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Number

1,016

1,016 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Flippable Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Year

Historical context — 1016 AD

Calendar year

Year 1016 (MXVI) 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, 1016
Ended on
Tuesday
December 31, 1016
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1010s
1010–1019
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
1,010
1010 years before 2026.

In other calendars

Hebrew
4776 / 4777 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
406 / 407 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dragon
Sexagenary cycle position 53 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1559 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
394 / 395 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1008 / 1009 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
938 / 937 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
10 bits
Reversed
6,101
Flips to (rotate 180°)
9,101
Recamán's sequence
a(4,387) = 1,016
Square (n²)
1,032,256
Cube (n³)
1,048,772,096
Divisor count
8
σ(n) — sum of divisors
1,920
φ(n) — Euler's totient
504
Sum of prime factors
133

Primality

Prime factorization: 2 3 × 127

Nearest primes: 1,013 (−3) · 1,019 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 127 · 254 · 508 (half) · 1016
Aliquot sum (sum of proper divisors): 904
Factor pairs (a × b = 1,016)
1 × 1016
2 × 508
4 × 254
8 × 127
First multiples
1,016 · 2,032 (double) · 3,048 · 4,064 · 5,080 · 6,096 · 7,112 · 8,128 · 9,144 · 10,160

Sums & aliquot sequence

As consecutive integers: 56 + 57 + … + 71
Aliquot sequence: 1,016 904 806 538 272 286 218 112 136 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand sixteen
Ordinal
1016th
Roman numeral
MXVI
Binary
1111111000
Octal
1770
Hexadecimal
0x3F8
Base64
A/g=
One's complement
64,519 (16-bit)
In other bases
ternary (3) 1101122
quaternary (4) 33320
quinary (5) 13031
senary (6) 4412
septenary (7) 2651
nonary (9) 1348
undecimal (11) 844
duodecimal (12) 708
tridecimal (13) 602
tetradecimal (14) 528
pentadecimal (15) 47b

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αιϛʹ
Mayan (base 20)
𝋢·𝋪·𝋰
Chinese
一千零一十六
Chinese (financial)
壹仟零壹拾陸
In other modern scripts
Eastern Arabic ١٠١٦ Devanagari १०१६ Bengali ১০১৬ Tamil ௧௦௧௬ Thai ๑๐๑๖ Tibetan ༡༠༡༦ Khmer ១០១៦ Lao ໑໐໑໖ Burmese ၁၀၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,016 = 4
e — Euler's number (e)
Digit 1,016 = 3
φ — Golden ratio (φ)
Digit 1,016 = 6
√2 — Pythagoras's (√2)
Digit 1,016 = 1
ln 2 — Natural log of 2
Digit 1,016 = 8
γ — Euler-Mascheroni (γ)
Digit 1,016 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016, here are decompositions:

  • 3 + 1013 = 1016
  • 7 + 1009 = 1016
  • 19 + 997 = 1016
  • 79 + 937 = 1016
  • 97 + 919 = 1016
  • 109 + 907 = 1016
  • 139 + 877 = 1016
  • 157 + 859 = 1016

Showing the first eight; more decompositions exist.

Unicode codepoint
ϸ
Greek Small Letter Sho
U+03F8
Lowercase letter (Ll)

UTF-8 encoding: CF B8 (2 bytes).

Hex color
#0003F8
RGB(0, 3, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.248.

Address
0.0.3.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.248

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

Position in π

The digit sequence 1016 first appears in π at position 9,986 of the decimal expansion (the 9,986ordinal-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.