Number

315

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

Arithmetic Number Deficient Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Year Zuckerman Number

Historical context — 315 AD

Calendar year

Year 315 (CCCXV) was a common year starting on Saturday of the Julian calendar.

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Historical context — 315 BC

Calendar year

Year 315 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: Friday
January 1, 315
Ended on: Friday
December 31, 315
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 310s
310–319
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,711
1711 years before 2026.

In other calendars

Hebrew: 4075 / 4076 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Pig
Sexagenary cycle position 12 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 858 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 307 / 308 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 237 / 236 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 9
Digit product: 15
Digital root: 9
Palindrome: No
Bit width: 9 bits
Reversed: 513
Recamán's sequence: a(618) = 315
Square (n²): 99,225
Cube (n³): 31,255,875
Divisor count: 12
σ(n) — sum of divisors: 624
φ(n) — Euler's totient: 144
Sum of prime factors: 18

Primality

Prime factorization: 3 ² × 5 × 7

Nearest primes: 313 (−2) · 317 (+2)

Divisors & multiples

All divisors (12)

1 · 3 · 5 · 7 · 9 · 15 · 21 · 35 · 45 · 63 · 105 · 315

Aliquot sum (sum of proper divisors): 309

Factor pairs (a × b = 315)

1 × 315

3 × 105

5 × 63

7 × 45

9 × 35

15 × 21

First multiples

315 · 630 (double) · 945 · 1,260 · 1,575 · 1,890 · 2,205 · 2,520 · 2,835 · 3,150

Sums & aliquot sequence

As consecutive integers: 157 + 158 104 + 105 + 106 61 + 62 + 63 + 64 + 65 50 + 51 + 52 + 53 + 54 + 55

Aliquot sequence: 315 → 309 → 107 → 1 → 0 — terminates at zero

Representations

In words: three hundred fifteen
Ordinal: 315th
Roman numeral: CCCXV
Binary: 100111011
Octal: 473
Hexadecimal: 0x13B
Base64: ATs=
One's complement: 65,220 (16-bit)

In other bases

ternary (3) 102200

quaternary (4) 10323

quinary (5) 2230

senary (6) 1243

septenary (7) 630

nonary (9) 380

undecimal (11) 267

duodecimal (12) 223

tridecimal (13) 1b3

tetradecimal (14) 187

pentadecimal (15) 160

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): τιεʹ
Mayan (base 20): 𝋯·𝋯
Chinese: 三百一十五
Chinese (financial): 參佰壹拾伍

In other modern scripts

Eastern Arabic ٣١٥ Devanagari ३१५ Bengali ৩১৫ Tamil ௩௧௫ Thai ๓๑๕ Tibetan ༣༡༥ Khmer ៣១៥ Lao ໓໑໕ Burmese ၃၁၅

Digit at this position in famous constants

π — Pi (π): Digit 315 = 1
e — Euler's number (e): Digit 315 = 0
φ — Golden ratio (φ): Digit 315 = 2
√2 — Pythagoras's (√2): Digit 315 = 3
ln 2 — Natural log of 2: Digit 315 = 4
γ — Euler-Mascheroni (γ): Digit 315 = 3

Also seen as

Unicode codepoint

Latin Capital Letter L With Cedilla

U+013B

Uppercase letter (Lu)

UTF-8 encoding: C4 BB (2 bytes).

Lookup U+013B on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00013B

RGB(0, 1, 59)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.59.

Address: 0.0.1.59
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.59

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

NANP area code 315

The number 315 is an active NANP area code (North American Numbering Plan).

Primary area: Syracuse / Utica
Region: New York
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 315 ↗