Number

1,256

1,256 is a composite number, even, a calendar year.

1,256 (one thousand two hundred fifty-six) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2³ × 157. Written other ways, in Roman numerals it is MCCLVI and in binary, 10011101000.

Ascending Digits Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Self Number Year

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,244 1,245 1,246 1,247 1,248 1,249 1,250 1,251 1,252 1,253 1,254 1,255 1,256 1,257 1,258 1,259 1,260 1,261 1,262 1,263 1,264 1,265 1,266 1,267 1,268

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Historical context — 1256 AD

Calendar year

Year 1256 (MCCLVI) was a leap year starting on Saturday 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: 52
Started on: Saturday
January 1, 1256
Ended on: Sunday
December 31, 1256
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1250s
1250–1259
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 770
770 years before 2026.

In other calendars

Hebrew: 5016 / 5017 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 653 / 654 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: 1799 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 634 / 635 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1248 / 1249 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1178 / 1177 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 60
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 6,521
Recamán's sequence: a(8,476) = 1,256
Square (n²): 1,577,536
Cube (n³): 1,981,385,216
Divisor count: 8
σ(n) — sum of divisors: 2,370
φ(n) — Euler's totient: 624
Sum of prime factors: 163

Primality

Prime factorization: 2 ³ × 157

Nearest primes: 1,249 (−7) · 1,259 (+3)

Divisors & multiples

All divisors (8)

1 · 2 · 4 · 8 · 157 · 314 · 628 (half) · 1256

Aliquot sum (sum of proper divisors): 1,114

Factor pairs (a × b = 1,256)

1 × 1256

2 × 628

4 × 314

8 × 157

First multiples

1,256 · 2,512 (double) · 3,768 · 5,024 · 6,280 · 7,536 · 8,792 · 10,048 · 11,304 · 12,560

Sums & aliquot sequence

As a sum of two squares: 10² + 34²

As consecutive integers: 71 + 72 + … + 86

Aliquot sequence: 1,256 → 1,114 → 560 → 928 → 962 → 634 → 320 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 — unresolved within range

Continued fraction of √n

√1,256 = [35; (2, 3, 1, 2, 17, 2, 1, 3, 2, 70)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one thousand two hundred fifty-six
Ordinal: 1256th
Roman numeral: MCCLVI
Binary: 10011101000
Octal: 2350
Hexadecimal: 0x4E8
Base64: BOg=
One's complement: 64,279 (16-bit)
Scientific notation: 1.256 × 10³
As a duration: 1,256 s = 20 minutes, 56 seconds

In other bases

ternary (3) 1201112

quaternary (4) 103220

quinary (5) 20011

senary (6) 5452

septenary (7) 3443

nonary (9) 1645

undecimal (11) a42

duodecimal (12) 888

tridecimal (13) 758

tetradecimal (14) 65a

pentadecimal (15) 58b

Palindromic in base 7, base 12

As an angle

1,256° = 3 × 360° + 176°

176° ≈ 3.072 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ασνϛʹ
Mayan (base 20): 𝋣·𝋢·𝋰
Chinese: 一千二百五十六
Chinese (financial): 壹仟貳佰伍拾陸

In other modern scripts

Eastern Arabic ١٢٥٦ Devanagari १२५६ Bengali ১২৫৬ Tamil ௧௨௫௬ Thai ๑๒๕๖ Tibetan ༡༢༥༦ Khmer ១២៥៦ Lao ໑໒໕໖ Burmese ၁၂၅၆

Digit at this position in famous constants

π — Pi (π): Digit 1,256 = 2
e — Euler's number (e): Digit 1,256 = 0
φ — Golden ratio (φ): Digit 1,256 = 4
√2 — Pythagoras's (√2): Digit 1,256 = 6
ln 2 — Natural log of 2: Digit 1,256 = 9
γ — Euler-Mascheroni (γ): Digit 1,256 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1256, here are decompositions:

7 + 1249 = 1256
19 + 1237 = 1256
43 + 1213 = 1256
103 + 1153 = 1256
127 + 1129 = 1256
139 + 1117 = 1256
163 + 1093 = 1256
193 + 1063 = 1256

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Barred O

U+04E8

Uppercase letter (Lu)

UTF-8 encoding: D3 A8 (2 bytes).

Lookup U+04E8 on Compart ↗ Lookup on FileFormat.Info ↗

Code page identifier

Code page 1256 is Windows-1256 (Arabic) — Microsoft Windows encoding for Arabic.

Code pages are integer identifiers used by Windows and other systems to refer to specific character encodings.

Microsoft code page reference ↗

Hex color

#0004E8

RGB(0, 4, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.232.

Address: 0.0.4.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.232

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

Musical pitch

Heard as a frequency, 1,256 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, +16¢)
Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, -46¢ — about midway to D♯6)
Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, +17¢)

Position in π

The digit sequence 1256 first appears in π at position 11,007 of the decimal expansion (the 11,007ordinal-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 1256 on Pi Search ↗