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Number

1,008

1,008 is a composite number, even, a calendar year.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1008 AD

Calendar year

Year 1008 (MVIII) was a leap year starting on Thursday 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
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Friday
January 1, 1008
Ended on
Saturday
December 31, 1008
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
1,018
1018 years before 2026.

In other calendars

Hebrew
4768 / 4769 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
398 / 399 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1551 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
386 / 387 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1000 / 1001 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
930 / 929 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
10 bits
Reversed
8,001
Flips to (rotate 180°)
8,001
Recamán's sequence
a(4,403) = 1,008
Square (n²)
1,016,064
Cube (n³)
1,024,192,512
Divisor count
30
σ(n) — sum of divisors
3,224
φ(n) — Euler's totient
288
Sum of prime factors
21

Primality

Prime factorization: 2 4 × 3 2 × 7

Nearest primes: 997 (−11) · 1,009 (+1)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 28 · 36 · 42 · 48 · 56 · 63 · 72 · 84 · 112 · 126 · 144 · 168 · 252 · 336 · 504 (half) · 1008
Aliquot sum (sum of proper divisors): 2,216
Factor pairs (a × b = 1,008)
1 × 1008
2 × 504
3 × 336
4 × 252
6 × 168
7 × 144
8 × 126
9 × 112
12 × 84
14 × 72
16 × 63
18 × 56
21 × 48
24 × 42
28 × 36
First multiples
1,008 · 2,016 (double) · 3,024 · 4,032 · 5,040 · 6,048 · 7,056 · 8,064 · 9,072 · 10,080

Sums & aliquot sequence

As consecutive integers: 335 + 336 + 337 141 + 142 + … + 147 108 + 109 + … + 116 38 + 39 + … + 58
Aliquot sequence: 1,008 2,216 1,954 980 1,414 1,034 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
one thousand eight
Ordinal
1008th
Roman numeral
MVIII
Binary
1111110000
Octal
1760
Hexadecimal
0x3F0
Base64
A/A=
One's complement
64,527 (16-bit)
In other bases
ternary (3) 1101100
quaternary (4) 33300
quinary (5) 13013
senary (6) 4400
septenary (7) 2640
nonary (9) 1340
undecimal (11) 837
duodecimal (12) 700
tridecimal (13) 5c7
tetradecimal (14) 520
pentadecimal (15) 473

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αηʹ
Mayan (base 20)
𝋢·𝋪·𝋨
Chinese
一千零八
Chinese (financial)
壹仟零捌
In other modern scripts
Eastern Arabic ١٠٠٨ Devanagari १००८ Bengali ১০০৮ Tamil ௧௦௦௮ Thai ๑๐๐๘ Tibetan ༡༠༠༨ Khmer ១០០៨ Lao ໑໐໐໘ Burmese ၁၀၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,008 = 5
e — Euler's number (e)
Digit 1,008 = 0
φ — Golden ratio (φ)
Digit 1,008 = 8
√2 — Pythagoras's (√2)
Digit 1,008 = 6
ln 2 — Natural log of 2
Digit 1,008 = 9
γ — Euler-Mascheroni (γ)
Digit 1,008 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008, here are decompositions:

  • 11 + 997 = 1008
  • 17 + 991 = 1008
  • 31 + 977 = 1008
  • 37 + 971 = 1008
  • 41 + 967 = 1008
  • 61 + 947 = 1008
  • 67 + 941 = 1008
  • 71 + 937 = 1008

Showing the first eight; more decompositions exist.

Unicode codepoint
ϰ
Greek Kappa Symbol
U+03F0
Lowercase letter (Ll)

UTF-8 encoding: CF B0 (2 bytes).

Hex color
#0003F0
RGB(0, 3, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.240.

Address
0.0.3.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.240

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

Position in π

The digit sequence 1008 first appears in π at position 8,280 of the decimal expansion (the 8,280ordinal-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.