Number

745

745 is a composite number, odd, a calendar year.

745 (seven hundred forty-five) is an odd 3-digit number. It is a composite number with 4 divisors, and factors as 5 × 149. Written other ways, in Roman numerals it is DCCXLV and in binary, 1011101001.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757

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Historical context — 745 AD

Calendar year

Year 745 (DCCXLV) was a common year starting on Friday of the Julian calendar.

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

Historical context — 745 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: 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: Monday
January 1, 745
Ended on: Monday
December 31, 745
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: 1,281
1281 years before 2026.

In other calendars

Hebrew: 4505 / 4506 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 127 / 128 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Rooster
Sexagenary cycle position 22 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1288 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 123 / 124 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 737 / 738 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 667 / 666 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 16
Digit product: 140
Digital root: 7
Palindrome: No
Bit width: 10 bits
Reversed: 547
Recamán's sequence: a(941) = 745
Square (n²): 555,025
Cube (n³): 413,493,625
Divisor count: 4
σ(n) — sum of divisors: 900
φ(n) — Euler's totient: 592
Sum of prime factors: 154

Primality

Prime factorization: 5 × 149

Nearest primes: 743 (−2) · 751 (+6)

Divisors & multiples

All divisors (4)

1 · 5 · 149 · 745

Aliquot sum (sum of proper divisors): 155

Factor pairs (a × b = 745)

1 × 745

5 × 149

First multiples

745 · 1,490 (double) · 2,235 · 2,980 · 3,725 · 4,470 · 5,215 · 5,960 · 6,705 · 7,450

Sums & aliquot sequence

As a sum of two squares: 4² + 27² = 13² + 24²

As consecutive integers: 372 + 373 147 + 148 + 149 + 150 + 151 70 + 71 + … + 79

Aliquot sequence: 745 → 155 → 37 → 1 → 0 — terminates at zero

Continued fraction of √n

√745 = [27; (3, 2, 1, 1, 5, 2, 10, 2, 5, 1, 1, 2, 3, 54)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: seven hundred forty-five
Ordinal: 745th
Roman numeral: DCCXLV
Binary: 1011101001
Octal: 1351
Hexadecimal: 0x2E9
Base64: Auk=
One's complement: 64,790 (16-bit)
Scientific notation: 7.45 × 10²
As a duration: 745 s = 12 minutes, 25 seconds

In other bases

ternary (3) 1000121

quaternary (4) 23221

quinary (5) 10440

senary (6) 3241

septenary (7) 2113

nonary (9) 1017

undecimal (11) 618

duodecimal (12) 521

tridecimal (13) 454

tetradecimal (14) 3b3

pentadecimal (15) 34a

Palindromic in base 13, base 14

As an angle

745° = 2 × 360° + 25°

25° ≈ 0.436 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ψμεʹ
Mayan (base 20): 𝋡·𝋱·𝋥
Chinese: 七百四十五
Chinese (financial): 柒佰肆拾伍

In other modern scripts

Eastern Arabic ٧٤٥ Devanagari ७४५ Bengali ৭৪৫ Tamil ௭௪௫ Thai ๗๔๕ Tibetan ༧༤༥ Khmer ៧៤៥ Lao ໗໔໕ Burmese ၇၄၅

Digit at this position in famous constants

π — Pi (π): Digit 745 = 1
e — Euler's number (e): Digit 745 = 8
φ — Golden ratio (φ): Digit 745 = 1
√2 — Pythagoras's (√2): Digit 745 = 2
ln 2 — Natural log of 2: Digit 745 = 5
γ — Euler-Mascheroni (γ): Digit 745 = 8

Also seen as

Unicode codepoint

Modifier Letter Extra-Low Tone Bar

U+02E9

Modifier symbol (Sk)

UTF-8 encoding: CB A9 (2 bytes).

Lookup U+02E9 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0002E9

RGB(0, 2, 233)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.233.

Address: 0.0.2.233
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.233

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

Musical pitch

Heard as a frequency, 745 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯5 (740 Hz, +12¢)
Scientific pitch (C4 = 256 Hz): F♯5 (724.1 Hz, +49¢ — about midway to G5)
Baroque pitch (A4 = 415 Hz): G5 (739.4 Hz, +13¢)