Number

872

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

Deficient Number Descending Digits Odious Number Pernicious Number Recamán's Sequence Self Number Year

Historical context — 872 AD

Calendar year

Year 872 (DCCCLXXII) was a leap year starting on Tuesday of the Julian calendar.

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Historical context — 872 BC

Decade

This article concerns the period 879 BC – 870 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: 52
Started on: Friday
January 1, 872
Ended on: Saturday
December 31, 872
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 870s
870–879
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,154
1154 years before 2026.

In other calendars

Hebrew: 4632 / 4633 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 258 / 259 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1415 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 250 / 251 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 864 / 865 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 794 / 793 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 17
Digit product: 112
Digital root: 8
Palindrome: No
Bit width: 10 bits
Reversed: 278
Recamán's sequence: a(787) = 872
Square (n²): 760,384
Cube (n³): 663,054,848
Divisor count: 8
σ(n) — sum of divisors: 1,650
φ(n) — Euler's totient: 432
Sum of prime factors: 115

Primality

Prime factorization: 2 ³ × 109

Nearest primes: 863 (−9) · 877 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 4 · 8 · 109 · 218 · 436 (half) · 872

Aliquot sum (sum of proper divisors): 778

Factor pairs (a × b = 872)

1 × 872

2 × 436

4 × 218

8 × 109

First multiples

872 · 1,744 (double) · 2,616 · 3,488 · 4,360 · 5,232 · 6,104 · 6,976 · 7,848 · 8,720

Sums & aliquot sequence

As a sum of two squares: 14² + 26²

As consecutive integers: 47 + 48 + … + 62

Aliquot sequence: 872 → 778 → 392 → 463 → 1 → 0 — terminates at zero

Representations

In words: eight hundred seventy-two
Ordinal: 872nd
Roman numeral: DCCCLXXII
Binary: 1101101000
Octal: 1550
Hexadecimal: 0x368
Base64: A2g=
One's complement: 64,663 (16-bit)

In other bases

ternary (3) 1012022

quaternary (4) 31220

quinary (5) 11442

senary (6) 4012

septenary (7) 2354

nonary (9) 1168

undecimal (11) 723

duodecimal (12) 608

tridecimal (13) 521

tetradecimal (14) 464

pentadecimal (15) 3d2

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ωοβʹ
Mayan (base 20): 𝋢·𝋣·𝋬
Chinese: 八百七十二
Chinese (financial): 捌佰柒拾貳

In other modern scripts

Eastern Arabic ٨٧٢ Devanagari ८७२ Bengali ৮৭২ Tamil ௮௭௨ Thai ๘๗๒ Tibetan ༨༧༢ Khmer ៨៧២ Lao ໘໗໒ Burmese ၈၇၂

Digit at this position in famous constants

π — Pi (π): Digit 872 = 5
e — Euler's number (e): Digit 872 = 6
φ — Golden ratio (φ): Digit 872 = 0
√2 — Pythagoras's (√2): Digit 872 = 9
ln 2 — Natural log of 2: Digit 872 = 2
γ — Euler-Mascheroni (γ): Digit 872 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 872, here are decompositions:

13 + 859 = 872
19 + 853 = 872
43 + 829 = 872
61 + 811 = 872
103 + 769 = 872
139 + 733 = 872
163 + 709 = 872
181 + 691 = 872

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Latin Small Letter C

U+0368

Non-spacing mark (Mn)

UTF-8 encoding: CD A8 (2 bytes).

Lookup U+0368 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000368

RGB(0, 3, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.104.

Address: 0.0.3.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.104

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

NANP area code 872

The number 872 is an active NANP area code (North American Numbering Plan).

Primary area: Chicago
Region: Illinois
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 872 ↗