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Number

1,504

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

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

Notable events — 1504 AD

  1. Sep 8 Michelangelo unveils his David in Florence.
  2. Nov 26 Queen Isabella I of Castile dies; her daughter Joanna inherits the throne.
  3. 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

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)
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

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
נ
Hebrew Letter Nun
U+05E0
Other letter (Lo)

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

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.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001504
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

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.