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Number

1,005

1,005 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Gapful Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 1005 AD

Calendar year

Year 1005 (MV) 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
Tuesday
January 1, 1005
Ended on
Tuesday
December 31, 1005
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1000s
1000–1009
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
1,021
1021 years before 2026.

In other calendars

Hebrew
4765 / 4766 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
395 / 396 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Snake
Sexagenary cycle position 42 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1548 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
383 / 384 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
997 / 998 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
927 / 926 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
10 bits
Reversed
5,001
Recamán's sequence
a(4,409) = 1,005
Square (n²)
1,010,025
Cube (n³)
1,015,075,125
Divisor count
8
σ(n) — sum of divisors
1,632
φ(n) — Euler's totient
528
Sum of prime factors
75

Primality

Prime factorization: 3 × 5 × 67

Nearest primes: 997 (−8) · 1,009 (+4)

Divisors & multiples

All divisors (8)
1 · 3 · 5 · 15 · 67 · 201 · 335 · 1005
Aliquot sum (sum of proper divisors): 627
Factor pairs (a × b = 1,005)
1 × 1005
3 × 335
5 × 201
15 × 67
First multiples
1,005 · 2,010 (double) · 3,015 · 4,020 · 5,025 · 6,030 · 7,035 · 8,040 · 9,045 · 10,050

Sums & aliquot sequence

As consecutive integers: 502 + 503 334 + 335 + 336 199 + 200 + 201 + 202 + 203 165 + 166 + 167 + 168 + 169 + 170
Aliquot sequence: 1,005 627 333 161 31 1 0 — terminates at zero

Representations

In words
one thousand five
Ordinal
1005th
Roman numeral
MV
Binary
1111101101
Octal
1755
Hexadecimal
0x3ED
Base64
A+0=
One's complement
64,530 (16-bit)
In other bases
ternary (3) 1101020
quaternary (4) 33231
quinary (5) 13010
senary (6) 4353
septenary (7) 2634
nonary (9) 1336
undecimal (11) 834
duodecimal (12) 6b9
tridecimal (13) 5c4
tetradecimal (14) 51b
pentadecimal (15) 470

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αεʹ
Mayan (base 20)
𝋢·𝋪·𝋥
Chinese
一千零五
Chinese (financial)
壹仟零伍
In other modern scripts
Eastern Arabic ١٠٠٥ Devanagari १००५ Bengali ১০০৫ Tamil ௧௦௦௫ Thai ๑๐๐๕ Tibetan ༡༠༠༥ Khmer ១០០៥ Lao ໑໐໐໕ Burmese ၁၀၀၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,005 = 9
e — Euler's number (e)
Digit 1,005 = 2
φ — Golden ratio (φ)
Digit 1,005 = 6
√2 — Pythagoras's (√2)
Digit 1,005 = 6
ln 2 — Natural log of 2
Digit 1,005 = 1
γ — Euler-Mascheroni (γ)
Digit 1,005 = 4

Also seen as

Unicode codepoint
ϭ
Coptic Small Letter Shima
U+03ED
Lowercase letter (Ll)

UTF-8 encoding: CF AD (2 bytes).

Hex color
#0003ED
RGB(0, 3, 237)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.237.

Address
0.0.3.237
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.237

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

Position in π

The digit sequence 1005 first appears in π at position 2,880 of the decimal expansion (the 2,880ordinal-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.