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,414 = [37; (1, 1, 1, 1, 11, 1, 14, 8, 3, 2, 5, 2, 1, 4, 1, 2, 5, 2, 3, 8, 14, 1, 11, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one thousand four hundred fourteen
- Ordinal
- 1414th
- Roman numeral
- MCDXIV
- Binary
- 10110000110
- Octal
- 2606
- Hexadecimal
- 0x586
- Base64
- BYY=
- One's complement
- 64,121 (16-bit)
- Scientific notation
- 1.414 × 10³
- As a duration
- 1,414 s = 23 minutes, 34 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵αυιδʹ
- Mayan (base 20)
- 𝋣·𝋪·𝋮
- Chinese
- 一千四百一十四
- Chinese (financial)
- 壹仟肆佰壹拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 1,414 = 6
- e — Euler's number (e)
- Digit 1,414 = 5
- φ — Golden ratio (φ)
- Digit 1,414 = 2
- √2 — Pythagoras's (√2)
- Digit 1,414 = 2
- ln 2 — Natural log of 2
- Digit 1,414 = 1
- γ — Euler-Mascheroni (γ)
- Digit 1,414 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1414, here are decompositions:
- 5 + 1409 = 1414
- 41 + 1373 = 1414
- 47 + 1367 = 1414
- 53 + 1361 = 1414
- 107 + 1307 = 1414
- 113 + 1301 = 1414
- 131 + 1283 = 1414
- 137 + 1277 = 1414
Showing the first eight; more decompositions exist.
UTF-8 encoding: D6 86 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.134.
- Address
- 0.0.5.134
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.5.134
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 1,414 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F6 (1396.9 Hz, +21¢)
- Scientific pitch (C4 = 256 Hz): F♯6 (1448.2 Hz, -41¢)
- Baroque pitch (A4 = 415 Hz): F♯6 (1395.9 Hz, +22¢)
The digit sequence 1414 first appears in π at position 1,636 of the decimal expansion (the 1,636ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.