Number

1,523

1,523 is a prime, odd, a calendar year.

Arithmetic Number Deficient Number Emirp Evil Number Prime Recamán's Sequence Safe Prime Squarefree Year

Notable events — 1523 AD

Jun 6 Sweden elects Gustav Vasa king, ending the Kalmar Union.
Nov 19 Pope Clement VII is elected.
Undated Verrazano begins exploring the eastern coast of North America.

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: Monday
January 1, 1523
Ended on: Monday
December 31, 1523
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1520s
1520–1529
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 503
503 years before 2026.

In other calendars

Hebrew: 5283 / 5284 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 929 / 930 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Goat
Sexagenary cycle position 20 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2066 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 901 / 902 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1515 / 1516 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1445 / 1444 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 11
Digit product: 30
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 3,251
Recamán's sequence: a(1,514) = 1,523
Square (n²): 2,319,529
Cube (n³): 3,532,642,667
Divisor count: 2
σ(n) — sum of divisors: 1,524
φ(n) — Euler's totient: 1,522

Primality

1,523 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1523

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,523)

1 × 1523

First multiples

1,523 · 3,046 (double) · 4,569 · 6,092 · 7,615 · 9,138 · 10,661 · 12,184 · 13,707 · 15,230

Sums & aliquot sequence

As consecutive integers: 761 + 762

Representations

In words: one thousand five hundred twenty-three
Ordinal: 1523rd
Roman numeral: MDXXIII
Binary: 10111110011
Octal: 2763
Hexadecimal: 0x5F3
Base64: BfM=
One's complement: 64,012 (16-bit)

In other bases

ternary (3) 2002102

quaternary (4) 113303

quinary (5) 22043

senary (6) 11015

septenary (7) 4304

nonary (9) 2072

undecimal (11) 1165

duodecimal (12) a6b

tridecimal (13) 902

tetradecimal (14) 7ab

pentadecimal (15) 6b8

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵αφκγʹ
Mayan (base 20): 𝋣·𝋰·𝋣
Chinese: 一千五百二十三
Chinese (financial): 壹仟伍佰貳拾參

In other modern scripts

Eastern Arabic ١٥٢٣ Devanagari १५२३ Bengali ১৫২৩ Tamil ௧௫௨௩ Thai ๑๕๒๓ Tibetan ༡༥༢༣ Khmer ១៥២៣ Lao ໑໕໒໓ Burmese ၁၅၂၃

Digit at this position in famous constants

π — Pi (π): Digit 1,523 = 2
e — Euler's number (e): Digit 1,523 = 8
φ — Golden ratio (φ): Digit 1,523 = 6
√2 — Pythagoras's (√2): Digit 1,523 = 7
ln 2 — Natural log of 2: Digit 1,523 = 8
γ — Euler-Mascheroni (γ): Digit 1,523 = 3

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,511 (gap of 12)
Next prime: 1,531 (gap of 8)

Unicode codepoint

Hebrew Punctuation Geresh

U+05F3

Other punctuation (Po)

UTF-8 encoding: D7 B3 (2 bytes).

Lookup U+05F3 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0005F3

RGB(0, 5, 243)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.243.

Address: 0.0.5.243
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.243

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

Position in π

The digit sequence 1523 first appears in π at position 2,688 of the decimal expansion (the 2,688ordinal-suffix:th 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 1523 on Pi Search ↗