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Number

1,406

1,406 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Pronic / Oblong Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 1406 AD

Calendar year

Year 1406 (MCDVI) was a common year starting on Friday 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
Wednesday
January 1, 1406
Ended on
Wednesday
December 31, 1406
Friday the 13ths
1
One Friday the 13th this year.
Decade
1400s
1400–1409
Century
15th century
1401–1500
Millennium
2nd millennium
1001–2000
Years ago
620
620 years before 2026.

In other calendars

Hebrew
5166 / 5167 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
808 / 809 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1949 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
784 / 785 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1398 / 1399 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1328 / 1327 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
6,041
Recamán's sequence
a(8,316) = 1,406
Square (n²)
1,976,836
Cube (n³)
2,779,431,416
Divisor count
8
σ(n) — sum of divisors
2,280
φ(n) — Euler's totient
648
Sum of prime factors
58

Primality

Prime factorization: 2 × 19 × 37

Nearest primes: 1,399 (−7) · 1,409 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 19 · 37 · 38 · 74 · 703 (half) · 1406
Aliquot sum (sum of proper divisors): 874
Factor pairs (a × b = 1,406)
1 × 1406
2 × 703
19 × 74
37 × 38
First multiples
1,406 · 2,812 (double) · 4,218 · 5,624 · 7,030 · 8,436 · 9,842 · 11,248 · 12,654 · 14,060

Sums & aliquot sequence

As consecutive integers: 350 + 351 + 352 + 353 65 + 66 + … + 83 20 + 21 + … + 56
Aliquot sequence: 1,406 874 566 286 218 112 136 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand four hundred six
Ordinal
1406th
Roman numeral
MCDVI
Binary
10101111110
Octal
2576
Hexadecimal
0x57E
Base64
BX4=
One's complement
64,129 (16-bit)
In other bases
ternary (3) 1221002
quaternary (4) 111332
quinary (5) 21111
senary (6) 10302
septenary (7) 4046
nonary (9) 1832
undecimal (11) 1069
duodecimal (12) 992
tridecimal (13) 842
tetradecimal (14) 726
pentadecimal (15) 63b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αυϛʹ
Mayan (base 20)
𝋣·𝋪·𝋦
Chinese
一千四百零六
Chinese (financial)
壹仟肆佰零陸
In other modern scripts
Eastern Arabic ١٤٠٦ Devanagari १४०६ Bengali ১৪০৬ Tamil ௧௪௦௬ Thai ๑๔๐๖ Tibetan ༡༤༠༦ Khmer ១៤០៦ Lao ໑໔໐໖ Burmese ၁၄၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,406 = 3
e — Euler's number (e)
Digit 1,406 = 0
φ — Golden ratio (φ)
Digit 1,406 = 0
√2 — Pythagoras's (√2)
Digit 1,406 = 9
ln 2 — Natural log of 2
Digit 1,406 = 7
γ — Euler-Mascheroni (γ)
Digit 1,406 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1406, here are decompositions:

  • 7 + 1399 = 1406
  • 79 + 1327 = 1406
  • 103 + 1303 = 1406
  • 109 + 1297 = 1406
  • 127 + 1279 = 1406
  • 157 + 1249 = 1406
  • 193 + 1213 = 1406
  • 277 + 1129 = 1406

Showing the first eight; more decompositions exist.

Unicode codepoint
վ
Armenian Small Letter Vew
U+057E
Lowercase letter (Ll)

UTF-8 encoding: D5 BE (2 bytes).

Hex color
#00057E
RGB(0, 5, 126)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.126.

Address
0.0.5.126
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.126

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

Position in π

The digit sequence 1406 first appears in π at position 4,194 of the decimal expansion (the 4,194ordinal-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.