Number

613

613 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree Year

Historical context — 613 AD

Calendar year

Year 613 (DCXIII) was a common 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 — 613 BC

Calendar year

The year 613 BC was a year of the pre-Julian Roman 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: Friday
January 1, 613
Ended on: Friday
December 31, 613
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 610s
610–619
Century: 7th century
601–700
Millennium: 1st millennium
1–1000
Years ago: 1,413
1413 years before 2026.

In other calendars

Hebrew: 4373 / 4374 AM
Rosh Hashanah falls in September/October.
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: 1156 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 605 / 606 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 535 / 534 Saka
Indian national calendar; year starts in March.

Cultural significance

Jewish sacred

The 613 commandments (mitzvot) traditionally counted in the Torah.

Enumerated by Maimonides in the Sefer Hamitzvot.

Wikipedia ↗

Sourced from Wikipedia (Numerology, Chinese numerology, Gematria, and per-culture articles).

Properties

Parity: Odd
Digit count: 3
Digit sum: 10
Digit product: 18
Digital root: 1
Palindrome: No
Bit width: 10 bits
Reversed: 316
Recamán's sequence: a(1,033) = 613
Square (n²): 375,769
Cube (n³): 230,346,397
Divisor count: 2
σ(n) — sum of divisors: 614
φ(n) — Euler's totient: 612

Primality

613 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 613

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 613)

1 × 613

First multiples

613 · 1,226 (double) · 1,839 · 2,452 · 3,065 · 3,678 · 4,291 · 4,904 · 5,517 · 6,130

Sums & aliquot sequence

As a sum of two squares: 17² + 18²

As consecutive integers: 306 + 307

Representations

In words: six hundred thirteen
Ordinal: 613th
Roman numeral: DCXIII
Binary: 1001100101
Octal: 1145
Hexadecimal: 0x265
Base64: AmU=
One's complement: 64,922 (16-bit)

In other bases

ternary (3) 211201

quaternary (4) 21211

quinary (5) 4423

senary (6) 2501

septenary (7) 1534

nonary (9) 751

undecimal (11) 508

duodecimal (12) 431

tridecimal (13) 382

tetradecimal (14) 31b

pentadecimal (15) 2ad

Historical numeral systems

Babylonian (base 60): 𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian): χιγʹ
Mayan (base 20): 𝋡·𝋪·𝋭
Chinese: 六百一十三
Chinese (financial): 陸佰壹拾參

In other modern scripts

Eastern Arabic ٦١٣ Devanagari ६१३ Bengali ৬১৩ Tamil ௬௧௩ Thai ๖๑๓ Tibetan ༦༡༣ Khmer ៦១៣ Lao ໖໑໓ Burmese ၆၁၃

Digit at this position in famous constants

π — Pi (π): Digit 613 = 5
e — Euler's number (e): Digit 613 = 8
φ — Golden ratio (φ): Digit 613 = 6
√2 — Pythagoras's (√2): Digit 613 = 5
ln 2 — Natural log of 2: Digit 613 = 4
γ — Euler-Mascheroni (γ): Digit 613 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 607 (gap of 6)
Next prime: 617 (gap of 4)

Pair status: cousin with 617, sexy with 607.

Unicode codepoint

Latin Small Letter Turned H

U+0265

Lowercase letter (Ll)

UTF-8 encoding: C9 A5 (2 bytes).

Lookup U+0265 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000265

RGB(0, 2, 101)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.101.

Address: 0.0.2.101
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.101

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

NANP area code 613

The number 613 is an active NANP area code (North American Numbering Plan).

Primary area: Ottawa
Region: Ontario
Country: Canada

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

Look up area code 613 ↗