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Number

1,048

1,048 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1048 AD

Calendar year

1048 (MXLVIII) was a leap year starting on Friday of the Julian calendar, the 1048th year of the Common Era (CE) and Anno Domini (AD) designations, the 48th year of the 2nd millennium and the 11th century, and the 9th year of the 1040s decade.

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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
Saturday
January 1, 1048
Ended on
Sunday
December 31, 1048
Friday the 13ths
1
One Friday the 13th this year.
Decade
1040s
1040–1049
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
978
978 years before 2026.

In other calendars

Hebrew
4808 / 4809 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
439 / 440 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1591 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
426 / 427 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1040 / 1041 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
970 / 969 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
8,401
Recamán's sequence
a(4,323) = 1,048
Square (n²)
1,098,304
Cube (n³)
1,151,022,592
Divisor count
8
σ(n) — sum of divisors
1,980
φ(n) — Euler's totient
520
Sum of prime factors
137

Primality

Prime factorization: 2 3 × 131

Nearest primes: 1,039 (−9) · 1,049 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 131 · 262 · 524 (half) · 1048
Aliquot sum (sum of proper divisors): 932
Factor pairs (a × b = 1,048)
1 × 1048
2 × 524
4 × 262
8 × 131
First multiples
1,048 · 2,096 (double) · 3,144 · 4,192 · 5,240 · 6,288 · 7,336 · 8,384 · 9,432 · 10,480

Sums & aliquot sequence

As consecutive integers: 58 + 59 + … + 73
Aliquot sequence: 1,048 932 706 356 274 140 196 203 37 1 0 — terminates at zero

Representations

In words
one thousand forty-eight
Ordinal
1048th
Roman numeral
MXLVIII
Binary
10000011000
Octal
2030
Hexadecimal
0x418
Base64
BBg=
One's complement
64,487 (16-bit)
In other bases
ternary (3) 1102211
quaternary (4) 100120
quinary (5) 13143
senary (6) 4504
septenary (7) 3025
nonary (9) 1384
undecimal (11) 873
duodecimal (12) 734
tridecimal (13) 628
tetradecimal (14) 54c
pentadecimal (15) 49d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αμηʹ
Mayan (base 20)
𝋢·𝋬·𝋨
Chinese
一千零四十八
Chinese (financial)
壹仟零肆拾捌
In other modern scripts
Eastern Arabic ١٠٤٨ Devanagari १०४८ Bengali ১০৪৮ Tamil ௧௦௪௮ Thai ๑๐๔๘ Tibetan ༡༠༤༨ Khmer ១០៤៨ Lao ໑໐໔໘ Burmese ၁၀၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,048 = 1
e — Euler's number (e)
Digit 1,048 = 3
φ — Golden ratio (φ)
Digit 1,048 = 9
√2 — Pythagoras's (√2)
Digit 1,048 = 9
ln 2 — Natural log of 2
Digit 1,048 = 2
γ — Euler-Mascheroni (γ)
Digit 1,048 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1048, here are decompositions:

  • 17 + 1031 = 1048
  • 29 + 1019 = 1048
  • 71 + 977 = 1048
  • 101 + 947 = 1048
  • 107 + 941 = 1048
  • 137 + 911 = 1048
  • 167 + 881 = 1048
  • 191 + 857 = 1048

Showing the first eight; more decompositions exist.

Unicode codepoint
И
Cyrillic Capital Letter I
U+0418
Uppercase letter (Lu)

UTF-8 encoding: D0 98 (2 bytes).

Hex color
#000418
RGB(0, 4, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.24.

Address
0.0.4.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.24

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

Position in π

The digit sequence 1048 first appears in π at position 2,874 of the decimal expansion (the 2,874ordinal-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.