Number

1,902

1,902 is a composite number, even, a calendar year.

1,902 (one thousand nine hundred two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 317. Its proper divisors sum to 1,914, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCMII and in binary, 11101101110.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,890 1,891 1,892 1,893 1,894 1,895 1,896 1,897 1,898 1,899 1,900 1,901 1,902 1,903 1,904 1,905 1,906 1,907 1,908 1,909 1,910 1,911 1,912 1,913 1,914

less more

Notable events — 1902 AD

May 8 Mount Pelée erupts on Martinique, destroying Saint-Pierre and killing about 30,000.
May 20 Cuba gains independence from the United States.
May 31 The Treaty of Vereeniging ends the Second Boer War.
Jul 11 Arthur Balfour becomes UK prime minister, succeeding Salisbury.
Nov 18 The Teddy Bear is inspired by a Theodore Roosevelt hunting trip.

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: Wednesday
January 1, 1902
Ended on: Wednesday
December 31, 1902
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: March 30
Sunday, March 30, 1902
Decade: 1900s
1900–1909
Century: 20th century
1901–2000
Millennium: 2nd millennium
1001–2000
Years ago: 124
124 years before 2026.

In other calendars

Hebrew: 5662 / 5663 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1319 / 1320 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2445 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1280 / 1281 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1894 / 1895 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1824 / 1823 Saka
Indian national calendar; year starts in March.
Japanese: Meiji 35
Reign-era counting from the start of each emperor's reign.

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 2,091
Recamán's sequence: a(7,940) = 1,902
Square (n²): 3,617,604
Cube (n³): 6,880,682,808
Divisor count: 8
σ(n) — sum of divisors: 3,816
φ(n) — Euler's totient: 632
Sum of prime factors: 322

Primality

Prime factorization: 2 × 3 × 317

Nearest primes: 1,901 (−1) · 1,907 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 317 · 634 · 951 (half) · 1902

Aliquot sum (sum of proper divisors): 1,914

Factor pairs (a × b = 1,902)

1 × 1902

2 × 951

3 × 634

6 × 317

First multiples

1,902 · 3,804 (double) · 5,706 · 7,608 · 9,510 · 11,412 · 13,314 · 15,216 · 17,118 · 19,020

Sums & aliquot sequence

As consecutive integers: 633 + 634 + 635 474 + 475 + 476 + 477 153 + 154 + … + 164

Aliquot sequence: 1,902 → 1,914 → 2,406 → 2,418 → 2,958 → 3,522 → 3,534 → 4,146 → 4,158 → 7,362 → 8,628 → 11,532 → 16,272 → 29,670 → 46,362 → 46,374 → 48,666 — unresolved within range

Continued fraction of √n

√1,902 = [43; (1, 1, 1, 1, 2, 1, 3, 14, 3, 1, 2, 1, 1, 1, 1, 86)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one thousand nine hundred two
Ordinal: 1902nd
Roman numeral: MCMII
Binary: 11101101110
Octal: 3556
Hexadecimal: 0x76E
Base64: B24=
One's complement: 63,633 (16-bit)
Scientific notation: 1.902 × 10³
As a duration: 1,902 s = 31 minutes, 42 seconds

In other bases

ternary (3) 2121110

quaternary (4) 131232

quinary (5) 30102

senary (6) 12450

septenary (7) 5355

nonary (9) 2543

undecimal (11) 147a

duodecimal (12) 1126

tridecimal (13) b34

tetradecimal (14) 99c

pentadecimal (15) 86c

As an angle

1,902° = 5 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian): ͵αϡβʹ
Mayan (base 20): 𝋤·𝋯·𝋢
Chinese: 一千九百零二
Chinese (financial): 壹仟玖佰零貳

In other modern scripts

Eastern Arabic ١٩٠٢ Devanagari १९०२ Bengali ১৯০২ Tamil ௧௯௦௨ Thai ๑๙๐๒ Tibetan ༡༩༠༢ Khmer ១៩០២ Lao ໑໙໐໒ Burmese ၁၉၀၂

Digit at this position in famous constants

π — Pi (π): Digit 1,902 = 0
e — Euler's number (e): Digit 1,902 = 5
φ — Golden ratio (φ): Digit 1,902 = 2
√2 — Pythagoras's (√2): Digit 1,902 = 2
ln 2 — Natural log of 2: Digit 1,902 = 0
γ — Euler-Mascheroni (γ): Digit 1,902 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1902, here are decompositions:

13 + 1889 = 1902
23 + 1879 = 1902
29 + 1873 = 1902
31 + 1871 = 1902
41 + 1861 = 1902
71 + 1831 = 1902
79 + 1823 = 1902
101 + 1801 = 1902

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Hah With Small Arabic Letter Tah Below

U+076E

Other letter (Lo)

UTF-8 encoding: DD AE (2 bytes).

Lookup U+076E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00076E

RGB(0, 7, 110)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.110.

Address: 0.0.7.110
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.110

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

Musical pitch

Heard as a frequency, 1,902 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯6 (1864.7 Hz, +34¢)
Scientific pitch (C4 = 256 Hz): B6 (1933.1 Hz, -28¢)
Baroque pitch (A4 = 415 Hz): B6 (1863.3 Hz, +36¢)

Position in π

The digit sequence 1902 first appears in π at position 9,845 of the decimal expansion (the 9,845ordinal-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 1902 on Pi Search ↗