Number

1,032

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

1,032 (one thousand thirty-two) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 43. Its proper divisors sum to 1,608, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MXXXII and in binary, 10000001000.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,020 1,021 1,022 1,023 1,024 1,025 1,026 1,027 1,028 1,029 1,030 1,031 1,032 1,033 1,034 1,035 1,036 1,037 1,038 1,039 1,040 1,041 1,042 1,043 1,044

less more

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 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

Continued fraction of √n

√1,032 = [32; (8, 64)]

Period length 2 — the block in parentheses repeats forever.

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)
Scientific notation: 1.032 × 10³
As a duration: 1,032 s = 17 minutes, 12 seconds

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

Palindromic in base 7

As an angle

1,032° = 2 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

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

Cyrillic Capital Letter Je

U+0408

Uppercase letter (Lu)

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

Lookup U+0408 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 1,032 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, -24¢)
Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +13¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, -23¢)

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.

Look up 1032 on Pi Search ↗