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Number

1,072

1,072 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1072 AD

Calendar year

Year 1072 (MLXXII) was a leap year starting on Sunday 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
Monday
January 1, 1072
Ended on
Tuesday
December 31, 1072
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1070s
1070–1079
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
954
954 years before 2026.

In other calendars

Hebrew
4832 / 4833 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
464 / 465 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Rat
Sexagenary cycle position 49 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1615 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
450 / 451 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1064 / 1065 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
994 / 993 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
2,701
Recamán's sequence
a(4,275) = 1,072
Square (n²)
1,149,184
Cube (n³)
1,231,925,248
Divisor count
10
σ(n) — sum of divisors
2,108
φ(n) — Euler's totient
528
Sum of prime factors
75

Primality

Prime factorization: 2 4 × 67

Nearest primes: 1,069 (−3) · 1,087 (+15)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 67 · 134 · 268 · 536 (half) · 1072
Aliquot sum (sum of proper divisors): 1,036
Factor pairs (a × b = 1,072)
1 × 1072
2 × 536
4 × 268
8 × 134
16 × 67
First multiples
1,072 · 2,144 (double) · 3,216 · 4,288 · 5,360 · 6,432 · 7,504 · 8,576 · 9,648 · 10,720

Sums & aliquot sequence

As consecutive integers: 18 + 19 + … + 49
Aliquot sequence: 1,072 1,036 1,092 2,044 2,100 4,844 4,900 7,469 1,939 285 195 141 51 21 11 1 0 — terminates at zero

Representations

In words
one thousand seventy-two
Ordinal
1072nd
Roman numeral
MLXXII
Binary
10000110000
Octal
2060
Hexadecimal
0x430
Base64
BDA=
One's complement
64,463 (16-bit)
In other bases
ternary (3) 1110201
quaternary (4) 100300
quinary (5) 13242
senary (6) 4544
septenary (7) 3061
nonary (9) 1421
undecimal (11) 895
duodecimal (12) 754
tridecimal (13) 646
tetradecimal (14) 568
pentadecimal (15) 4b7

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵αοβʹ
Mayan (base 20)
𝋢·𝋭·𝋬
Chinese
一千零七十二
Chinese (financial)
壹仟零柒拾貳
In other modern scripts
Eastern Arabic ١٠٧٢ Devanagari १०७२ Bengali ১০৭২ Tamil ௧௦௭௨ Thai ๑๐๗๒ Tibetan ༡༠༧༢ Khmer ១០៧២ Lao ໑໐໗໒ Burmese ၁၀၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,072 = 2
e — Euler's number (e)
Digit 1,072 = 7
φ — Golden ratio (φ)
Digit 1,072 = 2
√2 — Pythagoras's (√2)
Digit 1,072 = 3
ln 2 — Natural log of 2
Digit 1,072 = 9
γ — Euler-Mascheroni (γ)
Digit 1,072 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1072, here are decompositions:

  • 3 + 1069 = 1072
  • 11 + 1061 = 1072
  • 23 + 1049 = 1072
  • 41 + 1031 = 1072
  • 53 + 1019 = 1072
  • 59 + 1013 = 1072
  • 89 + 983 = 1072
  • 101 + 971 = 1072

Showing the first eight; more decompositions exist.

Unicode codepoint
а
Cyrillic Small Letter A
U+0430
Lowercase letter (Ll)

UTF-8 encoding: D0 B0 (2 bytes).

Hex color
#000430
RGB(0, 4, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.48.

Address
0.0.4.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.48

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

Position in π

The digit sequence 1072 first appears in π at position 8,419 of the decimal expansion (the 8,419ordinal-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.