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Number

916

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

Deficient Number Flippable Odious Number Pernicious Number Recamán's Sequence Self Number Strobogrammatic Year

Historical context — 916 AD

Calendar year

Year 916 (CMXVI) was a leap year starting on Monday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Historical context — 916 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
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Wednesday
January 1, 916
Ended on
Thursday
December 31, 916
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
910s
910–919
Century
10th century
901–1000
Millennium
1st millennium
1–1000
Years ago
1,110
1110 years before 2026.

In other calendars

Hebrew
4676 / 4677 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
303 / 304 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Rat
Sexagenary cycle position 13 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1459 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
294 / 295 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
908 / 909 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
838 / 837 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
16
Digit product
54
Digital root
7
Palindrome
No
Bit width
10 bits
Reversed
619
Recamán's sequence
a(583) = 916
Square (n²)
839,056
Cube (n³)
768,575,296
Divisor count
6
σ(n) — sum of divisors
1,610
φ(n) — Euler's totient
456
Sum of prime factors
233

Primality

Prime factorization: 2 2 × 229

Nearest primes: 911 (−5) · 919 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 229 · 458 (half) · 916
Aliquot sum (sum of proper divisors): 694
Factor pairs (a × b = 916)
1 × 916
2 × 458
4 × 229
First multiples
916 · 1,832 (double) · 2,748 · 3,664 · 4,580 · 5,496 · 6,412 · 7,328 · 8,244 · 9,160

Sums & aliquot sequence

As a sum of two squares: 4² + 30²
As consecutive integers: 111 + 112 + … + 118
Aliquot sequence: 916 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
nine hundred sixteen
Ordinal
916th
Roman numeral
CMXVI
Binary
1110010100
Octal
1624
Hexadecimal
0x394
Base64
A5Q=
One's complement
64,619 (16-bit)
In other bases
ternary (3) 1020221
quaternary (4) 32110
quinary (5) 12131
senary (6) 4124
septenary (7) 2446
nonary (9) 1227
undecimal (11) 763
duodecimal (12) 644
tridecimal (13) 556
tetradecimal (14) 496
pentadecimal (15) 411

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ϡιϛʹ
Mayan (base 20)
𝋢·𝋥·𝋰
Chinese
九百一十六
Chinese (financial)
玖佰壹拾陸
In other modern scripts
Eastern Arabic ٩١٦ Devanagari ९१६ Bengali ৯১৬ Tamil ௯௧௬ Thai ๙๑๖ Tibetan ༩༡༦ Khmer ៩១៦ Lao ໙໑໖ Burmese ၉၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 916 = 5
e — Euler's number (e)
Digit 916 = 0
φ — Golden ratio (φ)
Digit 916 = 9
√2 — Pythagoras's (√2)
Digit 916 = 3
ln 2 — Natural log of 2
Digit 916 = 8
γ — Euler-Mascheroni (γ)
Digit 916 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 916, here are decompositions:

  • 5 + 911 = 916
  • 29 + 887 = 916
  • 53 + 863 = 916
  • 59 + 857 = 916
  • 89 + 827 = 916
  • 107 + 809 = 916
  • 173 + 743 = 916
  • 197 + 719 = 916

Showing the first eight; more decompositions exist.

Unicode codepoint
Δ
Greek Capital Letter Delta
U+0394
Uppercase letter (Lu)

UTF-8 encoding: CE 94 (2 bytes).

Hex color
#000394
RGB(0, 3, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.148.

Address
0.0.3.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.148

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

NANP area code 916

The number 916 is an active NANP area code (North American Numbering Plan).

Primary area
Sacramento
Region
California
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.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000916
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.