Number

1,802

1,802 is a composite number, even, a calendar year.

1,802 (one thousand eight hundred two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 17 × 53. Written other ways, in Roman numerals it is MDCCCII and in binary, 11100001010.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,790 1,791 1,792 1,793 1,794 1,795 1,796 1,797 1,798 1,799 1,800 1,801 1,802 1,803 1,804 1,805 1,806 1,807 1,808 1,809 1,810 1,811 1,812 1,813 1,814

less more

Notable events — 1802 AD

Mar 27 The Treaty of Amiens briefly ends hostilities between France and Britain.
Aug 2 Napoleon is proclaimed First Consul for Life.
Mar 16 The US Military Academy at West Point is established.
Apr 8 Beethoven's Heiligenstadt Testament expresses his despair over deafness.
Dec 12 Sweden cedes its German possessions to Russia in the Treaty of Stockholm.

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: Friday
January 1, 1802
Ended on: Friday
December 31, 1802
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 18
Sunday, April 18, 1802
Decade: 1800s
1800–1809
Century: 19th century
1801–1900
Millennium: 2nd millennium
1001–2000
Years ago: 224
224 years before 2026.

In other calendars

Hebrew: 5562 / 5563 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1216 / 1217 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Dog
Sexagenary cycle position 59 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2345 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1180 / 1181 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1794 / 1795 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1724 / 1723 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 2,081
Recamán's sequence: a(16,095) = 1,802
Square (n²): 3,247,204
Cube (n³): 5,851,461,608
Divisor count: 8
σ(n) — sum of divisors: 2,916
φ(n) — Euler's totient: 832
Sum of prime factors: 72

Primality

Prime factorization: 2 × 17 × 53

Nearest primes: 1,801 (−1) · 1,811 (+9)

Divisors & multiples

All divisors (8)

1 · 2 · 17 · 34 · 53 · 106 · 901 (half) · 1802

Aliquot sum (sum of proper divisors): 1,114

Factor pairs (a × b = 1,802)

1 × 1802

2 × 901

17 × 106

34 × 53

First multiples

1,802 · 3,604 (double) · 5,406 · 7,208 · 9,010 · 10,812 · 12,614 · 14,416 · 16,218 · 18,020

Sums & aliquot sequence

As a sum of two squares: 11² + 41² = 29² + 31²

As consecutive integers: 449 + 450 + 451 + 452 98 + 99 + … + 114 8 + 9 + … + 60

Aliquot sequence: 1,802 → 1,114 → 560 → 928 → 962 → 634 → 320 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 — unresolved within range

Continued fraction of √n

√1,802 = [42; (2, 4, 2, 84)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one thousand eight hundred two
Ordinal: 1802nd
Roman numeral: MDCCCII
Binary: 11100001010
Octal: 3412
Hexadecimal: 0x70A
Base64: Bwo=
One's complement: 63,733 (16-bit)
Scientific notation: 1.802 × 10³
As a duration: 1,802 s = 30 minutes, 2 seconds

In other bases

ternary (3) 2110202

quaternary (4) 130022

quinary (5) 24202

senary (6) 12202

septenary (7) 5153

nonary (9) 2422

undecimal (11) 1399

duodecimal (12) 1062

tridecimal (13) a88

tetradecimal (14) 92a

pentadecimal (15) 802

As an angle

1,802° = 5 × 360° + 2°

2° ≈ 0.035 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian): ͵αωβʹ
Mayan (base 20): 𝋤·𝋪·𝋢
Chinese: 一千八百零二
Chinese (financial): 壹仟捌佰零貳

In other modern scripts

Eastern Arabic ١٨٠٢ Devanagari १८०२ Bengali ১৮০২ Tamil ௧௮௦௨ Thai ๑๘๐๒ Tibetan ༡༨༠༢ Khmer ១៨០២ Lao ໑໘໐໒ Burmese ၁၈၀၂

Digit at this position in famous constants

π — Pi (π): Digit 1,802 = 8
e — Euler's number (e): Digit 1,802 = 0
φ — Golden ratio (φ): Digit 1,802 = 9
√2 — Pythagoras's (√2): Digit 1,802 = 0
ln 2 — Natural log of 2: Digit 1,802 = 5
γ — Euler-Mascheroni (γ): Digit 1,802 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1802, here are decompositions:

13 + 1789 = 1802
19 + 1783 = 1802
43 + 1759 = 1802
61 + 1741 = 1802
79 + 1723 = 1802
103 + 1699 = 1802
109 + 1693 = 1802
139 + 1663 = 1802

Showing the first eight; more decompositions exist.

Unicode codepoint

Syriac Contraction

U+070A

Other punctuation (Po)

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

Lookup U+070A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00070A

RGB(0, 7, 10)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.10.

Address: 0.0.7.10
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.10

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

Musical pitch

Heard as a frequency, 1,802 Hz is closest to:

Concert pitch (A4 = 440 Hz): A6 (1760 Hz, +41¢)
Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, -22¢)
Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, +42¢)

Position in π

The digit sequence 1802 first appears in π at position 3,664 of the decimal expansion (the 3,664ordinal-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 1802 on Pi Search ↗