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Number

712

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

Deficient Number Evil Number Recamán's Sequence Year

Historical context — 712 AD

Calendar year

Year 712 (DCCXII) was a leap year starting on Friday of the Julian calendar, the 712th year of the Common Era (CE) and Anno Domini (AD) designations, the 712th year of the 1st millennium, the 12th year of the 8th century, and the 3rd year of the 710s decade.

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Historical context — 712 BC

Decade

This article concerns the period 719 BC – 710 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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
Monday
January 1, 712
Ended on
Tuesday
December 31, 712
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
710s
710–719
Century
8th century
701–800
Millennium
1st millennium
1–1000
Years ago
1,314
1314 years before 2026.

In other calendars

Hebrew
4472 / 4473 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
93 / 94 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
1255 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
90 / 91 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
704 / 705 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
634 / 633 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
10
Digit product
14
Digital root
1
Palindrome
No
Bit width
10 bits
Reversed
217
Recamán's sequence
a(2,200) = 712
Square (n²)
506,944
Cube (n³)
360,944,128
Divisor count
8
σ(n) — sum of divisors
1,350
φ(n) — Euler's totient
352
Sum of prime factors
95

Primality

Prime factorization: 2 3 × 89

Nearest primes: 709 (−3) · 719 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 89 · 178 · 356 (half) · 712
Aliquot sum (sum of proper divisors): 638
Factor pairs (a × b = 712)
1 × 712
2 × 356
4 × 178
8 × 89
First multiples
712 · 1,424 (double) · 2,136 · 2,848 · 3,560 · 4,272 · 4,984 · 5,696 · 6,408 · 7,120

Sums & aliquot sequence

As a sum of two squares: 6² + 26²
As consecutive integers: 37 + 38 + … + 52
Aliquot sequence: 712 638 442 314 160 218 112 136 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
seven hundred twelve
Ordinal
712th
Roman numeral
DCCXII
Binary
1011001000
Octal
1310
Hexadecimal
0x2C8
Base64
Asg=
One's complement
64,823 (16-bit)
In other bases
ternary (3) 222101
quaternary (4) 23020
quinary (5) 10322
senary (6) 3144
septenary (7) 2035
nonary (9) 871
undecimal (11) 598
duodecimal (12) 4b4
tridecimal (13) 42a
tetradecimal (14) 38c
pentadecimal (15) 327

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
ψιβʹ
Mayan (base 20)
𝋡·𝋯·𝋬
Chinese
七百一十二
Chinese (financial)
柒佰壹拾貳
In other modern scripts
Eastern Arabic ٧١٢ Devanagari ७१२ Bengali ৭১২ Tamil ௭௧௨ Thai ๗๑๒ Tibetan ༧༡༢ Khmer ៧១២ Lao ໗໑໒ Burmese ၇၁၂

Digit at this position in famous constants

π — Pi (π)
Digit 712 = 2
e — Euler's number (e)
Digit 712 = 3
φ — Golden ratio (φ)
Digit 712 = 5
√2 — Pythagoras's (√2)
Digit 712 = 9
ln 2 — Natural log of 2
Digit 712 = 1
γ — Euler-Mascheroni (γ)
Digit 712 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 712, here are decompositions:

  • 3 + 709 = 712
  • 11 + 701 = 712
  • 29 + 683 = 712
  • 53 + 659 = 712
  • 59 + 653 = 712
  • 71 + 641 = 712
  • 113 + 599 = 712
  • 149 + 563 = 712

Showing the first eight; more decompositions exist.

Unicode codepoint
ˈ
Modifier Letter Vertical Line
U+02C8
Modifier letter (Lm)

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

Hex color
#0002C8
RGB(0, 2, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.200.

Address
0.0.2.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.2.200

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

NANP area code 712

The number 712 is an active NANP area code (North American Numbering Plan).

Primary area
Sioux City / Council Bluffs
Region
Iowa
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.

Possible US bank routing number

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

Routing number
000000712
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.