Number

1,500

1,500 is a composite number, even, a calendar year.

1,500 (one thousand five hundred) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5³. Its proper divisors sum to 2,868, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MD and in binary, 10111011100.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Preferred Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,488 1,489 1,490 1,491 1,492 1,493 1,494 1,495 1,496 1,497 1,498 1,499 1,500 1,501 1,502 1,503 1,504 1,505 1,506 1,507 1,508 1,509 1,510 1,511 1,512

less more

Notable events — 1500 AD

Apr 22 Portuguese navigator Pedro Álvares Cabral lands in Brazil.
Undated Diogo Dias sights Madagascar.
Nov 11 France and Spain agree to partition the Kingdom of Naples by the Treaty of Granada.

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, 1500
Ended on: Monday
December 31, 1500
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1500s
1500–1509
Century: 15th century
1401–1500
Millennium: 2nd millennium
1001–2000
Years ago: 526
526 years before 2026.

In other calendars

Hebrew: 5260 / 5261 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 905 / 906 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2043 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 878 / 879 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1492 / 1493 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1422 / 1421 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 51
Recamán's sequence: a(1,560) = 1,500
Square (n²): 2,250,000
Cube (n³): 3,375,000,000
Divisor count: 24
σ(n) — sum of divisors: 4,368
φ(n) — Euler's totient: 400
Sum of prime factors: 22

Primality

Prime factorization: 2 ² × 3 × 5 ³

Nearest primes: 1,499 (−1) · 1,511 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 50 · 60 · 75 · 100 · 125 · 150 · 250 · 300 · 375 · 500 · 750 (half) · 1500

Aliquot sum (sum of proper divisors): 2,868

Factor pairs (a × b = 1,500)

1 × 1500

2 × 750

3 × 500

4 × 375

5 × 300

6 × 250

10 × 150

12 × 125

15 × 100

20 × 75

25 × 60

30 × 50

First multiples

1,500 · 3,000 (double) · 4,500 · 6,000 · 7,500 · 9,000 · 10,500 · 12,000 · 13,500 · 15,000

Sums & aliquot sequence

As consecutive integers: 499 + 500 + 501 298 + 299 + 300 + 301 + 302 184 + 185 + … + 191 93 + 94 + … + 107

Aliquot sequence: 1,500 → 2,868 → 3,852 → 5,976 → 10,404 → 17,533 → 287 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,500 = [38; (1, 2, 1, 2, 2, 1, 6, 2, 1, 18, 1, 2, 6, 1, 2, 2, 1, 2, 1, 76)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred
Ordinal: 1500th
Roman numeral: MD
Binary: 10111011100
Octal: 2734
Hexadecimal: 0x5DC
Base64: Bdw=
One's complement: 64,035 (16-bit)
Scientific notation: 1.5 × 10³
As a duration: 1,500 s = 25 minutes

In other bases

ternary (3) 2001120

quaternary (4) 113130

quinary (5) 22000

senary (6) 10540

septenary (7) 4242

nonary (9) 2046

undecimal (11) 1144

duodecimal (12) a50

tridecimal (13) 8b5

tetradecimal (14) 792

pentadecimal (15) 6a0

As an angle

1,500° = 4 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ͵αφʹ
Mayan (base 20): 𝋣·𝋯·𝋠
Chinese: 一千五百
Chinese (financial): 壹仟伍佰

In other modern scripts

Eastern Arabic ١٥٠٠ Devanagari १५०० Bengali ১৫০০ Tamil ௧௫௦௦ Thai ๑๕๐๐ Tibetan ༡༥༠༠ Khmer ១៥០០ Lao ໑໕໐໐ Burmese ၁၅၀၀

Digit at this position in famous constants

π — Pi (π): Digit 1,500 = 5
e — Euler's number (e): Digit 1,500 = 9
φ — Golden ratio (φ): Digit 1,500 = 3
√2 — Pythagoras's (√2): Digit 1,500 = 7
ln 2 — Natural log of 2: Digit 1,500 = 7
γ — Euler-Mascheroni (γ): Digit 1,500 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1500, here are decompositions:

7 + 1493 = 1500
11 + 1489 = 1500
13 + 1487 = 1500
17 + 1483 = 1500
19 + 1481 = 1500
29 + 1471 = 1500
41 + 1459 = 1500
47 + 1453 = 1500

Showing the first eight; more decompositions exist.

Unicode codepoint

Hebrew Letter Lamed

U+05DC

Other letter (Lo)

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

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

Hex color

#0005DC

RGB(0, 5, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.220.

Address: 0.0.5.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.220

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

Musical pitch

Heard as a frequency, 1,500 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, +23¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, -39¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, +25¢)

Position in π

The digit sequence 1500 first appears in π at position 13,710 of the decimal expansion (the 13,710ordinal-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 1500 on Pi Search ↗