Number

1,864

1,864 is a composite number, even, a calendar year.

1,864 (one thousand eight hundred sixty-four) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2³ × 233. Written other ways, in Roman numerals it is MDCCCLXIV and in binary, 11101001000.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Year

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,852 1,853 1,854 1,855 1,856 1,857 1,858 1,859 1,860 1,861 1,862 1,863 1,864 1,865 1,866 1,867 1,868 1,869 1,870 1,871 1,872 1,873 1,874 1,875 1,876

less more

Notable events — 1864 AD

Nov 8 Lincoln is re-elected, defeating George McClellan.
Nov 15 Sherman begins his March to the Sea.
Apr 8 The US Senate passes the 13th Amendment to abolish slavery.
Aug 22 Twelve nations sign the First Geneva Convention.
Oct 31 Nevada becomes the 36th US state.

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: Friday
January 1, 1864
Ended on: Saturday
December 31, 1864
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: March 27
Sunday, March 27, 1864
Decade: 1860s
1860–1869
Century: 19th century
1801–1900
Millennium: 2nd millennium
1001–2000
Years ago: 162
162 years before 2026.
US presidential election: Yes
US holds a presidential election in years divisible by 4 starting from 1788.

In other calendars

Hebrew: 5624 / 5625 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1280 / 1281 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Rat
Sexagenary cycle position 1 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2407 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1242 / 1243 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1856 / 1857 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1786 / 1785 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 19
Digit product: 192
Digital root: 1
Palindrome: No
Bit width: 11 bits
Reversed: 4,681
Recamán's sequence: a(8,016) = 1,864
Square (n²): 3,474,496
Cube (n³): 6,476,460,544
Divisor count: 8
σ(n) — sum of divisors: 3,510
φ(n) — Euler's totient: 928
Sum of prime factors: 239

Primality

Prime factorization: 2 ³ × 233

Nearest primes: 1,861 (−3) · 1,867 (+3)

Divisors & multiples

All divisors (8)

1 · 2 · 4 · 8 · 233 · 466 · 932 (half) · 1864

Aliquot sum (sum of proper divisors): 1,646

Factor pairs (a × b = 1,864)

1 × 1864

2 × 932

4 × 466

8 × 233

First multiples

1,864 · 3,728 (double) · 5,592 · 7,456 · 9,320 · 11,184 · 13,048 · 14,912 · 16,776 · 18,640

Sums & aliquot sequence

As a sum of two squares: 10² + 42²

As consecutive integers: 109 + 110 + … + 124

Aliquot sequence: 1,864 → 1,646 → 826 → 614 → 310 → 266 → 214 → 110 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,864 = [43; (5, 1, 2, 1, 11, 1, 1, 2, 10, 2, 1, 1, 11, 1, 2, 1, 5, 86)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one thousand eight hundred sixty-four
Ordinal: 1864th
Roman numeral: MDCCCLXIV
Binary: 11101001000
Octal: 3510
Hexadecimal: 0x748
Base64: B0g=
One's complement: 63,671 (16-bit)
Scientific notation: 1.864 × 10³
As a duration: 1,864 s = 31 minutes, 4 seconds

In other bases

ternary (3) 2120001

quaternary (4) 131020

quinary (5) 24424

senary (6) 12344

septenary (7) 5302

nonary (9) 2501

undecimal (11) 1445

duodecimal (12) 10b4

tridecimal (13) b05

tetradecimal (14) 972

pentadecimal (15) 844

As an angle

1,864° = 5 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αωξδʹ
Mayan (base 20): 𝋤·𝋭·𝋤
Chinese: 一千八百六十四
Chinese (financial): 壹仟捌佰陸拾肆

In other modern scripts

Eastern Arabic ١٨٦٤ Devanagari १८६४ Bengali ১৮৬৪ Tamil ௧௮௬௪ Thai ๑๘๖๔ Tibetan ༡༨༦༤ Khmer ១៨៦៤ Lao ໑໘໖໔ Burmese ၁၈၆၄

Digit at this position in famous constants

π — Pi (π): Digit 1,864 = 4
e — Euler's number (e): Digit 1,864 = 1
φ — Golden ratio (φ): Digit 1,864 = 3
√2 — Pythagoras's (√2): Digit 1,864 = 9
ln 2 — Natural log of 2: Digit 1,864 = 3
γ — Euler-Mascheroni (γ): Digit 1,864 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1864, here are decompositions:

3 + 1861 = 1864
17 + 1847 = 1864
41 + 1823 = 1864
53 + 1811 = 1864
131 + 1733 = 1864
167 + 1697 = 1864
197 + 1667 = 1864
227 + 1637 = 1864

Showing the first eight; more decompositions exist.

Unicode codepoint

Syriac Oblique Line Below

U+0748

Non-spacing mark (Mn)

UTF-8 encoding: DD 88 (2 bytes).

Lookup U+0748 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000748

RGB(0, 7, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.72.

Address: 0.0.7.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.7.72

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

Musical pitch

Heard as a frequency, 1,864 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯6 (1864.7 Hz, -1¢)
Scientific pitch (C4 = 256 Hz): A♯6 (1824.6 Hz, +37¢)
Baroque pitch (A4 = 415 Hz): B6 (1863.3 Hz, +1¢)

Position in π

The digit sequence 1864 first appears in π at position 2,989 of the decimal expansion (the 2,989ordinal-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 1864 on Pi Search ↗