Number

748

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

748 (seven hundred forty-eight) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 17. Its proper divisors sum to 764, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCXLVIII and in binary, 1011101100.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760

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Historical context — 748 AD

Calendar year

Year 748 (DCCXLVIII) was a leap year starting on Monday of the Julian calendar.

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

Historical context — 748 BC

Decade

This article concerns the period 749 BC – 740 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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 748
Ended on: Friday
December 31, 748
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 740s
740–749
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,278
1278 years before 2026.

In other calendars

Hebrew: 4508 / 4509 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 130 / 131 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1291 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 126 / 127 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 740 / 741 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 670 / 669 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 19
Digit product: 224
Digital root: 1
Palindrome: No
Bit width: 10 bits
Reversed: 847
Recamán's sequence: a(935) = 748
Square (n²): 559,504
Cube (n³): 418,508,992
Divisor count: 12
σ(n) — sum of divisors: 1,512
φ(n) — Euler's totient: 320
Sum of prime factors: 32

Primality

Prime factorization: 2 ² × 11 × 17

Nearest primes: 743 (−5) · 751 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 11 · 17 · 22 · 34 · 44 · 68 · 187 · 374 (half) · 748

Aliquot sum (sum of proper divisors): 764

Factor pairs (a × b = 748)

1 × 748

2 × 374

4 × 187

11 × 68

17 × 44

22 × 34

First multiples

748 · 1,496 (double) · 2,244 · 2,992 · 3,740 · 4,488 · 5,236 · 5,984 · 6,732 · 7,480

Sums & aliquot sequence

As consecutive integers: 90 + 91 + … + 97 63 + 64 + … + 73 36 + 37 + … + 52

Aliquot sequence: 748 → 764 → 580 → 680 → 940 → 1,076 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 — unresolved within range

Continued fraction of √n

√748 = [27; (2, 1, 6, 5, 1, 12, 1, 5, 6, 1, 2, 54)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: seven hundred forty-eight
Ordinal: 748th
Roman numeral: DCCXLVIII
Binary: 1011101100
Octal: 1354
Hexadecimal: 0x2EC
Base64: Auw=
One's complement: 64,787 (16-bit)
Scientific notation: 7.48 × 10²
As a duration: 748 s = 12 minutes, 28 seconds

In other bases

ternary (3) 1000201

quaternary (4) 23230

quinary (5) 10443

senary (6) 3244

septenary (7) 2116

nonary (9) 1021

undecimal (11) 620

duodecimal (12) 524

tridecimal (13) 457

tetradecimal (14) 3b6

pentadecimal (15) 34d

As an angle

748° = 2 × 360° + 28°

28° ≈ 0.489 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ψμηʹ
Mayan (base 20): 𝋡·𝋱·𝋨
Chinese: 七百四十八
Chinese (financial): 柒佰肆拾捌

In other modern scripts

Eastern Arabic ٧٤٨ Devanagari ७४८ Bengali ৭৪৮ Tamil ௭௪௮ Thai ๗๔๘ Tibetan ༧༤༨ Khmer ៧៤៨ Lao ໗໔໘ Burmese ၇၄၈

Digit at this position in famous constants

π — Pi (π): Digit 748 = 9
e — Euler's number (e): Digit 748 = 9
φ — Golden ratio (φ): Digit 748 = 0
√2 — Pythagoras's (√2): Digit 748 = 4
ln 2 — Natural log of 2: Digit 748 = 4
γ — Euler-Mascheroni (γ): Digit 748 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 748, here are decompositions:

5 + 743 = 748
29 + 719 = 748
47 + 701 = 748
71 + 677 = 748
89 + 659 = 748
101 + 647 = 748
107 + 641 = 748
131 + 617 = 748

Showing the first eight; more decompositions exist.

Unicode codepoint

Modifier Letter Voicing

U+02EC

Modifier letter (Lm)

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

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

Hex color

#0002EC

RGB(0, 2, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.236.

Address: 0.0.2.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.236

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

Musical pitch

Heard as a frequency, 748 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯5 (740 Hz, +19¢)
Scientific pitch (C4 = 256 Hz): G5 (767.1 Hz, -44¢)
Baroque pitch (A4 = 415 Hz): G5 (739.4 Hz, +20¢)