Number

1,613

1,613 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Notable events — 1613 AD

Jul 21 Michael Romanov is elected Tsar of Russia, beginning the Romanov dynasty.
Jun 29 London's Globe Theatre burns down during a performance of Henry VIII.
Apr 5 John Rolfe marries Pocahontas in Virginia (1614).

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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: Tuesday
January 1, 1613
Ended on: Tuesday
December 31, 1613
Friday the 13ths: 2
2 Friday the 13ths this year.
Easter Sunday: April 7
Sunday, April 7, 1613
Decade: 1610s
1610–1619
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 413
413 years before 2026.

In other calendars

Hebrew: 5373 / 5374 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1021 / 1022 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Ox
Sexagenary cycle position 50 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2156 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 991 / 992 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1605 / 1606 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1535 / 1534 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 11
Digit product: 18
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 3,161
Recamán's sequence: a(726) = 1,613
Square (n²): 2,601,769
Cube (n³): 4,196,653,397
Divisor count: 2
σ(n) — sum of divisors: 1,614
φ(n) — Euler's totient: 1,612

Primality

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

Divisors & multiples

All divisors (2)

1 · 1613

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,613)

1 × 1613

First multiples

1,613 · 3,226 (double) · 4,839 · 6,452 · 8,065 · 9,678 · 11,291 · 12,904 · 14,517 · 16,130

Sums & aliquot sequence

As a sum of two squares: 13² + 38²

As consecutive integers: 806 + 807

Representations

In words: one thousand six hundred thirteen
Ordinal: 1613th
Roman numeral: MDCXIII
Binary: 11001001101
Octal: 3115
Hexadecimal: 0x64D
Base64: Bk0=
One's complement: 63,922 (16-bit)

In other bases

ternary (3) 2012202

quaternary (4) 121031

quinary (5) 22423

senary (6) 11245

septenary (7) 4463

nonary (9) 2182

undecimal (11) 1237

duodecimal (12) b25

tridecimal (13) 971

tetradecimal (14) 833

pentadecimal (15) 728

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian): ͵αχιγʹ
Mayan (base 20): 𝋤·𝋠·𝋭
Chinese: 一千六百一十三
Chinese (financial): 壹仟陸佰壹拾參

In other modern scripts

Eastern Arabic ١٦١٣ Devanagari १६१३ Bengali ১৬১৩ Tamil ௧௬௧௩ Thai ๑๖๑๓ Tibetan ༡༦༡༣ Khmer ១៦១៣ Lao ໑໖໑໓ Burmese ၁၆၁၃

Digit at this position in famous constants

π — Pi (π): Digit 1,613 = 1
e — Euler's number (e): Digit 1,613 = 3
φ — Golden ratio (φ): Digit 1,613 = 8
√2 — Pythagoras's (√2): Digit 1,613 = 6
ln 2 — Natural log of 2: Digit 1,613 = 3
γ — Euler-Mascheroni (γ): Digit 1,613 = 7

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,609 (gap of 4)
Next prime: 1,619 (gap of 6)

Pair status: cousin with 1609, sexy with 1619.

Unicode codepoint

Arabic Kasratan

U+064D

Non-spacing mark (Mn)

UTF-8 encoding: D9 8D (2 bytes).

Lookup U+064D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00064D

RGB(0, 6, 77)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.77.

Address: 0.0.6.77
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.77

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

Position in π

The digit sequence 1613 first appears in π at position 1,651 of the decimal expansion (the 1,651ordinal-suffix:st 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.

Look up 1613 on Pi Search ↗