Number

413

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

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Self Number Semiprime Squarefree Year

Historical context — 413 AD

Calendar year

Year 413 (CDXIII) was a common year starting on Wednesday of the Julian calendar.

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Historical context — 413 BC

Calendar year

Year 413 BC was a year of the pre-Julian Roman calendar.

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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: Tuesday
January 1, 413
Ended on: Tuesday
December 31, 413
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 410s
410–419
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,613
1613 years before 2026.

In other calendars

Hebrew: 4173 / 4174 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Ox
Sexagenary cycle position 50 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 956 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 405 / 406 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 335 / 334 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 8
Digit product: 12
Digital root: 8
Palindrome: No
Bit width: 9 bits
Reversed: 314
Recamán's sequence: a(490) = 413
Square (n²): 170,569
Cube (n³): 70,444,997
Divisor count: 4
σ(n) — sum of divisors: 480
φ(n) — Euler's totient: 348
Sum of prime factors: 66

Primality

Prime factorization: 7 × 59

Nearest primes: 409 (−4) · 419 (+6)

Divisors & multiples

All divisors (4)

1 · 7 · 59 · 413

Aliquot sum (sum of proper divisors): 67

Factor pairs (a × b = 413)

1 × 413

7 × 59

First multiples

413 · 826 (double) · 1,239 · 1,652 · 2,065 · 2,478 · 2,891 · 3,304 · 3,717 · 4,130

Sums & aliquot sequence

As consecutive integers: 206 + 207 56 + 57 + … + 62 23 + 24 + … + 36

Aliquot sequence: 413 → 67 → 1 → 0 — terminates at zero

Representations

In words: four hundred thirteen
Ordinal: 413th
Roman numeral: CDXIII
Binary: 110011101
Octal: 635
Hexadecimal: 0x19D
Base64: AZ0=
One's complement: 65,122 (16-bit)

In other bases

ternary (3) 120022

quaternary (4) 12131

quinary (5) 3123

senary (6) 1525

septenary (7) 1130

nonary (9) 508

undecimal (11) 346

duodecimal (12) 2a5

tridecimal (13) 25a

tetradecimal (14) 217

pentadecimal (15) 1c8

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian): υιγʹ
Mayan (base 20): 𝋡·𝋠·𝋭
Chinese: 四百一十三
Chinese (financial): 肆佰壹拾參

In other modern scripts

Eastern Arabic ٤١٣ Devanagari ४१३ Bengali ৪১৩ Tamil ௪௧௩ Thai ๔๑๓ Tibetan ༤༡༣ Khmer ៤១៣ Lao ໔໑໓ Burmese ၄၁၃

Digit at this position in famous constants

π — Pi (π): Digit 413 = 7
e — Euler's number (e): Digit 413 = 5
φ — Golden ratio (φ): Digit 413 = 4
√2 — Pythagoras's (√2): Digit 413 = 6
ln 2 — Natural log of 2: Digit 413 = 2
γ — Euler-Mascheroni (γ): Digit 413 = 5

Also seen as

Unicode codepoint

Latin Capital Letter N With Left Hook

U+019D

Uppercase letter (Lu)

UTF-8 encoding: C6 9D (2 bytes).

Lookup U+019D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00019D

RGB(0, 1, 157)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.157.

Address: 0.0.1.157
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.157

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

NANP area code 413

The number 413 is an active NANP area code (North American Numbering Plan).

Primary area: Western Massachusetts
Region: Massachusetts
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 413 ↗