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Number

1,235

1,235 is a composite number, odd, a calendar year.

1,235 (one thousand two hundred thirty-five) is an odd 4-digit number. It is a composite number with 8 divisors, and factors as 5 × 13 × 19. Written other ways, in Roman numerals it is MCCXXXV and in binary, 10011010011.

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

Interestingness

Historical context — 1235 AD

Calendar year

Year 1235 (MCCXXXV) was a common year starting on Monday 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
Monday
January 1, 1235
Ended on
Monday
December 31, 1235
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1230s
1230–1239
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
791
791 years before 2026.

In other calendars

Hebrew
4995 / 4996 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
632 / 633 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
1778 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
613 / 614 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1227 / 1228 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1157 / 1156 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
30
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
5,321
Recamán's sequence
a(8,518) = 1,235
Square (n²)
1,525,225
Cube (n³)
1,883,652,875
Divisor count
8
σ(n) — sum of divisors
1,680
φ(n) — Euler's totient
864
Sum of prime factors
37

Primality

Prime factorization: 5 × 13 × 19

Nearest primes: 1,231 (−4) · 1,237 (+2)

Divisors & multiples

All divisors (8)
1 · 5 · 13 · 19 · 65 · 95 · 247 · 1235
Aliquot sum (sum of proper divisors): 445
Factor pairs (a × b = 1,235)
1 × 1235
5 × 247
13 × 95
19 × 65
First multiples
1,235 · 2,470 (double) · 3,705 · 4,940 · 6,175 · 7,410 · 8,645 · 9,880 · 11,115 · 12,350

Sums & aliquot sequence

As consecutive integers: 617 + 618 245 + 246 + 247 + 248 + 249 119 + 120 + … + 128 89 + 90 + … + 101
Aliquot sequence: 1,235 445 95 25 6 6 — reaches a perfect number

Continued fraction of √n

√1,235 = [35; (7, 70)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one thousand two hundred thirty-five
Ordinal
1235th
Roman numeral
MCCXXXV
Binary
10011010011
Octal
2323
Hexadecimal
0x4D3
Base64
BNM=
One's complement
64,300 (16-bit)
Scientific notation
1.235 × 10³
As a duration
1,235 s = 20 minutes, 35 seconds
In other bases
ternary (3) 1200202
quaternary (4) 103103
quinary (5) 14420
senary (6) 5415
septenary (7) 3413
nonary (9) 1622
undecimal (11) a23
duodecimal (12) 86b
tridecimal (13) 740
tetradecimal (14) 643
pentadecimal (15) 575
Palindromic in base 15

As an angle

1,235° = 3 × 360° + 155°
155° ≈ 2.705 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασλεʹ
Mayan (base 20)
𝋣·𝋡·𝋯
Chinese
一千二百三十五
Chinese (financial)
壹仟貳佰參拾伍
In other modern scripts
Eastern Arabic ١٢٣٥ Devanagari १२३५ Bengali ১২৩৫ Tamil ௧௨௩௫ Thai ๑๒๓๕ Tibetan ༡༢༣༥ Khmer ១២៣៥ Lao ໑໒໓໕ Burmese ၁၂၃၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,235 = 5
e — Euler's number (e)
Digit 1,235 = 7
φ — Golden ratio (φ)
Digit 1,235 = 7
√2 — Pythagoras's (√2)
Digit 1,235 = 6
ln 2 — Natural log of 2
Digit 1,235 = 6
γ — Euler-Mascheroni (γ)
Digit 1,235 = 8

Also seen as

Unicode codepoint
ӓ
Cyrillic Small Letter A With Diaeresis
U+04D3
Lowercase letter (Ll)

UTF-8 encoding: D3 93 (2 bytes).

Hex color
#0004D3
RGB(0, 4, 211)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.211.

Address
0.0.4.211
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.211

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

Musical pitch

Heard as a frequency, 1,235 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, -13¢)
  • Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, +24¢)
  • Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, -12¢)
Position in π

The digit sequence 1235 first appears in π at position 3,892 of the decimal expansion (the 3,892ordinal-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.