Number

1,828

1,828 is a composite number, even, a calendar year.

1,828 (one thousand eight hundred twenty-eight) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 457. Written other ways, in Roman numerals it is MDCCCXXVIII and in binary, 11100100100.

Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Year

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,816 1,817 1,818 1,819 1,820 1,821 1,822 1,823 1,824 1,825 1,826 1,827 1,828 1,829 1,830 1,831 1,832 1,833 1,834 1,835 1,836 1,837 1,838 1,839 1,840

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Notable events — 1828 AD

Dec 3 Andrew Jackson is elected US president.
Jul 4 Construction begins on the Baltimore and Ohio Railroad.
Apr 26 Russia declares war on Ottoman Turkey, intervening on the Greek side.
May 19 Congress enacts the Tariff of Abominations, sparking Southern outrage.
Sep 7 Uruguay's independence is recognized by the Treaty of Montevideo.

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: Tuesday
January 1, 1828
Ended on: Wednesday
December 31, 1828
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 6
Sunday, April 6, 1828
Decade: 1820s
1820–1829
Century: 19th century
1801–1900
Millennium: 2nd millennium
1001–2000
Years ago: 198
198 years before 2026.
US presidential election: Yes
US holds a presidential election in years divisible by 4 starting from 1788.

In other calendars

Hebrew: 5588 / 5589 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1243 / 1244 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2371 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1206 / 1207 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1820 / 1821 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1750 / 1749 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 19
Digit product: 128
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 8,281
Recamán's sequence: a(8,088) = 1,828
Square (n²): 3,341,584
Cube (n³): 6,108,415,552
Divisor count: 6
σ(n) — sum of divisors: 3,206
φ(n) — Euler's totient: 912
Sum of prime factors: 461

Primality

Prime factorization: 2 ² × 457

Nearest primes: 1,823 (−5) · 1,831 (+3)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 457 · 914 (half) · 1828

Aliquot sum (sum of proper divisors): 1,378

Factor pairs (a × b = 1,828)

1 × 1828

2 × 914

4 × 457

First multiples

1,828 · 3,656 (double) · 5,484 · 7,312 · 9,140 · 10,968 · 12,796 · 14,624 · 16,452 · 18,280

Sums & aliquot sequence

As a sum of two squares: 8² + 42²

As consecutive integers: 225 + 226 + … + 232

Aliquot sequence: 1,828 → 1,378 → 890 → 730 → 602 → 454 → 230 → 202 → 104 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,828 = [42; (1, 3, 11, 1, 27, 1, 1, 2, 2, 3, 1, 1, 1, 8, 1, 6, 4, 2, 1, 4, 2, 1, 20, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one thousand eight hundred twenty-eight
Ordinal: 1828th
Roman numeral: MDCCCXXVIII
Binary: 11100100100
Octal: 3444
Hexadecimal: 0x724
Base64: ByQ=
One's complement: 63,707 (16-bit)
Scientific notation: 1.828 × 10³
As a duration: 1,828 s = 30 minutes, 28 seconds

In other bases

ternary (3) 2111201

quaternary (4) 130210

quinary (5) 24303

senary (6) 12244

septenary (7) 5221

nonary (9) 2451

undecimal (11) 1412

duodecimal (12) 1084

tridecimal (13) aa8

tetradecimal (14) 948

pentadecimal (15) 81d

As an angle

1,828° = 5 × 360° + 28°

28° ≈ 0.489 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αωκηʹ
Mayan (base 20): 𝋤·𝋫·𝋨
Chinese: 一千八百二十八
Chinese (financial): 壹仟捌佰貳拾捌

In other modern scripts

Eastern Arabic ١٨٢٨ Devanagari १८२८ Bengali ১৮২৮ Tamil ௧௮௨௮ Thai ๑๘๒๘ Tibetan ༡༨༢༨ Khmer ១៨២៨ Lao ໑໘໒໘ Burmese ၁၈၂၈

Digit at this position in famous constants

π — Pi (π): Digit 1,828 = 6
e — Euler's number (e): Digit 1,828 = 7
φ — Golden ratio (φ): Digit 1,828 = 9
√2 — Pythagoras's (√2): Digit 1,828 = 2
ln 2 — Natural log of 2: Digit 1,828 = 8
γ — Euler-Mascheroni (γ): Digit 1,828 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1828, here are decompositions:

5 + 1823 = 1828
17 + 1811 = 1828
41 + 1787 = 1828
107 + 1721 = 1828
131 + 1697 = 1828
191 + 1637 = 1828
227 + 1601 = 1828
257 + 1571 = 1828

Showing the first eight; more decompositions exist.

Unicode codepoint

Syriac Letter Final Semkath

U+0724

Other letter (Lo)

UTF-8 encoding: DC A4 (2 bytes).

Lookup U+0724 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000724

RGB(0, 7, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.36.

Address: 0.0.7.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.36

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

Musical pitch

Heard as a frequency, 1,828 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯6 (1864.7 Hz, -34¢)
Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, +3¢)
Baroque pitch (A4 = 415 Hz): B6 (1863.3 Hz, -33¢)

Position in π

The digit sequence 1828 first appears in π at position 12,090 of the decimal expansion (the 12,090ordinal-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 1828 on Pi Search ↗