Number

732

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

732 (seven hundred thirty-two) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 61. Its proper divisors sum to 1,004, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCXXXII and in binary, 1011011100.

Abundant Number Cube-Free Descending Digits Evil Number Harshad / Niven Moran Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744

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Notable events — 732 AD

Oct 10 Charles Martel defeats the Umayyads at the Battle of Tours.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Historical context — 732 BC

Decade

This article concerns the period 739 BC – 730 BC.

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: Friday
January 1, 732
Ended on: Saturday
December 31, 732
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 730s
730–739
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,294
1294 years before 2026.

In other calendars

Hebrew: 4492 / 4493 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 113 / 114 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: 1275 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 110 / 111 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 724 / 725 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 654 / 653 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 42
Digital root: 3
Palindrome: No
Bit width: 10 bits
Reversed: 237
Recamán's sequence: a(967) = 732
Square (n²): 535,824
Cube (n³): 392,223,168
Divisor count: 12
σ(n) — sum of divisors: 1,736
φ(n) — Euler's totient: 240
Sum of prime factors: 68

Primality

Prime factorization: 2 ² × 3 × 61

Nearest primes: 727 (−5) · 733 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 61 · 122 · 183 · 244 · 366 (half) · 732

Aliquot sum (sum of proper divisors): 1,004

Factor pairs (a × b = 732)

1 × 732

2 × 366

3 × 244

4 × 183

6 × 122

12 × 61

First multiples

732 · 1,464 (double) · 2,196 · 2,928 · 3,660 · 4,392 · 5,124 · 5,856 · 6,588 · 7,320

Sums & aliquot sequence

As consecutive integers: 243 + 244 + 245 88 + 89 + … + 95 19 + 20 + … + 42

Aliquot sequence: 732 → 1,004 → 760 → 1,040 → 1,564 → 1,460 → 1,648 → 1,576 → 1,394 → 874 → 566 → 286 → 218 → 112 → 136 → 134 → 70 — unresolved within range

Continued fraction of √n

√732 = [27; (18, 54)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: seven hundred thirty-two
Ordinal: 732nd
Roman numeral: DCCXXXII
Binary: 1011011100
Octal: 1334
Hexadecimal: 0x2DC
Base64: Atw=
One's complement: 64,803 (16-bit)
Scientific notation: 7.32 × 10²
As a duration: 732 s = 12 minutes, 12 seconds

In other bases

ternary (3) 1000010

quaternary (4) 23130

quinary (5) 10412

senary (6) 3220

septenary (7) 2064

nonary (9) 1003

undecimal (11) 606

duodecimal (12) 510

tridecimal (13) 444

tetradecimal (14) 3a4

pentadecimal (15) 33c

Palindromic in base 11, base 13

As an angle

732° = 2 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ψλβʹ
Mayan (base 20): 𝋡·𝋰·𝋬
Chinese: 七百三十二
Chinese (financial): 柒佰參拾貳

In other modern scripts

Eastern Arabic ٧٣٢ Devanagari ७३२ Bengali ৭৩২ Tamil ௭௩௨ Thai ๗๓๒ Tibetan ༧༣༢ Khmer ៧៣២ Lao ໗໓໒ Burmese ၇၃၂

Digit at this position in famous constants

π — Pi (π): Digit 732 = 5
e — Euler's number (e): Digit 732 = 4
φ — Golden ratio (φ): Digit 732 = 1
√2 — Pythagoras's (√2): Digit 732 = 7
ln 2 — Natural log of 2: Digit 732 = 9
γ — Euler-Mascheroni (γ): Digit 732 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 732, here are decompositions:

5 + 727 = 732
13 + 719 = 732
23 + 709 = 732
31 + 701 = 732
41 + 691 = 732
59 + 673 = 732
71 + 661 = 732
73 + 659 = 732

Showing the first eight; more decompositions exist.

Unicode codepoint

Small Tilde

U+02DC

Modifier symbol (Sk)

UTF-8 encoding: CB 9C (2 bytes).

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

Hex color

#0002DC

RGB(0, 2, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.220.

Address: 0.0.2.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.220

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

NANP area code 732

The number 732 is an active NANP area code (North American Numbering Plan).

Primary area: New Brunswick / Toms River
Region: New Jersey
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 732 ↗

Musical pitch

Heard as a frequency, 732 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯5 (740 Hz, -19¢)
Scientific pitch (C4 = 256 Hz): F♯5 (724.1 Hz, +19¢)
Baroque pitch (A4 = 415 Hz): G5 (739.4 Hz, -18¢)