Number

1,302

1,302 is a composite number, even, a calendar year.

1,302 (one thousand three hundred two) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 31. Its proper divisors sum to 1,770, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCII and in binary, 10100010110.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,290 1,291 1,292 1,293 1,294 1,295 1,296 1,297 1,298 1,299 1,300 1,301 1,302 1,303 1,304 1,305 1,306 1,307 1,308 1,309 1,310 1,311 1,312 1,313 1,314

less more

Historical context — 1302 AD

Calendar year

Year 1302 (MCCCII) was a common year starting on Monday of the Julian 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: 52
Started on: Sunday
January 1, 1302
Ended on: Sunday
December 31, 1302
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1300s
1300–1309
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 724
724 years before 2026.

In other calendars

Hebrew: 5062 / 5063 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 701 / 702 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1845 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 680 / 681 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1294 / 1295 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1224 / 1223 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 2,031
Recamán's sequence: a(30,444) = 1,302
Square (n²): 1,695,204
Cube (n³): 2,207,155,608
Divisor count: 16
σ(n) — sum of divisors: 3,072
φ(n) — Euler's totient: 360
Sum of prime factors: 43

Primality

Prime factorization: 2 × 3 × 7 × 31

Nearest primes: 1,301 (−1) · 1,303 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 31 · 42 · 62 · 93 · 186 · 217 · 434 · 651 (half) · 1302

Aliquot sum (sum of proper divisors): 1,770

Factor pairs (a × b = 1,302)

1 × 1302

2 × 651

3 × 434

6 × 217

7 × 186

14 × 93

21 × 62

31 × 42

First multiples

1,302 · 2,604 (double) · 3,906 · 5,208 · 6,510 · 7,812 · 9,114 · 10,416 · 11,718 · 13,020

Sums & aliquot sequence

As consecutive integers: 433 + 434 + 435 324 + 325 + 326 + 327 183 + 184 + … + 189 103 + 104 + … + 114

Aliquot sequence: 1,302 → 1,770 → 2,550 → 4,146 → 4,158 → 7,362 → 8,628 → 11,532 → 16,272 → 29,670 → 46,362 → 46,374 → 48,666 → 48,678 → 70,362 → 86,118 → 92,058 — unresolved within range

Continued fraction of √n

√1,302 = [36; (12, 72)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred two
Ordinal: 1302nd
Roman numeral: MCCCII
Binary: 10100010110
Octal: 2426
Hexadecimal: 0x516
Base64: BRY=
One's complement: 64,233 (16-bit)
Scientific notation: 1.302 × 10³
As a duration: 1,302 s = 21 minutes, 42 seconds

In other bases

ternary (3) 1210020

quaternary (4) 110112

quinary (5) 20202

senary (6) 10010

septenary (7) 3540

nonary (9) 1706

undecimal (11) a84

duodecimal (12) 906

tridecimal (13) 792

tetradecimal (14) 690

pentadecimal (15) 5bc

Palindromic in base 5

As an angle

1,302° = 3 × 360° + 222°

222° ≈ 3.875 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓏺𓏺
Greek (Milesian): ͵ατβʹ
Mayan (base 20): 𝋣·𝋥·𝋢
Chinese: 一千三百零二
Chinese (financial): 壹仟參佰零貳

In other modern scripts

Eastern Arabic ١٣٠٢ Devanagari १३०२ Bengali ১৩০২ Tamil ௧௩௦௨ Thai ๑๓๐๒ Tibetan ༡༣༠༢ Khmer ១៣០២ Lao ໑໓໐໒ Burmese ၁၃၀၂

Digit at this position in famous constants

π — Pi (π): Digit 1,302 = 9
e — Euler's number (e): Digit 1,302 = 7
φ — Golden ratio (φ): Digit 1,302 = 9
√2 — Pythagoras's (√2): Digit 1,302 = 7
ln 2 — Natural log of 2: Digit 1,302 = 0
γ — Euler-Mascheroni (γ): Digit 1,302 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1302, here are decompositions:

5 + 1297 = 1302
11 + 1291 = 1302
13 + 1289 = 1302
19 + 1283 = 1302
23 + 1279 = 1302
43 + 1259 = 1302
53 + 1249 = 1302
71 + 1231 = 1302

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Rha

U+0516

Uppercase letter (Lu)

UTF-8 encoding: D4 96 (2 bytes).

Lookup U+0516 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000516

RGB(0, 5, 22)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.22.

Address: 0.0.5.22
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.22

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

Musical pitch

Heard as a frequency, 1,302 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +16¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -21¢)

Position in π

The digit sequence 1302 first appears in π at position 3,828 of the decimal expansion (the 3,828ordinal-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 1302 on Pi Search ↗