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Number

913

913 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiprime Smith Number Squarefree Year

Historical context — 913 AD

Calendar year

Year 913 (CMXIII) was a common year starting on Friday of the Julian calendar.

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Historical context — 913 BC

Decade

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

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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
Sunday
January 1, 913
Ended on
Sunday
December 31, 913
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
1,113
1113 years before 2026.

In other calendars

Hebrew
4673 / 4674 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
300 / 301 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Rooster
Sexagenary cycle position 10 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1456 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
291 / 292 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
905 / 906 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
835 / 834 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
13
Digit product
27
Digital root
4
Palindrome
No
Bit width
10 bits
Reversed
319
Recamán's sequence
a(509) = 913
Square (n²)
833,569
Cube (n³)
761,048,497
Divisor count
4
σ(n) — sum of divisors
1,008
φ(n) — Euler's totient
820
Sum of prime factors
94

Primality

Prime factorization: 11 × 83

Nearest primes: 911 (−2) · 919 (+6)

Divisors & multiples

All divisors (4)
1 · 11 · 83 · 913
Aliquot sum (sum of proper divisors): 95
Factor pairs (a × b = 913)
1 × 913
11 × 83
First multiples
913 · 1,826 (double) · 2,739 · 3,652 · 4,565 · 5,478 · 6,391 · 7,304 · 8,217 · 9,130

Sums & aliquot sequence

As consecutive integers: 456 + 457 78 + 79 + … + 88 31 + 32 + … + 52
Aliquot sequence: 913 95 25 6 6 — reaches a perfect number

Representations

In words
nine hundred thirteen
Ordinal
913th
Roman numeral
CMXIII
Binary
1110010001
Octal
1621
Hexadecimal
0x391
Base64
A5E=
One's complement
64,622 (16-bit)
In other bases
ternary (3) 1020211
quaternary (4) 32101
quinary (5) 12123
senary (6) 4121
septenary (7) 2443
nonary (9) 1224
undecimal (11) 760
duodecimal (12) 641
tridecimal (13) 553
tetradecimal (14) 493
pentadecimal (15) 40d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
ϡιγʹ
Mayan (base 20)
𝋢·𝋥·𝋭
Chinese
九百一十三
Chinese (financial)
玖佰壹拾參
In other modern scripts
Eastern Arabic ٩١٣ Devanagari ९१३ Bengali ৯১৩ Tamil ௯௧௩ Thai ๙๑๓ Tibetan ༩༡༣ Khmer ៩១៣ Lao ໙໑໓ Burmese ၉၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 913 = 8
e — Euler's number (e)
Digit 913 = 8
φ — Golden ratio (φ)
Digit 913 = 2
√2 — Pythagoras's (√2)
Digit 913 = 2
ln 2 — Natural log of 2
Digit 913 = 2
γ — Euler-Mascheroni (γ)
Digit 913 = 8

Also seen as

Unicode codepoint
Α
Greek Capital Letter Alpha
U+0391
Uppercase letter (Lu)

UTF-8 encoding: CE 91 (2 bytes).

Hex color
#000391
RGB(0, 3, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.145.

Address
0.0.3.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.145

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

NANP area code 913

The number 913 is an active NANP area code (North American Numbering Plan).

Primary area
Kansas City suburbs
Region
Kansas
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.