number.wiki
Number

1,006

1,006 is a composite number, even, a calendar year.

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

Historical context — 1006 AD

Calendar year

Year 1006 (MVI) was a common year starting on Tuesday 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, 1006
Ended on
Wednesday
December 31, 1006
Friday the 13ths
1
One Friday the 13th this year.
Decade
1000s
1000–1009
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
1,020
1020 years before 2026.

In other calendars

Hebrew
4766 / 4767 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
396 / 397 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Horse
Sexagenary cycle position 43 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1549 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
384 / 385 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
998 / 999 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
928 / 927 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
10 bits
Reversed
6,001
Flips to (rotate 180°)
9,001
Recamán's sequence
a(4,407) = 1,006
Square (n²)
1,012,036
Cube (n³)
1,018,108,216
Divisor count
4
σ(n) — sum of divisors
1,512
φ(n) — Euler's totient
502
Sum of prime factors
505

Primality

Prime factorization: 2 × 503

Nearest primes: 997 (−9) · 1,009 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 503 (half) · 1006
Aliquot sum (sum of proper divisors): 506
Factor pairs (a × b = 1,006)
1 × 1006
2 × 503
First multiples
1,006 · 2,012 (double) · 3,018 · 4,024 · 5,030 · 6,036 · 7,042 · 8,048 · 9,054 · 10,060

Sums & aliquot sequence

As consecutive integers: 250 + 251 + 252 + 253
Aliquot sequence: 1,006 506 358 182 154 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand six
Ordinal
1006th
Roman numeral
MVI
Binary
1111101110
Octal
1756
Hexadecimal
0x3EE
Base64
A+4=
One's complement
64,529 (16-bit)
In other bases
ternary (3) 1101021
quaternary (4) 33232
quinary (5) 13011
senary (6) 4354
septenary (7) 2635
nonary (9) 1337
undecimal (11) 835
duodecimal (12) 6ba
tridecimal (13) 5c5
tetradecimal (14) 51c
pentadecimal (15) 471

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αϛʹ
Mayan (base 20)
𝋢·𝋪·𝋦
Chinese
一千零六
Chinese (financial)
壹仟零陸
In other modern scripts
Eastern Arabic ١٠٠٦ Devanagari १००६ Bengali ১০০৬ Tamil ௧௦௦௬ Thai ๑๐๐๖ Tibetan ༡༠༠༦ Khmer ១០០៦ Lao ໑໐໐໖ Burmese ၁၀၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,006 = 5
e — Euler's number (e)
Digit 1,006 = 3
φ — Golden ratio (φ)
Digit 1,006 = 7
√2 — Pythagoras's (√2)
Digit 1,006 = 9
ln 2 — Natural log of 2
Digit 1,006 = 1
γ — Euler-Mascheroni (γ)
Digit 1,006 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006, here are decompositions:

  • 23 + 983 = 1006
  • 29 + 977 = 1006
  • 53 + 953 = 1006
  • 59 + 947 = 1006
  • 149 + 857 = 1006
  • 167 + 839 = 1006
  • 179 + 827 = 1006
  • 197 + 809 = 1006

Showing the first eight; more decompositions exist.

Unicode codepoint
Ϯ
Coptic Capital Letter Dei
U+03EE
Uppercase letter (Lu)

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

Hex color
#0003EE
RGB(0, 3, 238)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.238.

Address
0.0.3.238
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.238

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

Position in π

The digit sequence 1006 first appears in π at position 3,480 of the decimal expansion (the 3,480ordinal-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.