Number

738

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

738 (seven hundred thirty-eight) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 41. Its proper divisors sum to 900, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCXXXVIII and in binary, 1011100010.

Abundant Number Cube-Free Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Self Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750

less more

Historical context — 738 AD

Calendar year

Year 738 (DCCXXXVIII) was a common year starting on Wednesday of the Julian calendar, the 738th year of the Common Era (CE) and Anno Domini (AD) designations, the 738th year of the 1st millennium, the 38th year of the 8th century, and the 9th year of the 730s decade.

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

Historical context — 738 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: 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: Saturday
January 1, 738
Ended on: Saturday
December 31, 738
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: 1,288
1288 years before 2026.

In other calendars

Hebrew: 4498 / 4499 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 120 / 121 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Tiger
Sexagenary cycle position 15 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1281 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 116 / 117 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 730 / 731 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 660 / 659 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 18
Digit product: 168
Digital root: 9
Palindrome: No
Bit width: 10 bits
Reversed: 837
Recamán's sequence: a(955) = 738
Square (n²): 544,644
Cube (n³): 401,947,272
Divisor count: 12
σ(n) — sum of divisors: 1,638
φ(n) — Euler's totient: 240
Sum of prime factors: 49

Primality

Prime factorization: 2 × 3 ² × 41

Nearest primes: 733 (−5) · 739 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 41 · 82 · 123 · 246 · 369 (half) · 738

Aliquot sum (sum of proper divisors): 900

Factor pairs (a × b = 738)

1 × 738

2 × 369

3 × 246

6 × 123

9 × 82

18 × 41

First multiples

738 · 1,476 (double) · 2,214 · 2,952 · 3,690 · 4,428 · 5,166 · 5,904 · 6,642 · 7,380

Sums & aliquot sequence

As a sum of two squares: 3² + 27²

As consecutive integers: 245 + 246 + 247 183 + 184 + 185 + 186 78 + 79 + … + 86 56 + 57 + … + 67

Aliquot sequence: 738 → 900 → 1,921 → 131 → 1 → 0 — terminates at zero

Continued fraction of √n

√738 = [27; (6, 54)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: seven hundred thirty-eight
Ordinal: 738th
Roman numeral: DCCXXXVIII
Binary: 1011100010
Octal: 1342
Hexadecimal: 0x2E2
Base64: AuI=
One's complement: 64,797 (16-bit)
Scientific notation: 7.38 × 10²
As a duration: 738 s = 12 minutes, 18 seconds

In other bases

ternary (3) 1000100

quaternary (4) 23202

quinary (5) 10423

senary (6) 3230

septenary (7) 2103

nonary (9) 1010

undecimal (11) 611

duodecimal (12) 516

tridecimal (13) 44a

tetradecimal (14) 3aa

pentadecimal (15) 343

Palindromic in base 15, base 16

As an angle

738° = 2 × 360° + 18°

18° ≈ 0.314 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ψληʹ
Mayan (base 20): 𝋡·𝋰·𝋲
Chinese: 七百三十八
Chinese (financial): 柒佰參拾捌

In other modern scripts

Eastern Arabic ٧٣٨ Devanagari ७३८ Bengali ৭৩৮ Tamil ௭௩௮ Thai ๗๓๘ Tibetan ༧༣༨ Khmer ៧៣៨ Lao ໗໓໘ Burmese ၇၃၈

Digit at this position in famous constants

π — Pi (π): Digit 738 = 2
e — Euler's number (e): Digit 738 = 7
φ — Golden ratio (φ): Digit 738 = 8
√2 — Pythagoras's (√2): Digit 738 = 2
ln 2 — Natural log of 2: Digit 738 = 3
γ — Euler-Mascheroni (γ): Digit 738 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 738, here are decompositions:

5 + 733 = 738
11 + 727 = 738
19 + 719 = 738
29 + 709 = 738
37 + 701 = 738
47 + 691 = 738
61 + 677 = 738
79 + 659 = 738

Showing the first eight; more decompositions exist.

Unicode codepoint

Modifier Letter Small S

U+02E2

Modifier letter (Lm)

UTF-8 encoding: CB A2 (2 bytes).

Lookup U+02E2 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0002E2

RGB(0, 2, 226)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.226.

Address: 0.0.2.226
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.226

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

Musical pitch

Heard as a frequency, 738 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯5 (740 Hz, -5¢)
Scientific pitch (C4 = 256 Hz): F♯5 (724.1 Hz, +33¢)
Baroque pitch (A4 = 415 Hz): G5 (739.4 Hz, -3¢)