Number

700

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

700 (seven hundred) is an even 3-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 7. Its proper divisors sum to 1,036, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCC and in binary, 1010111100.

Abundant Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

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7 notable facts · grade B

688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712

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Historical context — 700 AD

Calendar year

700 (DCC) was a leap year starting on Thursday of the Julian calendar, the 700th year of the Common Era (CE) and Anno Domini (AD) designations, the 700th year of the 1st millennium, the 100th and last year of the 7th century, and the 1st year of the 700s decade.

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

Historical context — 700 BC

Decade

This article concerns the period 709 BC – 700 BC.

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

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: Monday
January 1, 700
Ended on: Monday
December 31, 700
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 700s
700–709
Century: 7th century
601–700
Millennium: 1st millennium
1–1000
Years ago: 1,326
1326 years before 2026.

In other calendars

Hebrew: 4460 / 4461 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 80 / 81 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1243 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 78 / 79 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 692 / 693 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 622 / 621 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 10 bits
Reversed: 7
Recamán's sequence: a(2,224) = 700
Square (n²): 490,000
Cube (n³): 343,000,000
Divisor count: 18
σ(n) — sum of divisors: 1,736
φ(n) — Euler's totient: 240
Sum of prime factors: 21

Primality

Prime factorization: 2 ² × 5 ² × 7

Nearest primes: 691 (−9) · 701 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 25 · 28 · 35 · 50 · 70 · 100 · 140 · 175 · 350 (half) · 700

Aliquot sum (sum of proper divisors): 1,036

Factor pairs (a × b = 700)

1 × 700

2 × 350

4 × 175

5 × 140

7 × 100

10 × 70

14 × 50

20 × 35

25 × 28

First multiples

700 · 1,400 (double) · 2,100 · 2,800 · 3,500 · 4,200 · 4,900 · 5,600 · 6,300 · 7,000

Sums & aliquot sequence

As consecutive integers: 138 + 139 + 140 + 141 + 142 97 + 98 + … + 103 84 + 85 + … + 91 16 + 17 + … + 40

Aliquot sequence: 700 → 1,036 → 1,092 → 2,044 → 2,100 → 4,844 → 4,900 → 7,469 → 1,939 → 285 → 195 → 141 → 51 → 21 → 11 → 1 → 0 — terminates at zero

Continued fraction of √n

√700 = [26; (2, 5, 2, 1, 1, 1, 1, 12, 1, 1, 1, 1, 2, 5, 2, 52)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: seven hundred
Ordinal: 700th
Roman numeral: DCC
Binary: 1010111100
Octal: 1274
Hexadecimal: 0x2BC
Base64: Arw=
One's complement: 64,835 (16-bit)
Scientific notation: 7 × 10²
As a duration: 700 s = 11 minutes, 40 seconds

In other bases

ternary (3) 221221

quaternary (4) 22330

quinary (5) 10300

senary (6) 3124

septenary (7) 2020

nonary (9) 857

undecimal (11) 587

duodecimal (12) 4a4

tridecimal (13) 41b

tetradecimal (14) 380

pentadecimal (15) 31a

Palindromic in base 12

As an angle

700° = 1 × 360° + 340°

340° ≈ 5.934 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian): ψʹ
Mayan (base 20): 𝋡·𝋯·𝋠
Chinese: 七百
Chinese (financial): 柒佰

In other modern scripts

Eastern Arabic ٧٠٠ Devanagari ७०० Bengali ৭০০ Tamil ௭௦௦ Thai ๗๐๐ Tibetan ༧༠༠ Khmer ៧០០ Lao ໗໐໐ Burmese ၇၀၀

Digit at this position in famous constants

π — Pi (π): Digit 700 = 3
e — Euler's number (e): Digit 700 = 0
φ — Golden ratio (φ): Digit 700 = 3
√2 — Pythagoras's (√2): Digit 700 = 4
ln 2 — Natural log of 2: Digit 700 = 6
γ — Euler-Mascheroni (γ): Digit 700 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 700, here are decompositions:

17 + 683 = 700
23 + 677 = 700
41 + 659 = 700
47 + 653 = 700
53 + 647 = 700
59 + 641 = 700
83 + 617 = 700
101 + 599 = 700

Showing the first eight; more decompositions exist.

Unicode codepoint

Modifier Letter Apostrophe

U+02BC

Modifier letter (Lm)

UTF-8 encoding: CA BC (2 bytes).

Lookup U+02BC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0002BC

RGB(0, 2, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.188.

Address: 0.0.2.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.188

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

Musical pitch

Heard as a frequency, 700 Hz is closest to:

Concert pitch (A4 = 440 Hz): F5 (698.5 Hz, +4¢)
Scientific pitch (C4 = 256 Hz): F5 (683.4 Hz, +41¢)
Baroque pitch (A4 = 415 Hz): F♯5 (697.9 Hz, +5¢)