Number

1,316

1,316 is a composite number, even, a calendar year.

1,316 (one thousand three hundred sixteen) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 47. Its proper divisors sum to 1,372, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCXVI and in binary, 10100100100.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,304 1,305 1,306 1,307 1,308 1,309 1,310 1,311 1,312 1,313 1,314 1,315 1,316 1,317 1,318 1,319 1,320 1,321 1,322 1,323 1,324 1,325 1,326 1,327 1,328

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Historical context — 1316 AD

Calendar year

Year 1316 (MCCCXVI) was a leap year starting on Thursday of the Julian calendar.

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

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 1316
Ended on: Thursday
December 31, 1316
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1310s
1310–1319
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 710
710 years before 2026.

In other calendars

Hebrew: 5076 / 5077 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 715 / 716 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Dragon
Sexagenary cycle position 53 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1859 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 694 / 695 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1308 / 1309 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1238 / 1237 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 11
Digit product: 18
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 6,131
Recamán's sequence: a(4,131) = 1,316
Square (n²): 1,731,856
Cube (n³): 2,279,122,496
Divisor count: 12
σ(n) — sum of divisors: 2,688
φ(n) — Euler's totient: 552
Sum of prime factors: 58

Primality

Prime factorization: 2 ² × 7 × 47

Nearest primes: 1,307 (−9) · 1,319 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 47 · 94 · 188 · 329 · 658 (half) · 1316

Aliquot sum (sum of proper divisors): 1,372

Factor pairs (a × b = 1,316)

1 × 1316

2 × 658

4 × 329

7 × 188

14 × 94

28 × 47

First multiples

1,316 · 2,632 (double) · 3,948 · 5,264 · 6,580 · 7,896 · 9,212 · 10,528 · 11,844 · 13,160

Sums & aliquot sequence

As consecutive integers: 185 + 186 + … + 191 161 + 162 + … + 168 5 + 6 + … + 51

Aliquot sequence: 1,316 → 1,372 → 1,428 → 2,604 → 4,564 → 4,620 → 11,508 → 19,404 → 42,840 → 125,640 → 283,860 → 633,420 → 1,562,004 → 2,535,180 → 5,206,260 → 9,371,436 → 12,495,276 — unresolved within range

Continued fraction of √n

√1,316 = [36; (3, 1, 1, 1, 1, 2, 3, 2, 3, 2, 1, 1, 1, 1, 3, 72)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred sixteen
Ordinal: 1316th
Roman numeral: MCCCXVI
Binary: 10100100100
Octal: 2444
Hexadecimal: 0x524
Base64: BSQ=
One's complement: 64,219 (16-bit)
Scientific notation: 1.316 × 10³
As a duration: 1,316 s = 21 minutes, 56 seconds

In other bases

ternary (3) 1210202

quaternary (4) 110210

quinary (5) 20231

senary (6) 10032

septenary (7) 3560

nonary (9) 1722

undecimal (11) a97

duodecimal (12) 918

tridecimal (13) 7a3

tetradecimal (14) 6a0

pentadecimal (15) 5cb

As an angle

1,316° = 3 × 360° + 236°

236° ≈ 4.119 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ατιϛʹ
Mayan (base 20): 𝋣·𝋥·𝋰
Chinese: 一千三百一十六
Chinese (financial): 壹仟參佰壹拾陸

In other modern scripts

Eastern Arabic ١٣١٦ Devanagari १३१६ Bengali ১৩১৬ Tamil ௧௩௧௬ Thai ๑๓๑๖ Tibetan ༡༣༡༦ Khmer ១៣១៦ Lao ໑໓໑໖ Burmese ၁၃၁၆

Digit at this position in famous constants

π — Pi (π): Digit 1,316 = 1
e — Euler's number (e): Digit 1,316 = 3
φ — Golden ratio (φ): Digit 1,316 = 0
√2 — Pythagoras's (√2): Digit 1,316 = 1
ln 2 — Natural log of 2: Digit 1,316 = 0
γ — Euler-Mascheroni (γ): Digit 1,316 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1316, here are decompositions:

13 + 1303 = 1316
19 + 1297 = 1316
37 + 1279 = 1316
67 + 1249 = 1316
79 + 1237 = 1316
103 + 1213 = 1316
163 + 1153 = 1316
193 + 1123 = 1316

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Pe With Descender

U+0524

Uppercase letter (Lu)

UTF-8 encoding: D4 A4 (2 bytes).

Lookup U+0524 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000524

RGB(0, 5, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.36.

Address: 0.0.5.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.36

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

Musical pitch

Heard as a frequency, 1,316 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -3¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +34¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -2¢)

Position in π

The digit sequence 1316 first appears in π at position 15,595 of the decimal expansion (the 15,595ordinal-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 1316 on Pi Search ↗