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Number

1,014

1,014 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1014 AD

Calendar year

Year 1014 (MXIV) was a common year starting on Friday of the Julian calendar, the 1014th in topic the 1014th year of the Common Era (CE) and Anno Domini (AD) designations, the 14th year of the 2nd millennium, the 14th year of the 11th century, and the 5th year of the 1010s dec…

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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
Saturday
January 1, 1014
Ended on
Saturday
December 31, 1014
Friday the 13ths
1
One Friday the 13th this year.
Decade
1010s
1010–1019
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
1,012
1012 years before 2026.

In other calendars

Hebrew
4774 / 4775 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
404 / 405 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Tiger
Sexagenary cycle position 51 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1557 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
392 / 393 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1006 / 1007 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
936 / 935 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
10 bits
Reversed
4,101
Recamán's sequence
a(4,391) = 1,014
Square (n²)
1,028,196
Cube (n³)
1,042,590,744
Divisor count
12
σ(n) — sum of divisors
2,196
φ(n) — Euler's totient
312
Sum of prime factors
31

Primality

Prime factorization: 2 × 3 × 13 2

Nearest primes: 1,013 (−1) · 1,019 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 169 · 338 · 507 (half) · 1014
Aliquot sum (sum of proper divisors): 1,182
Factor pairs (a × b = 1,014)
1 × 1014
2 × 507
3 × 338
6 × 169
13 × 78
26 × 39
First multiples
1,014 · 2,028 (double) · 3,042 · 4,056 · 5,070 · 6,084 · 7,098 · 8,112 · 9,126 · 10,140

Sums & aliquot sequence

As consecutive integers: 337 + 338 + 339 252 + 253 + 254 + 255 79 + 80 + … + 90 72 + 73 + … + 84
Aliquot sequence: 1,014 1,182 1,194 1,206 1,446 1,458 1,821 611 61 1 0 — terminates at zero

Representations

In words
one thousand fourteen
Ordinal
1014th
Roman numeral
MXIV
Binary
1111110110
Octal
1766
Hexadecimal
0x3F6
Base64
A/Y=
One's complement
64,521 (16-bit)
In other bases
ternary (3) 1101120
quaternary (4) 33312
quinary (5) 13024
senary (6) 4410
septenary (7) 2646
nonary (9) 1346
undecimal (11) 842
duodecimal (12) 706
tridecimal (13) 600
tetradecimal (14) 526
pentadecimal (15) 479

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αιδʹ
Mayan (base 20)
𝋢·𝋪·𝋮
Chinese
一千零一十四
Chinese (financial)
壹仟零壹拾肆
In other modern scripts
Eastern Arabic ١٠١٤ Devanagari १०१४ Bengali ১০১৪ Tamil ௧௦௧௪ Thai ๑๐๑๔ Tibetan ༡༠༡༤ Khmer ១០១៤ Lao ໑໐໑໔ Burmese ၁၀၁၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,014 = 6
e — Euler's number (e)
Digit 1,014 = 1
φ — Golden ratio (φ)
Digit 1,014 = 5
√2 — Pythagoras's (√2)
Digit 1,014 = 8
ln 2 — Natural log of 2
Digit 1,014 = 2
γ — Euler-Mascheroni (γ)
Digit 1,014 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1014, here are decompositions:

  • 5 + 1009 = 1014
  • 17 + 997 = 1014
  • 23 + 991 = 1014
  • 31 + 983 = 1014
  • 37 + 977 = 1014
  • 43 + 971 = 1014
  • 47 + 967 = 1014
  • 61 + 953 = 1014

Showing the first eight; more decompositions exist.

Unicode codepoint
϶
Greek Reversed Lunate Epsilon Symbol
U+03F6
Math symbol (Sm)

UTF-8 encoding: CF B6 (2 bytes).

Hex color
#0003F6
RGB(0, 3, 246)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.246.

Address
0.0.3.246
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.246

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

Position in π

The digit sequence 1014 first appears in π at position 2,780 of the decimal expansion (the 2,780ordinal-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.