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Number

1,217

1,217 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Historical context — 1217 AD

Calendar year

Year 1217 (MCCXVII) was a common year starting on Sunday of the Julian calendar.

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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, 1217
Ended on
Sunday
December 31, 1217
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1210s
1210–1219
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
809
809 years before 2026.

In other calendars

Hebrew
4977 / 4978 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
613 / 614 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Ox
Sexagenary cycle position 14 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1760 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
595 / 596 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1209 / 1210 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1139 / 1138 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
14
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
7,121
Recamán's sequence
a(8,554) = 1,217
Square (n²)
1,481,089
Cube (n³)
1,802,485,313
Divisor count
2
σ(n) — sum of divisors
1,218
φ(n) — Euler's totient
1,216

Primality

1,217 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1217
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,217)
1 × 1217
First multiples
1,217 · 2,434 (double) · 3,651 · 4,868 · 6,085 · 7,302 · 8,519 · 9,736 · 10,953 · 12,170

Sums & aliquot sequence

As a sum of two squares: 16² + 31²
As consecutive integers: 608 + 609

Representations

In words
one thousand two hundred seventeen
Ordinal
1217th
Roman numeral
MCCXVII
Binary
10011000001
Octal
2301
Hexadecimal
0x4C1
Base64
BME=
One's complement
64,318 (16-bit)
In other bases
ternary (3) 1200002
quaternary (4) 103001
quinary (5) 14332
senary (6) 5345
septenary (7) 3356
nonary (9) 1602
undecimal (11) a07
duodecimal (12) 855
tridecimal (13) 728
tetradecimal (14) 62d
pentadecimal (15) 562

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασιζʹ
Mayan (base 20)
𝋣·𝋠·𝋱
Chinese
一千二百一十七
Chinese (financial)
壹仟貳佰壹拾柒
In other modern scripts
Eastern Arabic ١٢١٧ Devanagari १२१७ Bengali ১২১৭ Tamil ௧௨௧௭ Thai ๑๒๑๗ Tibetan ༡༢༡༧ Khmer ១២១៧ Lao ໑໒໑໗ Burmese ၁၂၁၇

Digit at this position in famous constants

π — Pi (π)
Digit 1,217 = 6
e — Euler's number (e)
Digit 1,217 = 2
φ — Golden ratio (φ)
Digit 1,217 = 4
√2 — Pythagoras's (√2)
Digit 1,217 = 5
ln 2 — Natural log of 2
Digit 1,217 = 3
γ — Euler-Mascheroni (γ)
Digit 1,217 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,213 (gap of 4)
  • Next prime: 1,223 (gap of 6)

Pair status: cousin with 1213, sexy with 1223.

Unicode codepoint
Ӂ
Cyrillic Capital Letter Zhe With Breve
U+04C1
Uppercase letter (Lu)

UTF-8 encoding: D3 81 (2 bytes).

Hex color
#0004C1
RGB(0, 4, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.193.

Address
0.0.4.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.193

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

Position in π

The digit sequence 1217 first appears in π at position 11,077 of the decimal expansion (the 11,077ordinal-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.