Number

1,504

1,504 is a composite number, even, a calendar year.

1,504 (one thousand five hundred four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 47. Its proper divisors sum to 1,520, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDIV and in binary, 10111100000.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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 1,513 1,514 1,515 1,516

less more

Notable events — 1504 AD

Sep 8 Michelangelo unveils his David in Florence.
Nov 26 Queen Isabella I of Castile dies; her daughter Joanna inherits the throne.
Undated France and Spain conclude the Treaty of Lyon dividing Italy.

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 52
Started on: Friday
January 1, 1504
Ended on: Saturday
December 31, 1504
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1500s
1500–1509
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 522
522 years before 2026.

In other calendars

Hebrew: 5264 / 5265 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 909 / 910 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2047 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 882 / 883 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1496 / 1497 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1426 / 1425 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 4,051
Recamán's sequence: a(1,552) = 1,504
Square (n²): 2,262,016
Cube (n³): 3,402,072,064
Divisor count: 12
σ(n) — sum of divisors: 3,024
φ(n) — Euler's totient: 736
Sum of prime factors: 57

Primality

Prime factorization: 2 ⁵ × 47

Nearest primes: 1,499 (−5) · 1,511 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 8 · 16 · 32 · 47 · 94 · 188 · 376 · 752 (half) · 1504

Aliquot sum (sum of proper divisors): 1,520

Factor pairs (a × b = 1,504)

1 × 1504

2 × 752

4 × 376

8 × 188

16 × 94

32 × 47

First multiples

1,504 · 3,008 (double) · 4,512 · 6,016 · 7,520 · 9,024 · 10,528 · 12,032 · 13,536 · 15,040

Sums & aliquot sequence

As consecutive integers: 9 + 10 + … + 55

Aliquot sequence: 1,504 → 1,520 → 2,200 → 3,380 → 4,306 → 2,156 → 2,632 → 3,128 → 3,352 → 2,948 → 2,764 → 2,080 → 3,212 → 3,004 → 2,260 → 2,528 → 2,512 — unresolved within range

Continued fraction of √n

√1,504 = [38; (1, 3, 1, 1, 2, 1, 4, 2, 4, 1, 2, 1, 1, 3, 1, 76)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred four
Ordinal: 1504th
Roman numeral: MDIV
Binary: 10111100000
Octal: 2740
Hexadecimal: 0x5E0
Base64: BeA=
One's complement: 64,031 (16-bit)
Scientific notation: 1.504 × 10³
As a duration: 1,504 s = 25 minutes, 4 seconds

In other bases

ternary (3) 2001201

quaternary (4) 113200

quinary (5) 22004

senary (6) 10544

septenary (7) 4246

nonary (9) 2051

undecimal (11) 1148

duodecimal (12) a54

tridecimal (13) 8b9

tetradecimal (14) 796

pentadecimal (15) 6a4

As an angle

1,504° = 4 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφδʹ
Mayan (base 20): 𝋣·𝋯·𝋤
Chinese: 一千五百零四
Chinese (financial): 壹仟伍佰零肆

In other modern scripts

Eastern Arabic ١٥٠٤ Devanagari १५०४ Bengali ১৫০৪ Tamil ௧௫௦௪ Thai ๑๕๐๔ Tibetan ༡༥༠༤ Khmer ១៥០៤ Lao ໑໕໐໔ Burmese ၁၅၀၄

Digit at this position in famous constants

π — Pi (π): Digit 1,504 = 1
e — Euler's number (e): Digit 1,504 = 6
φ — Golden ratio (φ): Digit 1,504 = 3
√2 — Pythagoras's (√2): Digit 1,504 = 1
ln 2 — Natural log of 2: Digit 1,504 = 3
γ — Euler-Mascheroni (γ): Digit 1,504 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1504, here are decompositions:

5 + 1499 = 1504
11 + 1493 = 1504
17 + 1487 = 1504
23 + 1481 = 1504
53 + 1451 = 1504
71 + 1433 = 1504
131 + 1373 = 1504
137 + 1367 = 1504

Showing the first eight; more decompositions exist.

Unicode codepoint

Hebrew Letter Nun

U+05E0

Other letter (Lo)

UTF-8 encoding: D7 A0 (2 bytes).

Lookup U+05E0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0005E0

RGB(0, 5, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.224.

Address: 0.0.5.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.224

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

Musical pitch

Heard as a frequency, 1,504 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, +28¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, -34¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, +29¢)

Position in π

The digit sequence 1504 first appears in π at position 4,913 of the decimal expansion (the 4,913ordinal-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 1504 on Pi Search ↗