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Number

71

71 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Emirp Evil Number Prime Recamán's Sequence Squarefree Twin Prime Year

Historical context — 71 AD

Calendar year

AD 71 (LXXI) was a common year starting on Tuesday of the Julian calendar.

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Historical context — 71 BC

Calendar year

Year 71 BC was a year of the pre-Julian Roman 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, 71
Ended on
Thursday
December 31, 71
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
70s
70–79
Century
1st century
1–100
Millennium
1st millennium
1–1000
Years ago
1,955
1955 years before 2026.

In other calendars

Hebrew
3831 / 3832 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Metal zodiac:Goat
Sexagenary cycle position 8 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
614 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
63 / 64 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
-7 / -8 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
2
Digit sum
8
Digit product
7
Digital root
8
Palindrome
No
Bit width
7 bits
Reversed
17
Recamán's sequence
a(85) = 71
Square (n²)
5,041
Cube (n³)
357,911
Divisor count
2
σ(n) — sum of divisors
72
φ(n) — Euler's totient
70

Primality

71 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 71
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 71)
1 × 71
First multiples
71 · 142 (double) · 213 · 284 · 355 · 426 · 497 · 568 · 639 · 710

Sums & aliquot sequence

As consecutive integers: 35 + 36

Representations

In words
seventy-one
Ordinal
71st
Roman numeral
LXXI
Binary
1000111
Octal
107
Hexadecimal
0x47
Base64
Rw==
One's complement
184 (8-bit)
In other bases
ternary (3) 2122
quaternary (4) 1013
quinary (5) 241
senary (6) 155
septenary (7) 131
nonary (9) 78
undecimal (11) 65
duodecimal (12) 5b
tridecimal (13) 56
tetradecimal (14) 51
pentadecimal (15) 4b

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹
Egyptian hieroglyphic
𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
οαʹ
Mayan (base 20)
𝋣·𝋫
Chinese
七十一
Chinese (financial)
柒拾壹
In other modern scripts
Eastern Arabic ٧١ Devanagari ७१ Bengali ৭১ Tamil ௭௧ Thai ๗๑ Tibetan ༧༡ Khmer ៧១ Lao ໗໑ Burmese ၇၁

Digit at this position in famous constants

π — Pi (π)
Digit 71 = 4
e — Euler's number (e)
Digit 71 = 6
φ — Golden ratio (φ)
Digit 71 = 4
√2 — Pythagoras's (√2)
Digit 71 = 4
ln 2 — Natural log of 2
Digit 71 = 6
γ — Euler-Mascheroni (γ)
Digit 71 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 67 (gap of 4)
  • Next prime: 73 (gap of 2)

Pair status: twin with 73, cousin with 67.

ASCII character

As an ASCII codepoint, 71 is G. Printable ASCII character G.

Hex color
#000047
RGB(0, 0, 71)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.71.

Address
0.0.0.71
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.71

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

US numbered highway

Matches numbered highway designation:

  • I-71 — Louisville, KY to Cleveland, OH.
Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000071
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.