Number

726

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

726 (seven hundred twenty-six) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2 × 3 × 11². Its proper divisors sum to 870, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCXXVI and in binary, 1011010110.

Abundant Number Arithmetic Number Cube-Free Evil Number Pentagonal Pyramidal Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

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6 notable facts · grade B

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Historical context — 726 AD

Calendar year

Year 726 (DCCXXVI) was a common year starting on Tuesday of the Julian calendar, the 726th year of the Common Era (CE) and Anno Domini (AD) designations, the 726th year of the 1st millennium, the 26th year of the 8th century, and the 7th year of the 720s decade.

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

Historical context — 726 BC

Decade

This article concerns the period 729 BC – 720 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: Friday
January 1, 726
Ended on: Friday
December 31, 726
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 720s
720–729
Century: 8th century
701–800
Millennium: 1st millennium
1–1000
Years ago: 1,300
1300 years before 2026.

In other calendars

Hebrew: 4486 / 4487 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 107 / 108 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Tiger
Sexagenary cycle position 3 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1269 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 104 / 105 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 718 / 719 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 648 / 647 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 15
Digit product: 84
Digital root: 6
Palindrome: No
Bit width: 10 bits
Reversed: 627
Recamán's sequence: a(979) = 726
Square (n²): 527,076
Cube (n³): 382,657,176
Divisor count: 12
σ(n) — sum of divisors: 1,596
φ(n) — Euler's totient: 220
Sum of prime factors: 27

Primality

Prime factorization: 2 × 3 × 11 ²

Nearest primes: 719 (−7) · 727 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 121 · 242 · 363 (half) · 726

Aliquot sum (sum of proper divisors): 870

Factor pairs (a × b = 726)

1 × 726

2 × 363

3 × 242

6 × 121

11 × 66

22 × 33

First multiples

726 · 1,452 (double) · 2,178 · 2,904 · 3,630 · 4,356 · 5,082 · 5,808 · 6,534 · 7,260

Sums & aliquot sequence

As consecutive integers: 241 + 242 + 243 180 + 181 + 182 + 183 61 + 62 + … + 71 55 + 56 + … + 66

Aliquot sequence: 726 → 870 → 1,290 → 1,878 → 1,890 → 3,870 → 6,426 → 10,854 → 13,830 → 19,434 → 20,886 → 21,606 → 25,098 → 26,742 → 26,754 → 40,446 → 63,234 — unresolved within range

Continued fraction of √n

√726 = [26; (1, 16, 1, 52)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: seven hundred twenty-six
Ordinal: 726th
Roman numeral: DCCXXVI
Binary: 1011010110
Octal: 1326
Hexadecimal: 0x2D6
Base64: AtY=
One's complement: 64,809 (16-bit)
Scientific notation: 7.26 × 10²
As a duration: 726 s = 12 minutes, 6 seconds

In other bases

ternary (3) 222220

quaternary (4) 23112

quinary (5) 10401

senary (6) 3210

septenary (7) 2055

nonary (9) 886

undecimal (11) 600

duodecimal (12) 506

tridecimal (13) 43b

tetradecimal (14) 39c

pentadecimal (15) 336

Palindromic in base 5

As an angle

726° = 2 × 360° + 6°

6° ≈ 0.105 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ψκϛʹ
Mayan (base 20): 𝋡·𝋰·𝋦
Chinese: 七百二十六
Chinese (financial): 柒佰貳拾陸

In other modern scripts

Eastern Arabic ٧٢٦ Devanagari ७२६ Bengali ৭২৬ Tamil ௭௨௬ Thai ๗๒๖ Tibetan ༧༢༦ Khmer ៧២៦ Lao ໗໒໖ Burmese ၇၂၆

Digit at this position in famous constants

π — Pi (π): Digit 726 = 3
e — Euler's number (e): Digit 726 = 8
φ — Golden ratio (φ): Digit 726 = 0
√2 — Pythagoras's (√2): Digit 726 = 8
ln 2 — Natural log of 2: Digit 726 = 7
γ — Euler-Mascheroni (γ): Digit 726 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 726, here are decompositions:

7 + 719 = 726
17 + 709 = 726
43 + 683 = 726
53 + 673 = 726
67 + 659 = 726
73 + 653 = 726
79 + 647 = 726
83 + 643 = 726

Showing the first eight; more decompositions exist.

Unicode codepoint

Modifier Letter Plus Sign

U+02D6

Modifier symbol (Sk)

UTF-8 encoding: CB 96 (2 bytes).

Lookup U+02D6 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0002D6

RGB(0, 2, 214)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.2.214.

Address: 0.0.2.214
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.2.214

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

Musical pitch

Heard as a frequency, 726 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯5 (740 Hz, -33¢)
Scientific pitch (C4 = 256 Hz): F♯5 (724.1 Hz, +5¢)
Baroque pitch (A4 = 415 Hz): G5 (739.4 Hz, -32¢)