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Number

1,295

1,295 is a composite number, odd, a calendar year.

1,295 (one thousand two hundred ninety-five) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 5 × 7 × 37. Written other ways, in Roman numerals it is MCCXCV and in binary, 10100001111.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree Year

Interestingness

Historical context — 1295 AD

Calendar year

Year 1295 (MCCXCV) was a common 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
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
Saturday
January 1, 1295
Ended on
Saturday
December 31, 1295
Friday the 13ths
1
One Friday the 13th this year.
Decade
1290s
1290–1299
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
731
731 years before 2026.

In other calendars

Hebrew
5055 / 5056 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
694 / 695 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Goat
Sexagenary cycle position 32 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1838 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
673 / 674 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1287 / 1288 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1217 / 1216 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
90
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
5,921
Recamán's sequence
a(30,458) = 1,295
Square (n²)
1,677,025
Cube (n³)
2,171,747,375
Divisor count
8
σ(n) — sum of divisors
1,824
φ(n) — Euler's totient
864
Sum of prime factors
49

Primality

Prime factorization: 5 × 7 × 37

Nearest primes: 1,291 (−4) · 1,297 (+2)

Divisors & multiples

All divisors (8)
1 · 5 · 7 · 35 · 37 · 185 · 259 · 1295
Aliquot sum (sum of proper divisors): 529
Factor pairs (a × b = 1,295)
1 × 1295
5 × 259
7 × 185
35 × 37
First multiples
1,295 · 2,590 (double) · 3,885 · 5,180 · 6,475 · 7,770 · 9,065 · 10,360 · 11,655 · 12,950

Sums & aliquot sequence

As consecutive integers: 647 + 648 257 + 258 + 259 + 260 + 261 182 + 183 + … + 188 125 + 126 + … + 134
Aliquot sequence: 1,295 529 24 36 55 17 1 0 — terminates at zero

Continued fraction of √n

√1,295 = [35; (1, 70)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one thousand two hundred ninety-five
Ordinal
1295th
Roman numeral
MCCXCV
Binary
10100001111
Octal
2417
Hexadecimal
0x50F
Base64
BQ8=
One's complement
64,240 (16-bit)
Scientific notation
1.295 × 10³
As a duration
1,295 s = 21 minutes, 35 seconds
In other bases
ternary (3) 1202222
quaternary (4) 110033
quinary (5) 20140
senary (6) 5555
septenary (7) 3530
nonary (9) 1688
undecimal (11) a78
duodecimal (12) 8bb
tridecimal (13) 788
tetradecimal (14) 687
pentadecimal (15) 5b5
Palindromic in base 6, base 15

As an angle

1,295° = 3 × 360° + 215°
215° ≈ 3.752 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασϟεʹ
Mayan (base 20)
𝋣·𝋤·𝋯
Chinese
一千二百九十五
Chinese (financial)
壹仟貳佰玖拾伍
In other modern scripts
Eastern Arabic ١٢٩٥ Devanagari १२९५ Bengali ১২৯৫ Tamil ௧௨௯௫ Thai ๑๒๙๕ Tibetan ༡༢༩༥ Khmer ១២៩៥ Lao ໑໒໙໕ Burmese ၁၂၉၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,295 = 0
e — Euler's number (e)
Digit 1,295 = 9
φ — Golden ratio (φ)
Digit 1,295 = 9
√2 — Pythagoras's (√2)
Digit 1,295 = 7
ln 2 — Natural log of 2
Digit 1,295 = 0
γ — Euler-Mascheroni (γ)
Digit 1,295 = 7

Also seen as

Unicode codepoint
ԏ
Cyrillic Small Letter Komi Tje
U+050F
Lowercase letter (Ll)

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

Hex color
#00050F
RGB(0, 5, 15)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.15.

Address
0.0.5.15
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.15

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

Musical pitch

Heard as a frequency, 1,295 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, -31¢)
  • Scientific pitch (C4 = 256 Hz): E6 (1290.2 Hz, +6¢)
  • Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, -30¢)
Position in π

The digit sequence 1295 first appears in π at position 23,532 of the decimal expansion (the 23,532ordinal-suffix:nd 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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.