Number

426

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

426 (four hundred twenty-six) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 71. Its proper divisors sum to 438, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CDXXVI and in binary, 110101010.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438

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Historical context — 426 AD

Calendar year

Year 426 (CDXXVI) 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 — 426 BC

Calendar year

Year 426 BC was a year of the pre-Julian Roman calendar.

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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 426
Ended on: Thursday
December 31, 426
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 420s
420–429
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,600
1600 years before 2026.

In other calendars

Hebrew: 4186 / 4187 AM
Rosh Hashanah falls in September/October.
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: 969 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 418 / 419 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 348 / 347 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 48
Digital root: 3
Palindrome: No
Bit width: 9 bits
Reversed: 624
Recamán's sequence: a(4,791) = 426
Square (n²): 181,476
Cube (n³): 77,308,776
Divisor count: 8
σ(n) — sum of divisors: 864
φ(n) — Euler's totient: 140
Sum of prime factors: 76

Primality

Prime factorization: 2 × 3 × 71

Nearest primes: 421 (−5) · 431 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 71 · 142 · 213 (half) · 426

Aliquot sum (sum of proper divisors): 438

Factor pairs (a × b = 426)

1 × 426

2 × 213

3 × 142

6 × 71

First multiples

426 · 852 (double) · 1,278 · 1,704 · 2,130 · 2,556 · 2,982 · 3,408 · 3,834 · 4,260

Sums & aliquot sequence

As consecutive integers: 141 + 142 + 143 105 + 106 + 107 + 108 30 + 31 + … + 41

Aliquot sequence: 426 → 438 → 450 → 759 → 393 → 135 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√426 = [20; (1, 1, 1, 3, 2, 6, 2, 3, 1, 1, 1, 40)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: four hundred twenty-six
Ordinal: 426th
Roman numeral: CDXXVI
Binary: 110101010
Octal: 652
Hexadecimal: 0x1AA
Base64: Aao=
One's complement: 65,109 (16-bit)
Scientific notation: 4.26 × 10²
As a duration: 426 s = 7 minutes, 6 seconds

In other bases

ternary (3) 120210

quaternary (4) 12222

quinary (5) 3201

senary (6) 1550

septenary (7) 1146

nonary (9) 523

undecimal (11) 358

duodecimal (12) 2b6

tridecimal (13) 26a

tetradecimal (14) 226

pentadecimal (15) 1d6

As an angle

426° = 1 × 360° + 66°

66° ≈ 1.152 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): υκϛʹ
Mayan (base 20): 𝋡·𝋡·𝋦
Chinese: 四百二十六
Chinese (financial): 肆佰貳拾陸

In other modern scripts

Eastern Arabic ٤٢٦ Devanagari ४२६ Bengali ৪২৬ Tamil ௪௨௬ Thai ๔๒๖ Tibetan ༤༢༦ Khmer ៤២៦ Lao ໔໒໖ Burmese ၄၂၆

Digit at this position in famous constants

π — Pi (π): Digit 426 = 8
e — Euler's number (e): Digit 426 = 7
φ — Golden ratio (φ): Digit 426 = 0
√2 — Pythagoras's (√2): Digit 426 = 4
ln 2 — Natural log of 2: Digit 426 = 5
γ — Euler-Mascheroni (γ): Digit 426 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 426, here are decompositions:

5 + 421 = 426
7 + 419 = 426
17 + 409 = 426
29 + 397 = 426
37 + 389 = 426
43 + 383 = 426
47 + 379 = 426
53 + 373 = 426

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Letter Reversed Esh Loop

U+01AA

Lowercase letter (Ll)

UTF-8 encoding: C6 AA (2 bytes).

Lookup U+01AA on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0001AA

RGB(0, 1, 170)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.170.

Address: 0.0.1.170
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.170

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

Musical pitch

Heard as a frequency, 426 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯4 (415.3 Hz, +44¢)
Scientific pitch (C4 = 256 Hz): A4 (430.5 Hz, -18¢)
Baroque pitch (A4 = 415 Hz): A4 (415 Hz, +45¢ — about midway to A♯4)