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Number

1,414

1,414 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Self Number Sphenic Number Squarefree Year

Historical context — 1414 AD

Calendar year

Year 1414 (MCDXIV) was a common year starting on Monday 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, 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

Nearest primes: 1,409 (−5) · 1,423 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 101 · 202 · 707 (half) · 1414
Aliquot sum (sum of proper divisors): 1,034
Factor pairs (a × b = 1,414)
1 × 1414
2 × 707
7 × 202
14 × 101
First multiples
1,414 · 2,828 (double) · 4,242 · 5,656 · 7,070 · 8,484 · 9,898 · 11,312 · 12,726 · 14,140

Sums & aliquot sequence

As consecutive integers: 352 + 353 + 354 + 355 199 + 200 + … + 205 37 + 38 + … + 64
Aliquot sequence: 1,414 1,034 694 350 394 200 265 59 1 0 — terminates at zero

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)
In other bases
ternary (3) 1221101
quaternary (4) 112012
quinary (5) 21124
senary (6) 10314
septenary (7) 4060
nonary (9) 1841
undecimal (11) 1076
duodecimal (12) 99a
tridecimal (13) 84a
tetradecimal (14) 730
pentadecimal (15) 644

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
In other modern scripts
Eastern Arabic ١٤١٤ Devanagari १४१४ Bengali ১৪১৪ Tamil ௧௪௧௪ Thai ๑๔๑๔ Tibetan ༡༤༡༤ Khmer ១៤១៤ Lao ໑໔໑໔ Burmese ၁၄၁၄

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 decomposition

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.

Unicode codepoint
ֆ
Armenian Small Letter Feh
U+0586
Lowercase letter (Ll)

UTF-8 encoding: D6 86 (2 bytes).

Hex color
#000586
RGB(0, 5, 134)
IPv4 address

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.

Position in π

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.