Number

832

832 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Descending Digits Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 832 AD

Calendar year

Year 832 (DCCCXXXII) was a leap year starting on Monday of the Julian calendar, the 832nd year of the Common Era (CE) and Anno Domini (AD) designations, the 832nd year of the 1st millennium, the 32nd year of the 9th century, and the 3rd year of the 830s decade.

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Historical context — 832 BC

Decade

This article concerns the period 839 BC – 830 BC.

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Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 832
Ended on: Friday
December 31, 832
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 830s
830–839
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,194
1194 years before 2026.

In other calendars

Hebrew: 4592 / 4593 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 216 / 217 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Rat
Sexagenary cycle position 49 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1375 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 210 / 211 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 824 / 825 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 754 / 753 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 13
Digit product: 48
Digital root: 4
Palindrome: No
Bit width: 10 bits
Reversed: 238
Recamán's sequence: a(99,476) = 832
Square (n²): 692,224
Cube (n³): 575,930,368
Divisor count: 14
σ(n) — sum of divisors: 1,778
φ(n) — Euler's totient: 384
Sum of prime factors: 25

Primality

Prime factorization: 2 ⁶ × 13

Nearest primes: 829 (−3) · 839 (+7)

Divisors & multiples

All divisors (14)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 104 · 208 · 416 (half) · 832

Aliquot sum (sum of proper divisors): 946

Factor pairs (a × b = 832)

1 × 832

2 × 416

4 × 208

8 × 104

13 × 64

16 × 52

26 × 32

First multiples

832 · 1,664 (double) · 2,496 · 3,328 · 4,160 · 4,992 · 5,824 · 6,656 · 7,488 · 8,320

Sums & aliquot sequence

As a sum of two squares: 16² + 24²

As consecutive integers: 58 + 59 + … + 70

Aliquot sequence: 832 → 946 → 638 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Representations

In words: eight hundred thirty-two
Ordinal: 832nd
Roman numeral: DCCCXXXII
Binary: 1101000000
Octal: 1500
Hexadecimal: 0x340
Base64: A0A=
One's complement: 64,703 (16-bit)

In other bases

ternary (3) 1010211

quaternary (4) 31000

quinary (5) 11312

senary (6) 3504

septenary (7) 2266

nonary (9) 1124

undecimal (11) 697

duodecimal (12) 594

tridecimal (13) 4c0

tetradecimal (14) 436

pentadecimal (15) 3a7

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ωλβʹ
Mayan (base 20): 𝋢·𝋡·𝋬
Chinese: 八百三十二
Chinese (financial): 捌佰參拾貳

In other modern scripts

Eastern Arabic ٨٣٢ Devanagari ८३२ Bengali ৮৩২ Tamil ௮௩௨ Thai ๘๓๒ Tibetan ༨༣༢ Khmer ៨៣២ Lao ໘໓໒ Burmese ၈၃၂

Digit at this position in famous constants

π — Pi (π): Digit 832 = 3
e — Euler's number (e): Digit 832 = 2
φ — Golden ratio (φ): Digit 832 = 1
√2 — Pythagoras's (√2): Digit 832 = 4
ln 2 — Natural log of 2: Digit 832 = 2
γ — Euler-Mascheroni (γ): Digit 832 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 832, here are decompositions:

3 + 829 = 832
5 + 827 = 832
11 + 821 = 832
23 + 809 = 832
59 + 773 = 832
71 + 761 = 832
89 + 743 = 832
113 + 719 = 832

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Grave Tone Mark

U+0340

Non-spacing mark (Mn)

UTF-8 encoding: CD 80 (2 bytes).

Lookup U+0340 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000340

RGB(0, 3, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.64.

Address: 0.0.3.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.64

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

NANP area code 832

The number 832 is an active NANP area code (North American Numbering Plan).

Primary area: Houston
Region: Texas
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 832 ↗