Number

1,062

1,062 is a composite number, even, a calendar year.

1,062 (one thousand sixty-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 59. Its proper divisors sum to 1,278, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MLXII and in binary, 10000100110.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,050 1,051 1,052 1,053 1,054 1,055 1,056 1,057 1,058 1,059 1,060 1,061 1,062 1,063 1,064 1,065 1,066 1,067 1,068 1,069 1,070 1,071 1,072 1,073 1,074

less more

Historical context — 1062 AD

Calendar year

Year 1062 (MLXII) was a common year starting on Tuesday 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: Wednesday
January 1, 1062
Ended on: Wednesday
December 31, 1062
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1060s
1060–1069
Century: 11th century
1001–1100
Millennium: 2nd millennium
1001–2000
Years ago: 964
964 years before 2026.

In other calendars

Hebrew: 4822 / 4823 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 453 / 454 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1605 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 440 / 441 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1054 / 1055 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 984 / 983 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 2,601
Recamán's sequence: a(4,295) = 1,062
Square (n²): 1,127,844
Cube (n³): 1,197,770,328
Divisor count: 12
σ(n) — sum of divisors: 2,340
φ(n) — Euler's totient: 348
Sum of prime factors: 67

Primality

Prime factorization: 2 × 3 ² × 59

Nearest primes: 1,061 (−1) · 1,063 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 59 · 118 · 177 · 354 · 531 (half) · 1062

Aliquot sum (sum of proper divisors): 1,278

Factor pairs (a × b = 1,062)

1 × 1062

2 × 531

3 × 354

6 × 177

9 × 118

18 × 59

First multiples

1,062 · 2,124 (double) · 3,186 · 4,248 · 5,310 · 6,372 · 7,434 · 8,496 · 9,558 · 10,620

Sums & aliquot sequence

As consecutive integers: 353 + 354 + 355 264 + 265 + 266 + 267 114 + 115 + … + 122 83 + 84 + … + 94

Aliquot sequence: 1,062 → 1,278 → 1,530 → 2,682 → 3,168 → 6,660 → 14,088 → 21,192 → 31,848 → 47,832 → 71,808 → 148,512 → 359,520 → 946,848 → 1,895,712 → 4,539,360 → 12,180,336 — unresolved within range

Continued fraction of √n

√1,062 = [32; (1, 1, 2, 3, 32, 3, 2, 1, 1, 64)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one thousand sixty-two
Ordinal: 1062nd
Roman numeral: MLXII
Binary: 10000100110
Octal: 2046
Hexadecimal: 0x426
Base64: BCY=
One's complement: 64,473 (16-bit)
Scientific notation: 1.062 × 10³
As a duration: 1,062 s = 17 minutes, 42 seconds

In other bases

ternary (3) 1110100

quaternary (4) 100212

quinary (5) 13222

senary (6) 4530

septenary (7) 3045

nonary (9) 1410

undecimal (11) 886

duodecimal (12) 746

tridecimal (13) 639

tetradecimal (14) 55c

pentadecimal (15) 4ac

As an angle

1,062° = 2 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵αξβʹ
Mayan (base 20): 𝋢·𝋭·𝋢
Chinese: 一千零六十二
Chinese (financial): 壹仟零陸拾貳

In other modern scripts

Eastern Arabic ١٠٦٢ Devanagari १०६२ Bengali ১০৬২ Tamil ௧௦௬௨ Thai ๑๐๖๒ Tibetan ༡༠༦༢ Khmer ១០៦២ Lao ໑໐໖໒ Burmese ၁၀၆၂

Digit at this position in famous constants

π — Pi (π): Digit 1,062 = 6
e — Euler's number (e): Digit 1,062 = 0
φ — Golden ratio (φ): Digit 1,062 = 2
√2 — Pythagoras's (√2): Digit 1,062 = 4
ln 2 — Natural log of 2: Digit 1,062 = 2
γ — Euler-Mascheroni (γ): Digit 1,062 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1062, here are decompositions:

11 + 1051 = 1062
13 + 1049 = 1062
23 + 1039 = 1062
29 + 1033 = 1062
31 + 1031 = 1062
41 + 1021 = 1062
43 + 1019 = 1062
53 + 1009 = 1062

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter Tse

U+0426

Uppercase letter (Lu)

UTF-8 encoding: D0 A6 (2 bytes).

Lookup U+0426 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000426

RGB(0, 4, 38)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.38.

Address: 0.0.4.38
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.38

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

Musical pitch

Heard as a frequency, 1,062 Hz is closest to:

Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): C♯6 (1084.9 Hz, -37¢)
Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, +27¢)

Position in π

The digit sequence 1062 first appears in π at position 19,955 of the decimal expansion (the 19,955ordinal-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 1062 on Pi Search ↗