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Number

1,405

1,405 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 1405 AD

Calendar year

Year 1405 (MCDV) was a common year starting on Thursday of the Julian calendar, the 1405th year of the Common Era (CE) and Anno Domini (AD) designations, the 405th year of the 2nd millennium, the 5th year of the 15th century, and the 6th year of the 1400s decade.

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
Tuesday
January 1, 1405
Ended on
Tuesday
December 31, 1405
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1400s
1400–1409
Century
15th century
1401–1500
Millennium
2nd millennium
1001–2000
Years ago
621
621 years before 2026.

In other calendars

Hebrew
5165 / 5166 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
807 / 808 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Rooster
Sexagenary cycle position 22 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1948 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
783 / 784 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1397 / 1398 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1327 / 1326 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
5,041
Recamán's sequence
a(8,318) = 1,405
Square (n²)
1,974,025
Cube (n³)
2,773,505,125
Divisor count
4
σ(n) — sum of divisors
1,692
φ(n) — Euler's totient
1,120
Sum of prime factors
286

Primality

Prime factorization: 5 × 281

Nearest primes: 1,399 (−6) · 1,409 (+4)

Divisors & multiples

All divisors (4)
1 · 5 · 281 · 1405
Aliquot sum (sum of proper divisors): 287
Factor pairs (a × b = 1,405)
1 × 1405
5 × 281
First multiples
1,405 · 2,810 (double) · 4,215 · 5,620 · 7,025 · 8,430 · 9,835 · 11,240 · 12,645 · 14,050

Sums & aliquot sequence

As a sum of two squares: 6² + 37² = 26² + 27²
As consecutive integers: 702 + 703 279 + 280 + 281 + 282 + 283 136 + 137 + … + 145
Aliquot sequence: 1,405 287 49 8 7 1 0 — terminates at zero

Representations

In words
one thousand four hundred five
Ordinal
1405th
Roman numeral
MCDV
Binary
10101111101
Octal
2575
Hexadecimal
0x57D
Base64
BX0=
One's complement
64,130 (16-bit)
In other bases
ternary (3) 1221001
quaternary (4) 111331
quinary (5) 21110
senary (6) 10301
septenary (7) 4045
nonary (9) 1831
undecimal (11) 1068
duodecimal (12) 991
tridecimal (13) 841
tetradecimal (14) 725
pentadecimal (15) 63a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αυεʹ
Mayan (base 20)
𝋣·𝋪·𝋥
Chinese
一千四百零五
Chinese (financial)
壹仟肆佰零伍
In other modern scripts
Eastern Arabic ١٤٠٥ Devanagari १४०५ Bengali ১৪০৫ Tamil ௧௪௦௫ Thai ๑๔๐๕ Tibetan ༡༤༠༥ Khmer ១៤០៥ Lao ໑໔໐໕ Burmese ၁၄၀၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,405 = 2
e — Euler's number (e)
Digit 1,405 = 5
φ — Golden ratio (φ)
Digit 1,405 = 3
√2 — Pythagoras's (√2)
Digit 1,405 = 3
ln 2 — Natural log of 2
Digit 1,405 = 4
γ — Euler-Mascheroni (γ)
Digit 1,405 = 3

Also seen as

Unicode codepoint
ս
Armenian Small Letter Seh
U+057D
Lowercase letter (Ll)

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

Hex color
#00057D
RGB(0, 5, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.125.

Address
0.0.5.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.125

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

Position in π

The digit sequence 1405 first appears in π at position 8,245 of the decimal expansion (the 8,245ordinal-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.