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Number

1,035

1,035 is a composite number, odd, a calendar year.

1,035 (one thousand thirty-five) is an odd 4-digit number. It is a composite number with 12 divisors, and factors as 3² × 5 × 23. It is the 45th triangular number. Written other ways, in Roman numerals it is MXXXV and in binary, 10000001011.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Harshad / Niven Hexagonal Recamán's Sequence Triangular Year

Interestingness

Historical context — 1035 AD

Calendar year

Year 1035 (MXXXV) was a common year starting on Wednesday 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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1035
Ended on
Thursday
December 31, 1035
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1030s
1030–1039
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
991
991 years before 2026.

In other calendars

Hebrew
4795 / 4796 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
426 / 427 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Pig
Sexagenary cycle position 12 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1578 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
413 / 414 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1027 / 1028 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
957 / 956 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
5,301
Recamán's sequence
a(4,349) = 1,035
Square (n²)
1,071,225
Cube (n³)
1,108,717,875
Divisor count
12
σ(n) — sum of divisors
1,872
φ(n) — Euler's totient
528
Sum of prime factors
34

Primality

Prime factorization: 3 2 × 5 × 23

Nearest primes: 1,033 (−2) · 1,039 (+4)

Divisors & multiples

All divisors (12)
1 · 3 · 5 · 9 · 15 · 23 · 45 · 69 · 115 · 207 · 345 · 1035
Aliquot sum (sum of proper divisors): 837
Factor pairs (a × b = 1,035)
1 × 1035
3 × 345
5 × 207
9 × 115
15 × 69
23 × 45
First multiples
1,035 · 2,070 (double) · 3,105 · 4,140 · 5,175 · 6,210 · 7,245 · 8,280 · 9,315 · 10,350

Sums & aliquot sequence

As consecutive integers: 517 + 518 344 + 345 + 346 205 + 206 + 207 + 208 + 209 170 + 171 + 172 + 173 + 174 + 175
Aliquot sequence: 1,035 837 443 1 0 — terminates at zero

Continued fraction of √n

√1,035 = [32; (5, 1, 5, 64)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one thousand thirty-five
Ordinal
1035th
Roman numeral
MXXXV
Binary
10000001011
Octal
2013
Hexadecimal
0x40B
Base64
BAs=
One's complement
64,500 (16-bit)
Scientific notation
1.035 × 10³
As a duration
1,035 s = 17 minutes, 15 seconds
In other bases
ternary (3) 1102100
quaternary (4) 100023
quinary (5) 13120
senary (6) 4443
septenary (7) 3006
nonary (9) 1370
undecimal (11) 861
duodecimal (12) 723
tridecimal (13) 618
tetradecimal (14) 53d
pentadecimal (15) 490

As an angle

1,035° = 2 × 360° + 315°
315° ≈ 5.498 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αλεʹ
Mayan (base 20)
𝋢·𝋫·𝋯
Chinese
一千零三十五
Chinese (financial)
壹仟零參拾伍
In other modern scripts
Eastern Arabic ١٠٣٥ Devanagari १०३५ Bengali ১০৩৫ Tamil ௧௦௩௫ Thai ๑๐๓๕ Tibetan ༡༠༣༥ Khmer ១០៣៥ Lao ໑໐໓໕ Burmese ၁၀၃၅

Digit at this position in famous constants

π — Pi (π)
Digit 1,035 = 8
e — Euler's number (e)
Digit 1,035 = 2
φ — Golden ratio (φ)
Digit 1,035 = 9
√2 — Pythagoras's (√2)
Digit 1,035 = 5
ln 2 — Natural log of 2
Digit 1,035 = 7
γ — Euler-Mascheroni (γ)
Digit 1,035 = 2

Also seen as

Unicode codepoint
Ћ
Cyrillic Capital Letter Tshe
U+040B
Uppercase letter (Lu)

UTF-8 encoding: D0 8B (2 bytes).

Hex color
#00040B
RGB(0, 4, 11)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.11.

Address
0.0.4.11
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.11

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

Musical pitch

Heard as a frequency, 1,035 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, -19¢)
  • Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +18¢)
  • Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, -18¢)
Position in π

The digit sequence 1035 first appears in π at position 16,294 of the decimal expansion (the 16,294ordinal-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.

Related reading

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.