Number

672

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

672 (six hundred seventy-two) is an even 3-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 7. Its proper divisors sum to 1,344, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCLXXII and in binary, 1010100000.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Year Zuckerman Number

Interestingness

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6 notable facts · grade B

660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684

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Historical context — 672 AD

Calendar year

Year 672 (DCLXXII) was a leap year starting on Thursday of the Julian calendar.

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

Historical context — 672 BC

Calendar year

The year 672 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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, 672
Ended on: Tuesday
December 31, 672
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 670s
670–679
Century: 7th century
601–700
Millennium: 1st millennium
1–1000
Years ago: 1,354
1354 years before 2026.

In other calendars

Hebrew: 4432 / 4433 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 51 / 53 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1215 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 50 / 51 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 664 / 665 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 594 / 593 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 15
Digit product: 84
Digital root: 6
Palindrome: No
Bit width: 10 bits
Reversed: 276
Recamán's sequence: a(2,280) = 672
Square (n²): 451,584
Cube (n³): 303,464,448
Divisor count: 24
σ(n) — sum of divisors: 2,016
φ(n) — Euler's totient: 192
Sum of prime factors: 20

Primality

Prime factorization: 2 ⁵ × 3 × 7

Nearest primes: 661 (−11) · 673 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 84 · 96 · 112 · 168 · 224 · 336 (half) · 672

Aliquot sum (sum of proper divisors): 1,344

Factor pairs (a × b = 672)

1 × 672

2 × 336

3 × 224

4 × 168

6 × 112

7 × 96

8 × 84

12 × 56

14 × 48

16 × 42

21 × 32

24 × 28

First multiples

672 · 1,344 (double) · 2,016 · 2,688 · 3,360 · 4,032 · 4,704 · 5,376 · 6,048 · 6,720

Sums & aliquot sequence

As consecutive integers: 223 + 224 + 225 93 + 94 + … + 99 22 + 23 + … + 42

Aliquot sequence: 672 → 1,344 → 2,720 → 4,084 → 3,070 → 2,474 → 1,240 → 1,640 → 2,140 → 2,396 → 1,804 → 1,724 → 1,300 → 1,738 → 1,142 → 574 → 434 — unresolved within range

Continued fraction of √n

√672 = [25; (1, 11, 1, 50)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: six hundred seventy-two
Ordinal: 672nd
Roman numeral: DCLXXII
Binary: 1010100000
Octal: 1240
Hexadecimal: 0x2A0
Base64: AqA=
One's complement: 64,863 (16-bit)
Scientific notation: 6.72 × 10²
As a duration: 672 s = 11 minutes, 12 seconds

In other bases

ternary (3) 220220

quaternary (4) 22200

quinary (5) 10142

senary (6) 3040

septenary (7) 1650

nonary (9) 826

undecimal (11) 561

duodecimal (12) 480

tridecimal (13) 3c9

tetradecimal (14) 360

pentadecimal (15) 2ec

As an angle

672° = 1 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): χοβʹ
Mayan (base 20): 𝋡·𝋭·𝋬
Chinese: 六百七十二
Chinese (financial): 陸佰柒拾貳

In other modern scripts

Eastern Arabic ٦٧٢ Devanagari ६७२ Bengali ৬৭২ Tamil ௬௭௨ Thai ๖๗๒ Tibetan ༦༧༢ Khmer ៦៧២ Lao ໖໗໒ Burmese ၆၇၂

Digit at this position in famous constants

π — Pi (π): Digit 672 = 4
e — Euler's number (e): Digit 672 = 5
φ — Golden ratio (φ): Digit 672 = 5
√2 — Pythagoras's (√2): Digit 672 = 0
ln 2 — Natural log of 2: Digit 672 = 3
γ — Euler-Mascheroni (γ): Digit 672 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 672, here are decompositions:

11 + 661 = 672
13 + 659 = 672
19 + 653 = 672
29 + 643 = 672
31 + 641 = 672
41 + 631 = 672
53 + 619 = 672
59 + 613 = 672

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Small Letter Q With Hook

U+02A0

Lowercase letter (Ll)

UTF-8 encoding: CA A0 (2 bytes).

Lookup U+02A0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0002A0

RGB(0, 2, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.160.

Address: 0.0.2.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.160

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

NANP area code 672

The number 672 is an active NANP area code (North American Numbering Plan).

Primary area: Statewide
Region: British Columbia
Country: Canada

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 672 ↗

Musical pitch

Heard as a frequency, 672 Hz is closest to:

Concert pitch (A4 = 440 Hz): E5 (659.3 Hz, +33¢)
Scientific pitch (C4 = 256 Hz): F5 (683.4 Hz, -29¢)
Baroque pitch (A4 = 415 Hz): F5 (658.8 Hz, +34¢)