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Number

1,302

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

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

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 · 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
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

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)
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

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
Ԗ
Cyrillic Capital Letter Rha
U+0516
Uppercase letter (Lu)

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

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.

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.