Number

1,413

1,413 is a composite number, odd, a calendar year.

Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1413 AD

Calendar year

Year 1413 (MCDXIII) was a common year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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, 1413
Ended on: Friday
December 31, 1413
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1410s
1410–1419
Century: 15th century
1401–1500
Millennium: 2nd millennium
1001–2000
Years ago: 613
613 years before 2026.

In other calendars

Hebrew: 5173 / 5174 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 815 / 816 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Snake
Sexagenary cycle position 30 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1956 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 791 / 792 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1405 / 1406 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1335 / 1334 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 9
Digit product: 12
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 3,141
Recamán's sequence: a(16,389) = 1,413
Square (n²): 1,996,569
Cube (n³): 2,821,151,997
Divisor count: 6
σ(n) — sum of divisors: 2,054
φ(n) — Euler's totient: 936
Sum of prime factors: 163

Primality

Prime factorization: 3 ² × 157

Nearest primes: 1,409 (−4) · 1,423 (+10)

Divisors & multiples

All divisors (6)

1 · 3 · 9 · 157 · 471 · 1413

Aliquot sum (sum of proper divisors): 641

Factor pairs (a × b = 1,413)

1 × 1413

3 × 471

9 × 157

First multiples

1,413 · 2,826 (double) · 4,239 · 5,652 · 7,065 · 8,478 · 9,891 · 11,304 · 12,717 · 14,130

Sums & aliquot sequence

As a sum of two squares: 18² + 33²

As consecutive integers: 706 + 707 470 + 471 + 472 233 + 234 + 235 + 236 + 237 + 238 153 + 154 + … + 161

Aliquot sequence: 1,413 → 641 → 1 → 0 — terminates at zero

Representations

In words: one thousand four hundred thirteen
Ordinal: 1413th
Roman numeral: MCDXIII
Binary: 10110000101
Octal: 2605
Hexadecimal: 0x585
Base64: BYU=
One's complement: 64,122 (16-bit)

In other bases

ternary (3) 1221100

quaternary (4) 112011

quinary (5) 21123

senary (6) 10313

septenary (7) 4056

nonary (9) 1840

undecimal (11) 1075

duodecimal (12) 999

tridecimal (13) 849

tetradecimal (14) 72d

pentadecimal (15) 643

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian): ͵αυιγʹ
Mayan (base 20): 𝋣·𝋪·𝋭
Chinese: 一千四百一十三
Chinese (financial): 壹仟肆佰壹拾參

In other modern scripts

Eastern Arabic ١٤١٣ Devanagari १४१३ Bengali ১৪১৩ Tamil ௧௪௧௩ Thai ๑๔๑๓ Tibetan ༡༤༡༣ Khmer ១៤១៣ Lao ໑໔໑໓ Burmese ၁၄၁၃

Digit at this position in famous constants

π — Pi (π): Digit 1,413 = 3
e — Euler's number (e): Digit 1,413 = 2
φ — Golden ratio (φ): Digit 1,413 = 0
√2 — Pythagoras's (√2): Digit 1,413 = 5
ln 2 — Natural log of 2: Digit 1,413 = 5
γ — Euler-Mascheroni (γ): Digit 1,413 = 2

Also seen as

Unicode codepoint

Armenian Small Letter Oh

U+0585

Lowercase letter (Ll)

UTF-8 encoding: D6 85 (2 bytes).

Lookup U+0585 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000585

RGB(0, 5, 133)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.133.

Address: 0.0.5.133
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.133

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

Position in π

The digit sequence 1413 first appears in π at position 2,725 of the decimal expansion (the 2,725ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1413 on Pi Search ↗