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Number

1,032

1,032 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Historical context — 1032 AD

Calendar year

Year 1032 (MXXXII) was a leap year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
Sunday
January 1, 1032
Ended on
Monday
December 31, 1032
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
994
994 years before 2026.

In other calendars

Hebrew
4792 / 4793 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
423 / 424 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1575 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
410 / 411 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1024 / 1025 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
954 / 953 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
2,301
Recamán's sequence
a(4,355) = 1,032
Square (n²)
1,065,024
Cube (n³)
1,099,104,768
Divisor count
16
σ(n) — sum of divisors
2,640
φ(n) — Euler's totient
336
Sum of prime factors
52

Primality

Prime factorization: 2 3 × 3 × 43

Nearest primes: 1,031 (−1) · 1,033 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 43 · 86 · 129 · 172 · 258 · 344 · 516 (half) · 1032
Aliquot sum (sum of proper divisors): 1,608
Factor pairs (a × b = 1,032)
1 × 1032
2 × 516
3 × 344
4 × 258
6 × 172
8 × 129
12 × 86
24 × 43
First multiples
1,032 · 2,064 (double) · 3,096 · 4,128 · 5,160 · 6,192 · 7,224 · 8,256 · 9,288 · 10,320

Sums & aliquot sequence

As consecutive integers: 343 + 344 + 345 57 + 58 + … + 72 3 + 4 + … + 45
Aliquot sequence: 1,032 1,608 2,472 3,768 5,712 12,144 23,568 37,440 101,244 180,996 241,356 321,836 251,044 188,290 168,830 135,082 88,478 — unresolved within range

Representations

In words
one thousand thirty-two
Ordinal
1032nd
Roman numeral
MXXXII
Binary
10000001000
Octal
2010
Hexadecimal
0x408
Base64
BAg=
One's complement
64,503 (16-bit)
In other bases
ternary (3) 1102020
quaternary (4) 100020
quinary (5) 13112
senary (6) 4440
septenary (7) 3003
nonary (9) 1366
undecimal (11) 859
duodecimal (12) 720
tridecimal (13) 615
tetradecimal (14) 53a
pentadecimal (15) 48c

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αλβʹ
Mayan (base 20)
𝋢·𝋫·𝋬
Chinese
一千零三十二
Chinese (financial)
壹仟零參拾貳
In other modern scripts
Eastern Arabic ١٠٣٢ Devanagari १०३२ Bengali ১০৩২ Tamil ௧௦௩௨ Thai ๑๐๓๒ Tibetan ༡༠༣༢ Khmer ១០៣២ Lao ໑໐໓໒ Burmese ၁၀၃၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,032 = 5
e — Euler's number (e)
Digit 1,032 = 0
φ — Golden ratio (φ)
Digit 1,032 = 6
√2 — Pythagoras's (√2)
Digit 1,032 = 1
ln 2 — Natural log of 2
Digit 1,032 = 2
γ — Euler-Mascheroni (γ)
Digit 1,032 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1032, here are decompositions:

  • 11 + 1021 = 1032
  • 13 + 1019 = 1032
  • 19 + 1013 = 1032
  • 23 + 1009 = 1032
  • 41 + 991 = 1032
  • 61 + 971 = 1032
  • 79 + 953 = 1032
  • 103 + 929 = 1032

Showing the first eight; more decompositions exist.

Unicode codepoint
Ј
Cyrillic Capital Letter Je
U+0408
Uppercase letter (Lu)

UTF-8 encoding: D0 88 (2 bytes).

Hex color
#000408
RGB(0, 4, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.8.

Address
0.0.4.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.8

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

Position in π

The digit sequence 1032 first appears in π at position 9,206 of the decimal expansion (the 9,206ordinal-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.