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Number

1,902

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

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

Notable events — 1902 AD

  1. May 8 Mount Pelée erupts on Martinique, destroying Saint-Pierre and killing about 30,000.
  2. May 20 Cuba gains independence from the United States.
  3. May 31 The Treaty of Vereeniging ends the Second Boer War.
  4. Jul 11 Arthur Balfour becomes UK prime minister, succeeding Salisbury.
  5. 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

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)
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

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
ݮ
Arabic Letter Hah With Small Arabic Letter Tah Below
U+076E
Other letter (Lo)

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

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.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001902
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

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.