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Number

918

918 is a composite number, even, a calendar year.

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

Historical context — 918 AD

Calendar year

Year 918 (CMXVIII) was a common 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 →

Historical context — 918 BC

Decade

The 910s BC is a decade that lasted from 919 BC to 910 BC.

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
Saturday
January 1, 918
Ended on
Saturday
December 31, 918
Friday the 13ths
1
One Friday the 13th this year.
Decade
910s
910–919
Century
10th century
901–1000
Millennium
1st millennium
1–1000
Years ago
1,108
1108 years before 2026.

In other calendars

Hebrew
4678 / 4679 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
305 / 306 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1461 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
296 / 297 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
910 / 911 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
840 / 839 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
18
Digit product
72
Digital root
9
Palindrome
No
Bit width
10 bits
Reversed
819
Flips to (rotate 180°)
816
Recamán's sequence
a(587) = 918
Square (n²)
842,724
Cube (n³)
773,620,632
Divisor count
16
σ(n) — sum of divisors
2,160
φ(n) — Euler's totient
288
Sum of prime factors
28

Primality

Prime factorization: 2 × 3 3 × 17

Nearest primes: 911 (−7) · 919 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 9 · 17 · 18 · 27 · 34 · 51 · 54 · 102 · 153 · 306 · 459 (half) · 918
Aliquot sum (sum of proper divisors): 1,242
Factor pairs (a × b = 918)
1 × 918
2 × 459
3 × 306
6 × 153
9 × 102
17 × 54
18 × 51
27 × 34
First multiples
918 · 1,836 (double) · 2,754 · 3,672 · 4,590 · 5,508 · 6,426 · 7,344 · 8,262 · 9,180

Sums & aliquot sequence

As consecutive integers: 305 + 306 + 307 228 + 229 + 230 + 231 98 + 99 + … + 106 71 + 72 + … + 82
Aliquot sequence: 918 1,242 1,638 2,730 5,334 6,954 7,926 7,938 12,753 7,267 785 163 1 0 — terminates at zero

Representations

In words
nine hundred eighteen
Ordinal
918th
Roman numeral
CMXVIII
Binary
1110010110
Octal
1626
Hexadecimal
0x396
Base64
A5Y=
One's complement
64,617 (16-bit)
In other bases
ternary (3) 1021000
quaternary (4) 32112
quinary (5) 12133
senary (6) 4130
septenary (7) 2451
nonary (9) 1230
undecimal (11) 765
duodecimal (12) 646
tridecimal (13) 558
tetradecimal (14) 498
pentadecimal (15) 413

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ϡιηʹ
Mayan (base 20)
𝋢·𝋥·𝋲
Chinese
九百一十八
Chinese (financial)
玖佰壹拾捌
In other modern scripts
Eastern Arabic ٩١٨ Devanagari ९१८ Bengali ৯১৮ Tamil ௯௧௮ Thai ๙๑๘ Tibetan ༩༡༨ Khmer ៩១៨ Lao ໙໑໘ Burmese ၉၁၈

Digit at this position in famous constants

π — Pi (π)
Digit 918 = 6
e — Euler's number (e)
Digit 918 = 9
φ — Golden ratio (φ)
Digit 918 = 2
√2 — Pythagoras's (√2)
Digit 918 = 4
ln 2 — Natural log of 2
Digit 918 = 8
γ — Euler-Mascheroni (γ)
Digit 918 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 918, here are decompositions:

  • 7 + 911 = 918
  • 11 + 907 = 918
  • 31 + 887 = 918
  • 37 + 881 = 918
  • 41 + 877 = 918
  • 59 + 859 = 918
  • 61 + 857 = 918
  • 79 + 839 = 918

Showing the first eight; more decompositions exist.

Unicode codepoint
Ζ
Greek Capital Letter Zeta
U+0396
Uppercase letter (Lu)

UTF-8 encoding: CE 96 (2 bytes).

Hex color
#000396
RGB(0, 3, 150)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.150.

Address
0.0.3.150
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.150

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

NANP area code 918

The number 918 is an active NANP area code (North American Numbering Plan).

Primary area
Tulsa
Region
Oklahoma
Country
United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.