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Number

1,046

1,046 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 1046 AD

Calendar year

Year 1046 (MXLVI) was a common year starting on Wednesday 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
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, 1046
Ended on
Thursday
December 31, 1046
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1040s
1040–1049
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
980
980 years before 2026.

In other calendars

Hebrew
4806 / 4807 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
437 / 438 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1589 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
424 / 425 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1038 / 1039 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
968 / 967 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
6,401
Recamán's sequence
a(4,327) = 1,046
Square (n²)
1,094,116
Cube (n³)
1,144,445,336
Divisor count
4
σ(n) — sum of divisors
1,572
φ(n) — Euler's totient
522
Sum of prime factors
525

Primality

Prime factorization: 2 × 523

Nearest primes: 1,039 (−7) · 1,049 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 523 (half) · 1046
Aliquot sum (sum of proper divisors): 526
Factor pairs (a × b = 1,046)
1 × 1046
2 × 523
First multiples
1,046 · 2,092 (double) · 3,138 · 4,184 · 5,230 · 6,276 · 7,322 · 8,368 · 9,414 · 10,460

Sums & aliquot sequence

As consecutive integers: 260 + 261 + 262 + 263
Aliquot sequence: 1,046 526 266 214 110 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
one thousand forty-six
Ordinal
1046th
Roman numeral
MXLVI
Binary
10000010110
Octal
2026
Hexadecimal
0x416
Base64
BBY=
One's complement
64,489 (16-bit)
In other bases
ternary (3) 1102202
quaternary (4) 100112
quinary (5) 13141
senary (6) 4502
septenary (7) 3023
nonary (9) 1382
undecimal (11) 871
duodecimal (12) 732
tridecimal (13) 626
tetradecimal (14) 54a
pentadecimal (15) 49b

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αμϛʹ
Mayan (base 20)
𝋢·𝋬·𝋦
Chinese
一千零四十六
Chinese (financial)
壹仟零肆拾陸
In other modern scripts
Eastern Arabic ١٠٤٦ Devanagari १०४६ Bengali ১০৪৬ Tamil ௧௦௪௬ Thai ๑๐๔๖ Tibetan ༡༠༤༦ Khmer ១០៤៦ Lao ໑໐໔໖ Burmese ၁၀၄၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,046 = 3
e — Euler's number (e)
Digit 1,046 = 0
φ — Golden ratio (φ)
Digit 1,046 = 5
√2 — Pythagoras's (√2)
Digit 1,046 = 9
ln 2 — Natural log of 2
Digit 1,046 = 7
γ — Euler-Mascheroni (γ)
Digit 1,046 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1046, here are decompositions:

  • 7 + 1039 = 1046
  • 13 + 1033 = 1046
  • 37 + 1009 = 1046
  • 79 + 967 = 1046
  • 109 + 937 = 1046
  • 127 + 919 = 1046
  • 139 + 907 = 1046
  • 163 + 883 = 1046

Showing the first eight; more decompositions exist.

Unicode codepoint
Ж
Cyrillic Capital Letter Zhe
U+0416
Uppercase letter (Lu)

UTF-8 encoding: D0 96 (2 bytes).

Hex color
#000416
RGB(0, 4, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.22.

Address
0.0.4.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.22

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

Position in π

The digit sequence 1046 first appears in π at position 25,357 of the decimal expansion (the 25,357ordinal-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.