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Number

1,503

1,503 is a composite number, odd, a calendar year.

1,503 (one thousand five hundred three) is an odd 4-digit number. It is a composite number with 6 divisors, and factors as 3² × 167. Written other ways, in Roman numerals it is MDIII and in binary, 10111011111.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Moran Number Odious Number Recamán's Sequence Year

Interestingness

Notable events — 1503 AD

  1. Apr 28 Spanish forces defeat France at Cerignola in the first battle decided by gunpowder small arms.
  2. Aug 18 Pope Alexander VI dies; Julius II is elected after a brief Pius III papacy.
  3. Undated Leonardo da Vinci begins painting the Mona Lisa.

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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1503
Ended on
Thursday
December 31, 1503
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1500s
1500–1509
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
523
523 years before 2026.

In other calendars

Hebrew
5263 / 5264 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
908 / 909 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Pig
Sexagenary cycle position 60 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2046 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
881 / 882 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1495 / 1496 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1425 / 1424 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
3,051
Recamán's sequence
a(1,554) = 1,503
Square (n²)
2,259,009
Cube (n³)
3,395,290,527
Divisor count
6
σ(n) — sum of divisors
2,184
φ(n) — Euler's totient
996
Sum of prime factors
173

Primality

Prime factorization: 3 2 × 167

Nearest primes: 1,499 (−4) · 1,511 (+8)

Divisors & multiples

All divisors (6)
1 · 3 · 9 · 167 · 501 · 1503
Aliquot sum (sum of proper divisors): 681
Factor pairs (a × b = 1,503)
1 × 1503
3 × 501
9 × 167
First multiples
1,503 · 3,006 (double) · 4,509 · 6,012 · 7,515 · 9,018 · 10,521 · 12,024 · 13,527 · 15,030

Sums & aliquot sequence

As consecutive integers: 751 + 752 500 + 501 + 502 248 + 249 + 250 + 251 + 252 + 253 163 + 164 + … + 171
Aliquot sequence: 1,503 681 231 153 81 40 50 43 1 0 — terminates at zero

Continued fraction of √n

√1,503 = [38; (1, 3, 3, 8, 3, 3, 1, 76)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one thousand five hundred three
Ordinal
1503rd
Roman numeral
MDIII
Binary
10111011111
Octal
2737
Hexadecimal
0x5DF
Base64
Bd8=
One's complement
64,032 (16-bit)
Scientific notation
1.503 × 10³
As a duration
1,503 s = 25 minutes, 3 seconds
In other bases
ternary (3) 2001200
quaternary (4) 113133
quinary (5) 22003
senary (6) 10543
septenary (7) 4245
nonary (9) 2050
undecimal (11) 1147
duodecimal (12) a53
tridecimal (13) 8b8
tetradecimal (14) 795
pentadecimal (15) 6a3
Palindromic in base 13

As an angle

1,503° = 4 × 360° + 63°
63° ≈ 1.1 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺
Greek (Milesian)
͵αφγʹ
Mayan (base 20)
𝋣·𝋯·𝋣
Chinese
一千五百零三
Chinese (financial)
壹仟伍佰零參
In other modern scripts
Eastern Arabic ١٥٠٣ Devanagari १५०३ Bengali ১৫০৩ Tamil ௧௫௦௩ Thai ๑๕๐๓ Tibetan ༡༥༠༣ Khmer ១៥០៣ Lao ໑໕໐໓ Burmese ၁၅၀၃

Digit at this position in famous constants

π — Pi (π)
Digit 1,503 = 2
e — Euler's number (e)
Digit 1,503 = 9
φ — Golden ratio (φ)
Digit 1,503 = 2
√2 — Pythagoras's (√2)
Digit 1,503 = 5
ln 2 — Natural log of 2
Digit 1,503 = 9
γ — Euler-Mascheroni (γ)
Digit 1,503 = 6

Also seen as

Unicode codepoint
ן
Hebrew Letter Final Nun
U+05DF
Other letter (Lo)

UTF-8 encoding: D7 9F (2 bytes).

Hex color
#0005DF
RGB(0, 5, 223)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.223.

Address
0.0.5.223
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.223

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

Musical pitch

Heard as a frequency, 1,503 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, +27¢)
  • Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, -36¢)
  • Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, +28¢)
Position in π

The digit sequence 1503 first appears in π at position 1,436 of the decimal expansion (the 1,436ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.