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Number

1,296

1,296 is a composite number, even, a calendar year.

Abundant Number Gapful Number Harshad / Niven Odious Number Perfect Square Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year Zuckerman Number

Historical context — 1296 AD

Calendar year

Year 1296 (MCCXCVI) was a leap 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
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Sunday
January 1, 1296
Ended on
Monday
December 31, 1296
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1290s
1290–1299
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
730
730 years before 2026.

In other calendars

Hebrew
5056 / 5057 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
695 / 696 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1839 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
674 / 675 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1288 / 1289 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1218 / 1217 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
108
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
6,921
Recamán's sequence
a(30,456) = 1,296
Square (n²)
1,679,616
Cube (n³)
2,176,782,336
Square root (√n)
36
Divisor count
25
σ(n) — sum of divisors
3,751
φ(n) — Euler's totient
432
Sum of prime factors
20

Primality

Prime factorization: 2 4 × 3 4

Nearest primes: 1,291 (−5) · 1,297 (+1)

Divisors & multiples

All divisors (25)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 36 · 48 · 54 · 72 · 81 · 108 · 144 · 162 · 216 · 324 · 432 · 648 (half) · 1296
Aliquot sum (sum of proper divisors): 2,455
Factor pairs (a × b = 1,296)
1 × 1296
2 × 648
3 × 432
4 × 324
6 × 216
8 × 162
9 × 144
12 × 108
16 × 81
18 × 72
24 × 54
27 × 48
36 × 36
First multiples
1,296 · 2,592 (double) · 3,888 · 5,184 · 6,480 · 7,776 · 9,072 · 10,368 · 11,664 · 12,960

Sums & aliquot sequence

As a sum of two squares: 0² + 36²
As consecutive integers: 431 + 432 + 433 140 + 141 + … + 148 35 + 36 + … + 61 25 + 26 + … + 56
Aliquot sequence: 1,296 2,455 497 79 1 0 — terminates at zero

Representations

In words
one thousand two hundred ninety-six
Ordinal
1296th
Roman numeral
MCCXCVI
Binary
10100010000
Octal
2420
Hexadecimal
0x510
Base64
BRA=
One's complement
64,239 (16-bit)
In other bases
ternary (3) 1210000
quaternary (4) 110100
quinary (5) 20141
senary (6) 10000
septenary (7) 3531
nonary (9) 1700
undecimal (11) a79
duodecimal (12) 900
tridecimal (13) 789
tetradecimal (14) 688
pentadecimal (15) 5b6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασϟϛʹ
Mayan (base 20)
𝋣·𝋤·𝋰
Chinese
一千二百九十六
Chinese (financial)
壹仟貳佰玖拾陸
In other modern scripts
Eastern Arabic ١٢٩٦ Devanagari १२९६ Bengali ১২৯৬ Tamil ௧௨௯௬ Thai ๑๒๙๖ Tibetan ༡༢༩༦ Khmer ១២៩៦ Lao ໑໒໙໖ Burmese ၁၂၉၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,296 = 6
e — Euler's number (e)
Digit 1,296 = 6
φ — Golden ratio (φ)
Digit 1,296 = 3
√2 — Pythagoras's (√2)
Digit 1,296 = 0
ln 2 — Natural log of 2
Digit 1,296 = 2
γ — Euler-Mascheroni (γ)
Digit 1,296 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1296, here are decompositions:

  • 5 + 1291 = 1296
  • 7 + 1289 = 1296
  • 13 + 1283 = 1296
  • 17 + 1279 = 1296
  • 19 + 1277 = 1296
  • 37 + 1259 = 1296
  • 47 + 1249 = 1296
  • 59 + 1237 = 1296

Showing the first eight; more decompositions exist.

Unicode codepoint
Ԑ
Cyrillic Capital Letter Reversed Ze
U+0510
Uppercase letter (Lu)

UTF-8 encoding: D4 90 (2 bytes).

Hex color
#000510
RGB(0, 5, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.16.

Address
0.0.5.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.16

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

Position in π

The digit sequence 1296 first appears in π at position 2,341 of the decimal expansion (the 2,341ordinal-suffix:st 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.