Number

1,476

1,476 is a composite number, even, a calendar year.

1,476 (one thousand four hundred seventy-six) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 41. Its proper divisors sum to 2,346, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCDLXXVI and in binary, 10111000100.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,464 1,465 1,466 1,467 1,468 1,469 1,470 1,471 1,472 1,473 1,474 1,475 1,476 1,477 1,478 1,479 1,480 1,481 1,482 1,483 1,484 1,485 1,486 1,487 1,488

less more

Historical context — 1476 AD

Calendar year

Year 1476 (MCDLXXVI) was a leap year starting on Monday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

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: Saturday
January 1, 1476
Ended on: Sunday
December 31, 1476
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1470s
1470–1479
Century: 15th century
1401–1500
Millennium: 2nd millennium
1001–2000
Years ago: 550
550 years before 2026.

In other calendars

Hebrew: 5236 / 5237 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 880 / 881 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2019 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 854 / 855 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1468 / 1469 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1398 / 1397 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 168
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 6,741
Recamán's sequence: a(1,608) = 1,476
Square (n²): 2,178,576
Cube (n³): 3,215,578,176
Divisor count: 18
σ(n) — sum of divisors: 3,822
φ(n) — Euler's totient: 480
Sum of prime factors: 51

Primality

Prime factorization: 2 ² × 3 ² × 41

Nearest primes: 1,471 (−5) · 1,481 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 41 · 82 · 123 · 164 · 246 · 369 · 492 · 738 (half) · 1476

Aliquot sum (sum of proper divisors): 2,346

Factor pairs (a × b = 1,476)

1 × 1476

2 × 738

3 × 492

4 × 369

6 × 246

9 × 164

12 × 123

18 × 82

36 × 41

First multiples

1,476 · 2,952 (double) · 4,428 · 5,904 · 7,380 · 8,856 · 10,332 · 11,808 · 13,284 · 14,760

Sums & aliquot sequence

As a sum of two squares: 24² + 30²

As consecutive integers: 491 + 492 + 493 181 + 182 + … + 188 160 + 161 + … + 168 50 + 51 + … + 73

Aliquot sequence: 1,476 → 2,346 → 2,838 → 3,498 → 4,278 → 4,938 → 4,950 → 9,558 → 12,222 → 18,354 → 27,726 → 27,738 → 35,910 → 79,290 → 127,098 → 161,190 → 274,410 — unresolved within range

Continued fraction of √n

√1,476 = [38; (2, 2, 1, 1, 2, 1, 3, 8, 3, 1, 2, 1, 1, 2, 2, 76)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one thousand four hundred seventy-six
Ordinal: 1476th
Roman numeral: MCDLXXVI
Binary: 10111000100
Octal: 2704
Hexadecimal: 0x5C4
Base64: BcQ=
One's complement: 64,059 (16-bit)
Scientific notation: 1.476 × 10³
As a duration: 1,476 s = 24 minutes, 36 seconds

In other bases

ternary (3) 2000200

quaternary (4) 113010

quinary (5) 21401

senary (6) 10500

septenary (7) 4206

nonary (9) 2020

undecimal (11) 1122

duodecimal (12) a30

tridecimal (13) 897

tetradecimal (14) 776

pentadecimal (15) 686

Palindromic in base 15

As an angle

1,476° = 4 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αυοϛʹ
Mayan (base 20): 𝋣·𝋭·𝋰
Chinese: 一千四百七十六
Chinese (financial): 壹仟肆佰柒拾陸

In other modern scripts

Eastern Arabic ١٤٧٦ Devanagari १४७६ Bengali ১৪৭৬ Tamil ௧௪௭௬ Thai ๑๔๗๖ Tibetan ༡༤༧༦ Khmer ១៤៧៦ Lao ໑໔໗໖ Burmese ၁၄၇၆

Digit at this position in famous constants

π — Pi (π): Digit 1,476 = 2
e — Euler's number (e): Digit 1,476 = 4
φ — Golden ratio (φ): Digit 1,476 = 7
√2 — Pythagoras's (√2): Digit 1,476 = 0
ln 2 — Natural log of 2: Digit 1,476 = 3
γ — Euler-Mascheroni (γ): Digit 1,476 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1476, here are decompositions:

5 + 1471 = 1476
17 + 1459 = 1476
23 + 1453 = 1476
29 + 1447 = 1476
37 + 1439 = 1476
43 + 1433 = 1476
47 + 1429 = 1476
53 + 1423 = 1476

Showing the first eight; more decompositions exist.

Unicode codepoint

Hebrew Mark Upper Dot

U+05C4

Non-spacing mark (Mn)

UTF-8 encoding: D7 84 (2 bytes).

Lookup U+05C4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0005C4

RGB(0, 5, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.196.

Address: 0.0.5.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.196

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

Musical pitch

Heard as a frequency, 1,476 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, -5¢)
Scientific pitch (C4 = 256 Hz): F♯6 (1448.2 Hz, +33¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, -3¢)

Position in π

The digit sequence 1476 first appears in π at position 2,067 of the decimal expansion (the 2,067ordinal-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 1476 on Pi Search ↗