Number

1,505

1,505 is a composite number, odd, a calendar year.

1,505 (one thousand five hundred five) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 5 × 7 × 43. Written other ways, in Roman numerals it is MDV and in binary, 10111100001.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 1,517

less more

Notable events — 1505 AD

Jul 2 Martin Luther vows to become a monk after a near-fatal thunderstorm.
Oct 27 Ivan III of Russia dies; Vasili III succeeds him.
Undated Portuguese viceroy Francisco de Almeida sails for India.

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: Sunday
January 1, 1505
Ended on: Sunday
December 31, 1505
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1500s
1500–1509
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 521
521 years before 2026.

In other calendars

Hebrew: 5265 / 5266 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 910 / 911 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Ox
Sexagenary cycle position 2 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2048 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 883 / 884 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1497 / 1498 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1427 / 1426 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 5,051
Recamán's sequence: a(1,550) = 1,505
Square (n²): 2,265,025
Cube (n³): 3,408,862,625
Divisor count: 8
σ(n) — sum of divisors: 2,112
φ(n) — Euler's totient: 1,008
Sum of prime factors: 55

Primality

Prime factorization: 5 × 7 × 43

Nearest primes: 1,499 (−6) · 1,511 (+6)

Divisors & multiples

All divisors (8)

1 · 5 · 7 · 35 · 43 · 215 · 301 · 1505

Aliquot sum (sum of proper divisors): 607

Factor pairs (a × b = 1,505)

1 × 1505

5 × 301

7 × 215

35 × 43

First multiples

1,505 · 3,010 (double) · 4,515 · 6,020 · 7,525 · 9,030 · 10,535 · 12,040 · 13,545 · 15,050

Sums & aliquot sequence

As consecutive integers: 752 + 753 299 + 300 + 301 + 302 + 303 212 + 213 + … + 218 146 + 147 + … + 155

Aliquot sequence: 1,505 → 607 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,505 = [38; (1, 3, 1, 6, 3, 1, 14, 1, 3, 6, 1, 3, 1, 76)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one thousand five hundred five
Ordinal: 1505th
Roman numeral: MDV
Binary: 10111100001
Octal: 2741
Hexadecimal: 0x5E1
Base64: BeE=
One's complement: 64,030 (16-bit)
Scientific notation: 1.505 × 10³
As a duration: 1,505 s = 25 minutes, 5 seconds

In other bases

ternary (3) 2001202

quaternary (4) 113201

quinary (5) 22010

senary (6) 10545

septenary (7) 4250

nonary (9) 2052

undecimal (11) 1149

duodecimal (12) a55

tridecimal (13) 8ba

tetradecimal (14) 797

pentadecimal (15) 6a5

Palindromic in base 14

As an angle

1,505° = 4 × 360° + 65°

65° ≈ 1.134 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφεʹ
Mayan (base 20): 𝋣·𝋯·𝋥
Chinese: 一千五百零五
Chinese (financial): 壹仟伍佰零伍

In other modern scripts

Eastern Arabic ١٥٠٥ Devanagari १५०५ Bengali ১৫০৫ Tamil ௧௫௦௫ Thai ๑๕๐๕ Tibetan ༡༥༠༥ Khmer ១៥០៥ Lao ໑໕໐໕ Burmese ၁၅၀၅

Digit at this position in famous constants

π — Pi (π): Digit 1,505 = 1
e — Euler's number (e): Digit 1,505 = 7
φ — Golden ratio (φ): Digit 1,505 = 1
√2 — Pythagoras's (√2): Digit 1,505 = 9
ln 2 — Natural log of 2: Digit 1,505 = 3
γ — Euler-Mascheroni (γ): Digit 1,505 = 7

Also seen as

Unicode codepoint

Hebrew Letter Samekh

U+05E1

Other letter (Lo)

UTF-8 encoding: D7 A1 (2 bytes).

Lookup U+05E1 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0005E1

RGB(0, 5, 225)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.225.

Address: 0.0.5.225
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.225

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

Musical pitch

Heard as a frequency, 1,505 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, +29¢)
Scientific pitch (C4 = 256 Hz): G6 (1534.3 Hz, -33¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, +30¢)

Food additive (E-number)

On an ingredients label, E1505 is Triethyl citrate, an additional additive.

E-number reference (Wikipedia) ↗

Position in π

The digit sequence 1505 first appears in π at position 20,277 of the decimal expansion (the 20,277ordinal-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 1505 on Pi Search ↗