Number

744

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

744 (seven hundred forty-four) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 31. Its proper divisors sum to 1,176, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCXLIV and in binary, 1011101000.

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

Interestingness

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4 notable facts · grade D

732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756

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Historical context — 744 AD

Calendar year

Year 744 (DCCXLIV) was a leap year starting on Wednesday of the Julian calendar.

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

Historical context — 744 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: 52
Started on: Saturday
January 1, 744
Ended on: Sunday
December 31, 744
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 740s
740–749
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,282
1282 years before 2026.

In other calendars

Hebrew: 4504 / 4505 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 126 / 127 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1287 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 122 / 123 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 736 / 737 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 666 / 665 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 15
Digit product: 112
Digital root: 6
Palindrome: No
Bit width: 10 bits
Reversed: 447
Recamán's sequence: a(943) = 744
Square (n²): 553,536
Cube (n³): 411,830,784
Divisor count: 16
σ(n) — sum of divisors: 1,920
φ(n) — Euler's totient: 240
Sum of prime factors: 40

Primality

Prime factorization: 2 ³ × 3 × 31

Nearest primes: 743 (−1) · 751 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 31 · 62 · 93 · 124 · 186 · 248 · 372 (half) · 744

Aliquot sum (sum of proper divisors): 1,176

Factor pairs (a × b = 744)

1 × 744

2 × 372

3 × 248

4 × 186

6 × 124

8 × 93

12 × 62

24 × 31

First multiples

744 · 1,488 (double) · 2,232 · 2,976 · 3,720 · 4,464 · 5,208 · 5,952 · 6,696 · 7,440

Sums & aliquot sequence

As consecutive integers: 247 + 248 + 249 39 + 40 + … + 54 9 + 10 + … + 39

Aliquot sequence: 744 → 1,176 → 2,244 → 3,804 → 5,100 → 10,524 → 14,060 → 17,860 → 22,460 → 24,748 → 20,612 → 15,466 → 11,894 → 6,946 → 3,998 → 2,002 → 2,030 — unresolved within range

Continued fraction of √n

√744 = [27; (3, 1, 1, 1, 1, 1, 1, 1, 3, 54)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: seven hundred forty-four
Ordinal: 744th
Roman numeral: DCCXLIV
Binary: 1011101000
Octal: 1350
Hexadecimal: 0x2E8
Base64: Aug=
One's complement: 64,791 (16-bit)
Scientific notation: 7.44 × 10²
As a duration: 744 s = 12 minutes, 24 seconds

In other bases

ternary (3) 1000120

quaternary (4) 23220

quinary (5) 10434

senary (6) 3240

septenary (7) 2112

nonary (9) 1016

undecimal (11) 617

duodecimal (12) 520

tridecimal (13) 453

tetradecimal (14) 3b2

pentadecimal (15) 349

Palindromic in base 7

As an angle

744° = 2 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ψμδʹ
Mayan (base 20): 𝋡·𝋱·𝋤
Chinese: 七百四十四
Chinese (financial): 柒佰肆拾肆

In other modern scripts

Eastern Arabic ٧٤٤ Devanagari ७४४ Bengali ৭৪৪ Tamil ௭௪௪ Thai ๗๔๔ Tibetan ༧༤༤ Khmer ៧៤៤ Lao ໗໔໔ Burmese ၇၄၄

Digit at this position in famous constants

π — Pi (π): Digit 744 = 7
e — Euler's number (e): Digit 744 = 3
φ — Golden ratio (φ): Digit 744 = 6
√2 — Pythagoras's (√2): Digit 744 = 3
ln 2 — Natural log of 2: Digit 744 = 8
γ — Euler-Mascheroni (γ): Digit 744 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 744, here are decompositions:

5 + 739 = 744
11 + 733 = 744
17 + 727 = 744
43 + 701 = 744
53 + 691 = 744
61 + 683 = 744
67 + 677 = 744
71 + 673 = 744

Showing the first eight; more decompositions exist.

Unicode codepoint

Modifier Letter Low Tone Bar

U+02E8

Modifier symbol (Sk)

UTF-8 encoding: CB A8 (2 bytes).

Lookup U+02E8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0002E8

RGB(0, 2, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.232.

Address: 0.0.2.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.232

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

Musical pitch

Heard as a frequency, 744 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯5 (740 Hz, +9¢)
Scientific pitch (C4 = 256 Hz): F♯5 (724.1 Hz, +47¢ — about midway to G5)
Baroque pitch (A4 = 415 Hz): G5 (739.4 Hz, +11¢)